Mathematics and Mechanics of Solids Short Title: Math. Mech. Solids Publisher: SAGE Publications, Thousand Oaks, CA ISSN: 1081-2865; 1741-3028/e Online: https://journals.sagepub.com/loi/MMS Comments: Journal Documents Indexed: 1,726 Publications (since 1996) References Indexed: 1,493 Publications with 47,697 References. all top 5 Latest Issues 28, No. 1 (2023) 27, No. 12 (2022) 27, No. 11 (2022) 27, No. 10 (2022) 27, No. 9 (2022) 27, No. 8 (2022) 27, No. 7 (2022) 27, No. 6 (2022) 27, No. 5 (2022) 27, No. 4 (2022) 27, No. 3 (2022) 27, No. 2 (2022) 27, No. 1 (2022) 26, No. 12 (2021) 26, No. 11 (2021) 26, No. 10 (2021) 26, No. 9 (2021) 26, No. 8 (2021) 26, No. 7 (2021) 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 12 (2020) 25, No. 11 (2020) 25, No. 10 (2020) 25, No. 9 (2020) 25, No. 8 (2020) 25, No. 7 (2020) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 12 (2019) 24, No. 11 (2019) 24, No. 10 (2019) 24, No. 9 (2019) 24, No. 8 (2019) 24, No. 7 (2019) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 12 (2018) 23, No. 11 (2018) 23, No. 10 (2018) 23, No. 9 (2018) 23, No. 8 (2018) 23, No. 7 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 12 (2017) 22, No. 11 (2017) 22, No. 10 (2017) 22, No. 9 (2017) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 10 (2016) 21, No. 9 (2016) 21, No. 8 (2016) 21, No. 7 (2016) 21, No. 6 (2016) 21, No. 5 (2016) 21, No. 4 (2016) 21, No. 3 (2016) 21, No. 2 (2016) 21, No. 1 (2016) 20, No. 10 (2015) 20, No. 9 (2015) 20, No. 8 (2015) 20, No. 7 (2015) 20, No. 6 (2015) 20, No. 5 (2015) 20, No. 4 (2015) 20, No. 3 (2015) 20, No. 2 (2015) 20, No. 1 (2015) 19, No. 8 (2014) 19, No. 7 (2014) 19, No. 6 (2014) 19, No. 5 (2014) 19, No. 4 (2014) 19, No. 3 (2014) 19, No. 2 (2014) ...and 107 more Volumes all top 5 Authors 39 Schiavone, Peter 28 Rajagopal, Kumbakonam Ramamani 28 Wang, Xu 22 Wineman, Alan S. 20 Giorgio, Ivan 20 Steigmann, David J. 19 Mukhopadhyay, Santwana 19 Pruchnicki, Erick 18 Neff, Patrizio 16 dell’Isola, Francesco 16 Saccomandi, Giuseppe 15 Hill, James Murray 15 Ru, Chongqing 14 Steinmann, Paul 13 Epstein, Marcelo 13 Eremeyev, Victor A. 13 Placidi, Luca 12 Ericksen, Jerald LaVerne 12 Iesan, Dorin 12 Kaplunov, Julius D. 12 Ogden, Raymond William 12 Quintanilla de Latorre, Ramón 11 Barchiesi, Emilio 11 Constanda, Christian 11 Dai, Huihui 11 Šilhavý, Miroslav 11 Turco, Emilio 10 Casey, James 10 Cazzani, Antonio M. 10 Gao, Xinlin 10 Goriely, Alain 10 Madeo, Angela 10 Murphy, Jeremiah G. 10 Potapenko, Stanislav 10 Spagnuolo, Mario 9 Batra, Romesh C. 9 Beatty, Millard F. jun. 9 Bustamante, Roger 9 Ganghoffer, Jean-François 9 Horgan, Cornelius Oliver 9 Javili, Ali 9 Segev, Reuven 8 Chen, Weiqiu 8 Della Corte, Alessandro 8 Gao, Cun-Fa 8 Grillo, Alfio 8 Mi, Changwen 8 Paroni, Roberto 8 Scott, Nigel H. 8 Sofonea, Mircea 8 Vigdergauz, Shmuel 7 Dai, Ming 7 Elishakoff, Isaac 7 Federico, Salvatore 7 Oterkus, Erkan 7 Oterkus, Selda 7 Prikazchikov, Danila A. 7 Ting, Thomas C. T. 7 Wheeler, Lewis T. 7 Yavari, Arash 6 Andreaus, Ugo A. 6 Bersani, Alberto Maria 6 Buryachenko, Valeriy A. 6 Chudinovich, Igor Yuryevich 6 Ciallella, Alessandro 6 Cleja-Țigoiu, Sanda 6 Enakoutsa, Koffi 6 Fu, Yibin 6 Jiang, Qing 6 Kumar, Ajeet 6 Luongo, Angelo 6 Markenscoff, Xanthippi 6 Matei, Andaluzia Cristina 6 Maugin, Gérard A. 6 Merodio, Jose 6 Ostoja-Starzewski, Martin 6 Pence, Thomas J. 6 Scerrato, Daria 6 Sfyris, Dimitris 6 Sherief, Hany H. 6 Tambača, Josip 6 Yildizdag, M. Erden 5 Agrawal, Ashutosh 5 Băeşu, Eveline A. 5 Boulanger, Philippe 5 Carroll, Michael M. 5 Chatzigeorgiou, George 5 Coman, Ciprian D. 5 Demirkoparan, Hasan 5 Destrade, Michel 5 Erbaş, Bariş 5 Eugster, Simon Raphael 5 Fosdick, Roger L. 5 Ghiba, Ionel-Dumitrel 5 Hayes, Michael Alphonsus 5 Kim, Chun Il 5 Kouris, Demitris A. 5 Lebedev, Leonid Petrovich 5 Mioduchowski, Andrew 5 Misra, Anil ...and 2,044 more Authors all top 5 Fields 1,660 Mechanics of deformable solids (74-XX) 69 Partial differential equations (35-XX) 45 History and biography (01-XX) 43 Biology and other natural sciences (92-XX) 36 Mechanics of particles and systems (70-XX) 32 Classical thermodynamics, heat transfer (80-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Fluid mechanics (76-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 11 General and overarching topics; collections (00-XX) 11 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 5 Topological groups, Lie groups (22-XX) 5 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,253 Publications have been cited 8,521 times in 5,114 Documents Cited by ▼ Year ▼ Truss modular