# zbMATH — the first resource for mathematics

## 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
 Documents Indexed: 1,506 Publications (since 1996) References Indexed: 1,278 Publications with 37,874 References.
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#### Authors

 24 Rajagopal, Kumbakonam Ramamani 22 Schiavone, Peter 19 Mukhopadhyay, Santwana 19 Steigmann, David J. 19 Wineman, Alan S. 16 Neff, Patrizio 16 Pruchnicki, Erick 16 Wang, Xu 14 Hill, James Murray 14 Saccomandi, Giuseppe 14 Steinmann, Paul 13 Giorgio, Ivan 13 Placidi, Luca 12 Ericksen, Jerald Laverne 12 Ogden, Raymond William 11 Constanda, Christian 11 dell’Isola, Francesco 11 Epstein, Marcelo 11 Iesan, Dorin 11 Quintanilla de Latorre, Ramón 10 Casey, James 10 Potapenko, Stanislav 10 Šilhavý, Miroslav 9 Beatty, Millard F. jun. 9 Bustamante, Roger 9 Goriely, Alain 9 Javili, Ali 9 Murphy, Jeremiah G. 9 Segev, Reuven 8 Barchiesi, Emilio 8 Batra, Romesh C. 8 Della Corte, Alessandro 8 Ganghoffer, Jean-François 8 Horgan, Cornelius Oliver 8 Madeo, Angela 8 Paroni, Roberto 8 Scott, Nigel H. 8 Turco, Emilio 8 Vigdergauz, Shmuel 7 Dai, Hui-Hui 7 Dai, Ming 7 Eremeyev, Victor A. 7 Gao, Cun-Fa 7 Grillo, Alfio 7 Kaplunov, Julius D. 7 Mi, Changwen 7 Sofonea, Mircea 7 Ting, Thomas C. T. 6 Buryachenko, Valeriy A. 6 Cazzani, Antonio M. 6 Chudinovich, Igor Yuryevich 6 Cleja-Țigoiu, Sanda 6 Federico, Salvatore 6 Jiang, Qing 6 Kumar, Ajeet 6 Luongo, Angelo 6 Markenscoff, Xanthippi 6 Maugin, Gérard A. 6 Ostoja-Starzewski, Martin 6 Sfyris, Dimitris 6 Wheeler, Lewis T. 6 Yavari, Arash 5 Andreaus, Ugo A. 5 Băeşu, Eveline A. 5 Boulanger, Philippe 5 Carroll, Michael M. 5 Chatzigeorgiou, George 5 Chen, Weiqiu 5 Coman, Ciprian D. 5 Enakoutsa, Koffi 5 Fosdick, Roger L. 5 Kouris, Demitris A. 5 Matei, Andaluzia Cristina 5 Merodio, Jose 5 O’Reilly, Oliver Mary 5 Oterkus, Erkan 5 Oterkus, Selda 5 Pence, Thomas J. 5 Polignone Warne, Debra 5 Rosi, Giuseppe A. 5 Scerrato, Daria 5 Sherief, Hany H. 5 Tambača, Josip 5 Warne, Paul G. 4 Ansari, Reza 4 Arrigo, Daniel J. 4 Barnett, David M. 4 Bîrsan, Mircea 4 Buliga, Marius G. 4 Chen, Dao-Long 4 Chen, Tei-Chen 4 Ciarlet, Philippe Gaston 4 Criado-Aldeanueva, Francisco 4 Dargazany, Roozbeh 4 de Saxcé, Géry 4 Destrade, Michel 4 Dunwoody, J. 4 Elishakoff, Isaac 4 Ghiba, Ionel-Dumitrel 4 Gockenbach, Mark S. ...and 1,705 more Authors
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#### Fields

 1,449 Mechanics of deformable solids (74-XX) 63 Partial differential equations (35-XX) 36 Biology and other natural sciences (92-XX) 35 History and biography (01-XX) 32 Mechanics of particles and systems (70-XX) 31 Classical thermodynamics, heat transfer (80-XX) 28 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 12 General and overarching topics; collections (00-XX) 10 Real functions (26-XX) 10 Differential geometry (53-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