beams with deformation energy depending on higher displacement gradients. Zbl 1039.74028 Alibert, Jean-Jacques; Seppecher, Pierre; Dell’Isola, Francesco 195 2003 At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. Zbl 1330.74006 dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca 178 2015 Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008 Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G. 106 2015 Higher-gradient continua: the legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives. Zbl 1371.74024 Dell’isola, Francesco; Della Corte, Alessandro; Giorgio, Ivan 94 2017 Moore-Gibson-Thompson thermoelasticity. Zbl 07273404 Quintanilla, Ramón 83 2019 Isogeometric analysis of plane-curved beams. Zbl 1370.74084 Cazzani, Antonio; Malagù, Marcello; Turco, Emilio 81 2016 Conspectus of concepts of elasticity. Zbl 1269.74014 Rajagopal, K. R. 79 2011 On the elliptic inclusion in anti-plane shear. Zbl 1001.74509 Ru, Chong-Qing; Schiavone, Peter 65 1996 Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047 Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela 62 2014 Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591 Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano 61 1999 Peridynamics review. Zbl 07273389 Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda 61 2019 Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051 Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio 57 2016 Mechanical metamaterials: a state of the art. Zbl 1425.74036 Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca 57 2019 Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009 Jeong, Jena; Neff, Patrizio 54 2010 On the Cauchy-Born rule. Zbl 1161.74305 Ericksen, J. L. 49 2008 An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021 Gockenbach, Mark S.; Khan, Akhtar A. 49 2007 Nonlinear viscoelastic solids – a review. Zbl 1197.74021 Wineman, A. 47 2009 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013 Emmrich, Etienne; Weckner, Olaf 46 2007 Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026 Rajagopal, K. R. 44 2011 Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158 Han, Weimin 43 2018 Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. Zbl 1446.74171 Barchiesi, Emilio; Eugster, Simon R.; dell’isola, Francesco; Hild, François 43 2020 Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003 Eremeyev, Victor A.; Pietraszkiewicz, Wojciech 42 2016 The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe 40 2015 Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610 Healey, T. J. 39 2002 Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds. Zbl 07254358 Feng, Baowei; Yin, Mingyang 39 2019 Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004 Braides, Andrea; Gelli, Maria Stella 37 2002 Stress-modulated growth. Zbl 1149.74040 Ambrosi, D.; Guana, F. 37 2007 On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002 Sadik, Souhayl; Yavari, Arash 35 2017 A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022 Bustamante, R.; Rajagopal, K. R. 35 2010 On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033 Bustamante, R.; Dorfmann, A.; Ogden, R. W. 35 2008 A complete dynamic approach to the generalized beam theory cross-section analysis including extension and shear modes. Zbl 1299.74109 Piccardo, Giuseppe; Ranzi, Gianluca; Luongo, Angelo 33 2014 A clarification of the role of crack-tip conditions in linear elasticity with surface effects. Zbl 1528.74005 Kim, Ci; Ru, C.-Q.; Schiavone, P. 33 2013 A rate-independent approach to the delamination problem. Zbl 1133.74038 Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš 31 2006 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 31 2017 On the evolution of plasticity and incompatibility. Zbl 1133.74009 Gupta, Anurag; Steigmann, David J.; Stölken, James S. 30 2007 Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105 Placidi, Luca; El Dhaba, Amr Ramadan 29 2017 In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885 Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria 29 2021 On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019 Holzapfel, Gerhard A.; Ogden, Ray W. 29 2009 Uniform fields inside two non-elliptical inclusions. Zbl 07278887 Wang, Xu 29 2012 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012 Horgan, Cornelius O.; Saccomandi, Giuseppe 28 2002 A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007 AminPour, H.; Rizzi, N. 28 2016 Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012 Hassanpour, Soroosh; Heppler, Glenn R. 28 2017 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014 Yavari, Arash; Goriely, Alain 28 2013 On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588 Steigmann, D. J. 27 1999 Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203 Khludnev, A. M.; Faella, L.; Popova, T. S. 27 2017 On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052 Steigmann, David J. 27 2009 Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005 Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. 26 2021 Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060 Bîrsan, Mircea; Neff, Patrizio 26 2014 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100 Khludnev, A. M.; Leugering, G. R. 26 2015 Variational formulations, model comparisons and numerical methods for Euler-Bernoulli micro- and nano-beam models. Zbl 1425.74264 Niiranen, J.; Balobanov, V.; Kiendl, J.; Hosseini, SB 26 2019 A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105 Giorgio, Ivan 26 2020 Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701 Feng, Baowei; Soufyane, Abdelaziz 26 2020 Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464 Dai, Hui-Hui; Fan, Xiaojun 25 2004 Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303 Cazacu, Oana; Barlat, Frédéric 25 2001 On fractional thermoelasticity. Zbl 1269.74055 El-Karamany, Ahmed S.; Ezzat, Magdy A. 25 2011 Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257 Misra, Anil; Poorsolhjouy, Payam 25 2020 Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006 Saccomandi, Giuseppe; Beatty, Millard F. 24 2002 Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426 Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca 24 2021 Positive definiteness of anisotropic elastic constants. Zbl 1001.74511 Ting, T. C. T. 24 1996 A two-dimensional peridynamic model for thin plates. Zbl 1330.74111 Taylor, Michael; Steigmann, David J. 24 2015 A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267 Spagnuolo, Mario; Andreaus, Ugo 24 2019 An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048 Gockenbach, Mark S.; Khan, Akhtar A. 24 2009 Theory of linearly elastic residually stressed plates. Zbl 1093.74039 Paroni, Roberto 24 2006 Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014 Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A. 24 2013 A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale. Zbl 1197.74010 Sendova, T.; Walton, J. R. 23 2010 Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018 Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J. 23 2008 Who developed the so-called Timoshenko beam theory? Zbl 1446.74003 Elishakoff, Isaac 23 2020 Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065 Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 22 2014 Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193 Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore 22 2015 Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023 Ebobisse, François; Neff, Patrizio 22 2010 On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015 Beatty, Millard F. 22 2008 Existence of weak solutions in elasticity. Zbl 07280041 Eremeyev, Victor A.; Lebedev, Leonid P. 22 2013 Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. Zbl 07254367 Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah 22 2019 Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012 Steigmann, David J. 21 2003 A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027 Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne 21 2001 The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515 Chadwick, P. 21 1997 Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060 Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro 21 2016 Must elastic materials be hyperelastic? Zbl 1257.74017 Carroll, M. M. 21 2009 On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069 Sauer, Roger A.; Duong, Thang X. 21 2017 Uniform strain fields inside multiple inclusions in an elastic infinite plane under anti-plane shear. Zbl 1371.74027 Dai, Ming; Ru, C. Q.; Gao, Cun-Fa 20 2017 Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025 Mielke, Alexander 19 2004 Swelling-induced cavitation of elastic spheres. Zbl 1141.74014 Pence, Thomas J.; Tsai, Hungyu 19 2006 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566 Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 19 1999 A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions. Zbl 1371.74003 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo 19 2017 Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031 Magaña, A.; Quintanilla, R. 19 2009 Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007 Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J. 18 2001 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032 Bulíček, M.; Málek, J.; Süli, E. 18 2015 A Galerkin method for Biot consolidation model. Zbl 1197.74183 Owczarek, Sebastian 18 2010 On the theory of viscoelastic mixtures and stability. Zbl 1175.74028 Ieşan, D.; Nappa, L. 18 2008 On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 18 2018 Modeling of a non-local stimulus for bone remodeling process under cyclic load: application to a dental implant using a bioresorbable porous material. Zbl 1391.74156 Giorgio, Ivan; Andreaus, Ugo; Scerrato, Daria; Braidotti, Piero 18 2017 Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225 Liu, Zhenhai; Sofonea, Mircea 18 2019 Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266 Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco 18 2020 Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007 Steigmann, David J. 17 2002 Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048 Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte 17 2015 Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143 Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio 17 2020 The divergence theorem for divergence measure vector fields on sets with fractal boundaries. Zbl 1257.74014 Šilhavý, M. 17 2009 Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114 Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin 17 2018 Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039 Khludnev, Alexander M.; Shcherbakov, Viktor V. 17 2017 A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems. Zbl 1395.74035 Šilhavý, Miroslav 17 2018 On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms. Zbl 07968777 Al-Chlaihawi, Murtadha J.; Topol, Heiko; Demirkoparan, Hasan; Merodio, José 3 2023 Material swelling with partial confinement in the internally balanced generalization of hyperelasticity. Zbl 07968784 Zamani, Vahid; Demirkoparan, Hasan; Pence, Thomas J. 2 2023 Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. II: Determination of the spherical part of the couple-stress. Zbl 07968778 Soldatos, K. P. 1 2023 Unusual deformation patterns in a second-gradient cylindrical lattice shell: numerical experiments. Zbl 07968779 Ciallella, Alessandro; Steigmann, David J. 1 2023 The universal program of linear elasticity. Zbl 07968785 Yavari, Arash; Goriely, Alain 1 2023 Second-gradient continua: from Lagrangian to Eulerian and back. Zbl 07950201 Dell’isola, Francesco; Eugster, Simon R.; Fedele, Roberto; Seppecher, Pierre 12 2022 Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach. Zbl 07601695 Spagnuolo, Mario; Yildizdag, M. Erden; Pinelli, Xavier; Cazzani, Antonio; Hild, François 11 2022 A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams. Zbl 07590412 Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco 9 2022 Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory. Zbl 07590414 Merzouki, Tarek; Ahmed, Houari Mohammed Sid; Bessaim, Aicha; Haboussi, Mohamed; Dimitri, Rossana; Tornabene, Francesco 8 2022 On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains. Zbl 07590432 Eremeyev, Victor A.; dell’Isola, Francesco 8 2022 In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Zbl 07601703 Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco 8 2022 Variety of fiber orientation tensors. Zbl 07601704 Bauer, Julian Karl; Böhlke, Thomas 8 2022 Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary. Zbl 07590427 Zemlyanova, Anna Y.; White, Lauren M. 6 2022 Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Zbl 07590438 Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio 6 2022 Electrical analogs of curved beams and application to piezoelectric network damping. Zbl 07601664 Darleux, Robin; Lossouarn, Boris; Giorgio, Ivan; Dell’isola, Francesco; Deü, Jean-François 6 2022 Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains. Zbl 07590425 Almeida Júnior, D. S.; Ramos, A. J. A.; Freitas, M. M.; Dos Santos, M. J.; El Arwadi, T. 5 2022 Characterization of the symmetry class of an elasticity tensor using polynomial covariants. Zbl 07590418 Olive, Marc; Kolev, Boris; Desmorat, Rodrigue; Desmorat, Boris 5 2022 Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables. Zbl 07619123 Fedele, Roberto 5 2022 A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Zbl 07601714 Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan 5 2022 A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. Zbl 07590424 Yoon, Hyun C.; Mallikarjunaiah, S. M. 4 2022 On the extension of the mode-matching procedure for modeling a wave-bearing cavity. Zbl 07590428 Bilal, Hazrat; Afzal, Muhammad 4 2022 Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders. Zbl 07590417 Zhang, B.; Wang, X. H.; Elmaimouni, L.; Yu, J. G.; Zhang, X. M. 4 2022 Quadratic-stretch elasticity. Zbl 07590434 Vitral, E.; Hanna, J. A. 4 2022 Two-field variational formulations for a class of nonlinear mechanical models. Zbl 07619149 Matei, Andaluzia; Osiceanu, Madalina 4 2022 A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method. Zbl 07619133 Shekarchizadeh, Navid; Abali, Bilen Emek; Bersani, Alberto Maria 4 2022 On variational principles in coupled strain-gradient elasticity. Zbl 07619135 Nazarenko, Lidiia; Glüge, Rainer; Altenbach, Holm 4 2022 Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates. Zbl 07601665 Nasimsobhan, Maryam; Ganghoffer, Jean-François; Shamshirsaz, Mahnaz 4 2022 Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control. Zbl 07601697 Rizzi, Gianluca; D’Agostino, Marco Valerio; Neff, Patrizio; Madeo, Angela 4 2022 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729 Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 4 2022 A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. II: Variational formulations and applications in plates. Zbl 07950194 Qu, Yilin; Guo, Ziwen; Jin, Feng; Zhang, Gongye 4 2022 Decomposition of third-order constitutive tensors. Zbl 07590421 Itin, Yakov; Reches, Shulamit 3 2022 Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory. Zbl 07619120 Aydin, Gokhan; Sarar, B. Cagri; Yildizdag, M. Erden; Abali, B. Emek 3 2022 An updated Lagrangian Bézier finite element formulation for the analysis of slender beams. Zbl 07619127 Greco, Leopoldo; Cuomo, Massimo; Castello, Domenico; Scrofani, Angelo 3 2022 The effect of local random defects on the response of pantographic sheets. Zbl 07619129 La Valle, Gabriele; Ciallella, Alessandro; Falsone, Giovanni 3 2022 Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: numerical modeling and experiments. Zbl 07619130 Ciallella, Alessandro; Pasquali, Davide; D’Annibale, Francesco; Giorgio, Ivan 3 2022 Homogenization of the wave equation with non-uniformly oscillating coefficients. Zbl 07619139 Shahraki, Danial P.; Guzina, Bojan B. 3 2022 Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory. Zbl 07601663 Danesh, Hooman; Javanbakht, Mahdi 3 2022 Finsler differential geometry in continuum mechanics: fundamental concepts, history, and renewed application to ferromagnetic solids. Zbl 07601691 Clayton, John D. 3 2022 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719 Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 3 2022 Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Zbl 07601723 Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan 3 2022 Asymptotically correct boundary conditions for the higher-order theory of plate bending. Zbl 07601740 Wilde, Maria V.; Surova, Maria Yu; Sergeeva, Nadezhda V. 3 2022 Critical velocities and displacements of anisotropic tubes under a moving pressure. Zbl 07950199 Gao, Xin-Lin; Littlefield, Andrew G. 3 2022 Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields. Zbl 07619113 Wang, Xu; Schiavone, Peter 2 2022 Gradient plasticity in isotropic solids. Zbl 07619114 Steigmann, D. J. 2 2022 Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas. Zbl 07619117 Turco, Emilio 2 2022 Matrix-embedded metamaterials: applications for the architectural heritage. Zbl 07619136 Spagnuolo, Mario; Reccia, Emanuele; Ciallella, Alessandro; Cazzani, Antonio 2 2022 Characteristic foliations of material evolution: from remodeling to aging. Zbl 07619141 Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo 2 2022 A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties. Zbl 07601669 Stilz, Maximilian; Plappert, David; Gutmann, Florian; Hiermaier, Stefan 2 2022 History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems. Zbl 07601696 Hao, Jianwei; Wang, Jinrong; Han, Jiangfeng 2 2022 Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack. Zbl 07601707 Liu, Yuwei; Tang, Xuesong; Duan, Peiliang; Wang, Tao; Li, Peidong 2 2022 On tangent geometry and generalised continuum with defects. Zbl 07601708 Nguyen, Van Hoi; Casale, Guy; Le Marrec, Loïc 2 2022 Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings. Zbl 07601733 Zubov, Leonid; Karyakin, Mikhail 2 2022 Veering of Rayleigh-Lamb waves in orthorhombic materials. Zbl 07601738 Nobili, Andrea; Erbaş, Bariş; Signorini, Cesare 2 2022 On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions. Zbl 07601739 Eremeyev, Victor A.; Lebedev, Leonid P.; Konopińska-Zmysłowska, Violetta 2 2022 Nonlocal vibration of functionally graded nanoplates using a layerwise theory. Zbl 07950198 Belarbi, Mohamed-Ouejdi; Li, Li; Houari, Mohammed Sid Ahmed; Garg, Aman; Devidas Chalak, Hanuman; Dimitri, Rossana; Tornabene, Francesco 2 2022 Post-buckling of an elastic half-space coated by double layers. Zbl 07590419 Zhou, Mingtao; Cai, Zongxi; Fu, Yibin 1 2022 Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings. Zbl 07590435 Rodriguez, Casey 1 2022 Study on the generalized \(k\)-Hilfer-Prabhakar fractional viscoelastic-plastic model. Zbl 07590436 Feng, Yi-Ying; Yang, Xiao-Jun; Liu, Jian-Gen; Chen, Zhan-Qing 1 2022 Existence of solution in the bending of thin plates with Gurtin-Murdoch surface elasticity. Zbl 07590416 Gharahi, Alireza; Schiavone, Peter 1 2022 Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip. Zbl 07590429 Yang, Wenzhi; Pourasghar, Amin; Chen, Zengtao 1 2022 The effect of surface free energy on the fracture behaviors of nanoparticle-reinforced composites. Zbl 1535.74631 Zhang, Y. M.; Fan, M.; Xiao, Z. M.; Zhang, W. G. 1 2022 Lagrange formal calculus as applied to Lagrange mechanics: an exercise in anachronism. Zbl 07619121 Bersani, Alberto Maria; Bersani, Enrico; Caressa, Paolo 1 2022 On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter. Zbl 07601683 Cao, Rui; Mi, Changwen 1 2022 Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems. Zbl 07601684 Pettigrew, Joseph S.; Mulholland, Anthony J.; Tant, Katherine M. M. 1 2022 Analysis and control of an electro-elastic contact problem. Zbl 07601685 Chen, Tao; Hu, Rong; Sofonea, Mircea 1 2022 Anisotropic imperfect interface in elastic particulate composite with initial stress. Zbl 07601689 Kushch, Volodymyr I.; Mogilevskaya, Sofia G. 1 2022 Existence of solutions for a viscous hybrid quantum system for arbitrary large current density. Zbl 07619131 Di Michele, Federica; Rubino, Bruno; Sampalmieri, Rosella 1 2022 Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization. Zbl 07619137 Alavi, S. Ehsan; Ganghoffer, Jean-François; Sadighi, Mojtaba 1 2022 An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia. Zbl 07619142 Rahaman, Mohammad Masiur 1 2022 The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads. Zbl 07601667 Nart, E.; Alinia, Y.; Güler, M. A. 1 2022 A study on an incompressible polymeric pressurized vessel subjected to bulk degradation. Zbl 07601668 Kazemian, M.; Goudarzi, A. Moazemi; Hassani, A. 1 2022 On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. Zbl 07601670 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 1 2022 Letters of S. P. Timoshenko to V. I. Vernadsky recently discovered at Columbia University’s library, with analysis of his attitudes. Zbl 07601692 Elishakoff, Isaac 1 2022 Evolution of bone tissue based on angiogenesis as a crucial factor: new mathematical attempt. Zbl 07601693 Bednarczyk, Ewa; Lekszycki, Tomasz 1 2022 Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics. Zbl 07601694 Naghibzadeh, S. Kiana; Walkington, Noel; Dayal, Kaushik 1 2022 A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth. Zbl 07601716 Wang, Jiong; Li, Zhanfeng; Jin, Zili 1 2022 Axisymmetric necking versus Treloar-Kearsley instability in a hyperelastic sheet under equibiaxial stretching. Zbl 07601727 Wang, Mi; Jin, Lishuai; Fu, Yibin 1 2022 Higher order asymptotic homogenization for dynamical problems. Zbl 07601731 Andrianov, Igor I.; Andrianov, Igor V.; Starushenko, Galina A.; Borodin, Evgenij I. 1 2022 On waves in multi-scale chiral elastic systems. Zbl 07601741 Movchan, Alexander B.; Movchan, Natalia V.; Jones, Ian S. 1 2022 Static condensation of peridynamic heat conduction model. Zbl 07950200 Galadima, Yakubu Kasimu; Oterkus, Erkan; Oterkus, Selda 1 2022 In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885 Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria 29 2021 Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005 Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. 26 2021 Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426 Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca 24 2021 A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403 Jangid, Komal; Mukhopadhyay, Santwana 16 2021 Lagrangian descriptions of dissipative systems: a review. Zbl 07357428 Bersani, Alberto Maria; Caressa, Paolo 13 2021 An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density. Zbl 07582889 Rajagopal, K. R. 13 2021 Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. Zbl 07357405 Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. 11 2021 A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. I: Reconsideration of curvature-based flexoelectricity theory. Zbl 07589909 Qu, Yl; Zhang, Gy; Fan, Ym; Jin, F. 11 2021 Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach. Zbl 07357420 Chen, Jingkai; Jiao, Yiyu; Jiang, Wenchun; Zhang, Yanting 10 2021 Finite element formulations for constrained spatial nonlinear beam theories. Zbl 07589921 Harsch, Jonas; Capobianco, Giuseppe; Eugster, Simon R. 9 2021 On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials. Zbl 07589910 Anssari-Benam, Afshin 9 2021 The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. Zbl 1486.74112 Javanbakht, Mahdi; Ghaedi, Mohammad Sadegh; Barchiesi, Emilio; Ciallella, Alessandro 8 2021 Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 1486.74088 Turco, Emilio 7 2021 Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme). Zbl 1486.74003 Mühlich, Uwe; Abali, Bilen Emek; dell’Isola, Francesco 7 2021 A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. Zbl 07589899 Davoli, Elisa; Roubček, Tomáš; Stefanelli, Ulisse 7 2021 On the decay of the energy for radial solutions in Moore-Gibson-Thompson thermoelasticity. Zbl 07589901 Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón 7 2021 Influence of non-local diffusion in avascular tumour growth. Zbl 07582897 Ramírez-Torres, Ariel; Di Stefano, Salvatore; Grillo, Alfio 7 2021 On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization. Zbl 07589905 Mandadapu, Kranthi K.; Abali, B. Emek; Papadopoulos, Panayiotis 6 2021 Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects. Zbl 07357395 Demirkuş, Dilek 5 2021 A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400 Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav 5 2021 ...and 1153 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,695 Authors 100 Neff, Patrizio 91 Quintanilla de Latorre, Ramón 86 Schiavone, Peter 74 Rajagopal, Kumbakonam Ramamani 72 Wang, Xu 55 dell’Isola, Francesco 53 Fernández, Jose Ramon 52 Eremeyev, Victor A. 48 Steinmann, Paul 45 Placidi, Luca 44 Giorgio, Ivan 42 Sofonea, Mircea 41 Bustamante, Roger 40 Barchiesi, Emilio 40 Steigmann, David J. 38 Mukhopadhyay, Santwana 37 Saccomandi, Giuseppe 36 Madeo, Angela 34 Ghiba, Ionel-Dumitrel 34 Turco, Emilio 33 Goriely, Alain 31 Khan, Akhtar Ali 31 Wineman, Alan S. 30 Horgan, Cornelius Oliver 29 Khludnev, Aleksandr Mikhaĭlovich 28 Ogden, Raymond William 28 Yavari, Arash 27 Bazarra, Noelia 27 Roubíček, Tomáš 25 Lazarev, Nyurgun Petrovich 24 Dai, Huihui 24 Dai, Ming 23 Han, Weimin 23 Merodio, Jose 23 Migórski, Stanisław 22 Matei, Andaluzia Cristina 22 Misra, Anil 22 Sauer, Roger A. 21 Ganghoffer, Jean-François 21 Gao, Xinlin 21 Grillo, Alfio 21 Javili, Ali 21 Paroni, Roberto 21 Sur, Abhik 20 Murphy, Jeremiah G. 19 Destrade, Michel 19 Jadamba, Baasansuren 19 Kanoria, Mridula 19 Pence, Thomas J. 18 Bîrsan, Mircea 18 Federico, Salvatore 18 Ostoja-Starzewski, Martin 18 Stefanelli, Ulisse 17 Abali, Bilen Emek 17 Della Corte, Alessandro 17 Kaplunov, Julius D. 17 Kumar, Ajeet 17 Potapenko, Stanislav 17 Pruchnicki, Erick 17 Sama, Miguel 16 Constanda, Christian 16 Cuomo, Massimo 16 Eugster, Simon Raphael 16 Feng, Baowei 16 Kružík, Martin 16 Mondal, Sudip 16 Rizzi, Nicola Luigi 16 Rosi, Giuseppe A. 16 Solyaev, Yury O. 16 Spagnuolo, Mario 16 Tambača, Josip 15 Acharya, Amit 15 Andreaus, Ugo A. 15 Batra, Romesh C. 15 Gao, Cun-Fa 15 Greco, Leopoldo 15 Málek, Josef 15 Ortigosa, Rogelio 15 Oterkus, Erkan 15 Oterkus, Selda 15 Piersanti, Paolo 15 Segev, Reuven 15 Sfyris, Dimitris 15 Tomassetti, Giuseppe 15 Zeng, Shengda 15 Zhang, Gongye 14 Altenbach, Holm 14 Ansari, Reza 14 Cazzani, Antonio M. 14 Epstein, Marcelo 14 Gil, Antonio J. 14 Kovtunenko, Viktor Anatolievich 14 Lurie, Sergey A. 14 Owen, David Ross 14 Xiao, Yibin 13 Andrianov, Igor Vasil’evich 13 Bersani, Alberto Maria 13 Chen, Weiqiu 13 Ciallella, Alessandro 13 Deseri, Luca ...and 5,595 more Authors all top 5 Cited in 359 Journals 651 Mathematics and Mechanics of Solids 307 Acta Mechanica 303 Journal of Elasticity 271 International Journal of Engineering Science 254 Computer Methods in Applied Mechanics and Engineering 237 ZAMP. Zeitschrift für angewandte Mathematik und Physik 189 European Journal of Mechanics. A. Solids 170 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 156 Journal of the Mechanics and Physics of Solids 150 Continuum Mechanics and Thermodynamics 94 Applied Mathematical Modelling 90 Meccanica 84 Computational Mechanics 81 Wave Motion 61 International Journal for Numerical Methods in Engineering 54 Mathematical Methods in the Applied Sciences 52 Journal of Engineering Mathematics 49 International Journal of Solids and Structures 47 Archive for Rational Mechanics and Analysis 46 Journal of Mathematical Analysis and Applications 43 Engineering Analysis with Boundary Elements 43 Mathematics and Mechanics of Complex Systems 39 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 38 Journal of Computational and Applied Mathematics 35 Applicable Analysis 35 Computers & Mathematics with Applications 34 Waves in Random and Complex Media 32 Journal of Computational Physics 31 AMM. Applied Mathematics and Mechanics. (English Edition) 30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 30 Nonlinear Analysis. Real World Applications 29 Applied Mathematics and Computation 28 SIAM Journal on Applied Mathematics 28 Communications in Nonlinear Science and Numerical Simulation 25 Archive of Applied Mechanics 25 Journal of Nonlinear Science 19 Nonlinear Dynamics 18 International Journal of Plasticity 18 SIAM Journal on Mathematical Analysis 18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 17 Lobachevskii Journal of Mathematics 16 Applied Mathematics Letters 16 Mathematical Problems in Engineering 16 Discrete and Continuous Dynamical Systems. 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Académie des Sciences, Paris 11 Mediterranean Journal of Mathematics 11 Acta Mechanica Sinica 11 Networks and Heterogeneous Media 11 International Journal of Structural Stability and Dynamics 11 Evolution Equations and Control Theory 11 Matematicheskie Zametki SVFU 10 International Journal of Fracture 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 9 GAMM-Mitteilungen 9 International Journal for Computational Methods in Engineering Science and Mechanics 9 Mathematics in Engineering 8 Journal of Applied Mathematics and Mechanics 8 Acta Applicandae Mathematicae 8 Journal of Scientific Computing 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Nonlinear and Variational Analysis 7 Applied Mathematics and Optimization 7 Journal of Optimization Theory and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Numerical Mathematics 7 Journal of Applied Mechanics and Technical Physics 7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 6 Mechanics Research Communications 6 Numerical Functional Analysis and Optimization 6 Applied Mathematics and Mechanics. (English Edition) 6 Applications of Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Mathematical Sciences (New York) 6 Mathematical Modelling and Analysis 6 Archives of Computational Methods in Engineering 6 Boundary Value Problems 5 Journal of Fluid Mechanics 5 Ricerche di Matematica 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Computational Mathematics and Mathematical Physics 5 SIAM Journal on Scientific Computing 5 Multibody System Dynamics 5 Communications on Pure and Applied Analysis 5 International Journal of Computational Methods ...and 259 more Journals all top 5 Cited in 53 Fields 4,479 Mechanics of deformable solids (74-XX) 902 Partial differential equations (35-XX) 426 Numerical analysis (65-XX) 327 Calculus of variations and optimal control; optimization (49-XX) 278 Fluid mechanics (76-XX) 233 Biology and other natural sciences (92-XX) 143 Statistical mechanics, structure of matter (82-XX) 129 Mechanics of particles and systems (70-XX) 121 Classical thermodynamics, heat transfer (80-XX) 92 Differential geometry (53-XX) 89 Operator theory (47-XX) 59 Ordinary differential equations (34-XX) 58 Real functions (26-XX) 58 Optics, electromagnetic theory (78-XX) 56 Systems theory; control (93-XX) 53 Integral equations (45-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 41 Dynamical systems and ergodic theory (37-XX) 31 Functional analysis (46-XX) 31 Operations research, mathematical programming (90-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 History and biography (01-XX) 25 Functions of a complex variable (30-XX) 21 Geophysics (86-XX) 17 Measure and integration (28-XX) 17 Probability theory and stochastic processes (60-XX) 15 Quantum theory (81-XX) 14 Statistics (62-XX) 14 Computer science (68-XX) 12 General and overarching topics; collections (00-XX) 10 Topological groups, Lie groups (22-XX) 10 Special functions (33-XX) 9 Potential theory (31-XX) 9 Relativity and gravitational theory (83-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral transforms, operational calculus (44-XX) 7 Approximations and expansions (41-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year