880 Publications have been cited 4,291 times in 2,856 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
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
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.
2015
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
2014
Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591
Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano
1999
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
2011
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
1996
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009
Jeong, Jena; Neff, Patrizio
2010
Isogeometric analysis of plane-curved beams. Zbl 1370.74084
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio
2016
Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio
2016
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
2007
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
2007
Nonlinear viscoelastic solids – a review. Zbl 1197.74021
Wineman, A.
2009
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
2017
On the Cauchy-Born rule. Zbl 1161.74305
Ericksen, J. L.
2008
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
2011
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
2002
Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610
Healey, T. J.
2002
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
2007
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
2014
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
2007
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
2006
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
2010
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
2016
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2008
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
2018
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
1996
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
2002
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
2006
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
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
2015
Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303
Cazacu, Oana; Barlat, Frédéric
2001
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
2014
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
2019
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
2002
Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D.
1999
Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193
Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore
2015
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
2017
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
2009
On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015
Beatty, Millard F.
2008
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
2008
The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515
1997
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
2004
Must elastic materials be hyperelastic? Zbl 1257.74017
Carroll, M. M.
2009
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
2001
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
1999
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
2009
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.
2010
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
2003
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
2016
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
2010
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
On the theory of viscoelastic mixtures and stability. Zbl 1175.74028
Ieşan, D.; Nappa, L.
2008
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
2001
Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065
Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul
2014
A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003
2014
A characterization of internally constrained thermoelastic materials. Zbl 1001.74552
Casey, J.; Krishnaswamy, S.
1998
A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003
Kannan, K.; Rajagopal, K. R.
2004
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
2002
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
2015
Euromech 563 Cisterna di Latina 17-21 March 2014. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Zbl 1370.74007
Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria
2017
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
2006
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
2004
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
2015
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
2009
Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. Zbl 1048.74008
Sudak, L. J.
2003
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
2004
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
2011
Analytical solution for a pressurized thick-walled spherical shell based on a simplified strain gradient elasticity theory. Zbl 1197.74068
Gao, X.-L.; Park, S. K.; Ma, H. M.
2009
Analysis of the air-damping effect on a micromachined beam resonator. Zbl 1048.74538
Zhang, Chuanli; Xu, Guanshui; Jiang, Qing
2003
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
2011
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203
Khludnev, A. M.; Faella, L.; Popova, T. S.
2017
Volumetric-distortional decomposition of deformation and elasticity tensor. Zbl 1257.74018
Federico, Salvatore
2010
Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306
Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C.
2008
Mathematical modeling of a solid-liquid mixture with mass exchange between constituents. Zbl 1143.74024
Fusi, L.; Farina, A.; Ambrosi, D.
2006
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
2001
Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517
Hill, James M.; Arrigo, Daniel J.
1996
Korn’s constant for a parallelepiped with a free face or pair of faces. Zbl 1001.74560
Ryzhak, E. I.
1999
The convexity properties of a class of constitutive models of biological soft tissues. Zbl 1072.74052
Wilber, J. Patrick; Walton, Jay R.
2002
A modified theory of magnetic effects in elastic materials. Zbl 1092.74012
Ericksen, J. L.
2006
Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Zbl 1327.74080
Bustamante, R.; Sfyris, D.
2015
The linear elasticity tensor of incompressible materials. Zbl 1327.74024
Federico, Salvatore; Grillo, Alfio; Imatani, Shoji
2015
Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte
2015
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
2017
Submacroscopically stable equilibria of elastic bodies undergoing disarrangements and dissipation. Zbl 1257.74056
Deseri, Luca; Owen, David R.
2010
Recursive derivation of one-dimensional models from three-dimensional nonlinear elasticity. Zbl 1175.74046
Meunier, Nicolas
2008
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
2017
Universal relations in constrained elasticity. Zbl 1001.74518
Pucci, Edvige; Saccomandi, Giuseppe
1996
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
2010
On the solution of mixed problems in anti-plane micropolar elasticity. Zbl 1034.74010
Potapenko, S.; Schiavone, P.; Mioduchowski, A.
2003
On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117
2011
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
2017
On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
2017
Nonlinear constitutive laws in viscoelasticity. Zbl 1419.74069
Drapaca, C. S.; Sivaloganathan, S.; Tenti, G.
2007
Some remarks on kinematic modeling of limiting chain extensibility. Zbl 1143.74007
Murphy, Jeremiah G.
2006
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
2019
On a class of higher-order pseudo-rigid bodies. Zbl 1019.74001
2001
Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114
Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin
2018
Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039
Khludnev, Alexander M.; Shcherbakov, Viktor V.
2017
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 07357386
Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M.
2021
Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 07357389
Turco, Emilio
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.
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
2021
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
2020
A Kirchhoff plate formulation in a state-based peridynamic framework. Zbl 1446.74161
Yang, Zhenghao; Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
2020
Reduced algebraic conditions for plane or axial tensorial symmetries. Zbl 07289150
Olive, M.; Desmorat, B.; Kolev, B.; Desmorat, R.
2020
Who developed the so-called Timoshenko beam theory? Zbl 1446.74003
Elishakoff, Isaac
2020
Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. Zbl 1446.74171
Barchiesi, Emilio; Eugster, Simon R.; dell&rsquo;isola, Francesco; Hild, François
2020
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 07272661
Giorgio, Ivan
2020
Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory. Zbl 07272675
Bîrsan, Mircea
2020
Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann-Ogden surface model. Zbl 07259263
Ban, Youxue; Mi, Changwen
2020
Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143
Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius
2020
On the dependence of standard and gradient elastic material constants on a field of defects. Zbl 1446.74090
Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca
2020
On the peridynamic formulation for an orthotropic Mindlin plate under bending. Zbl 1446.74162
Yolum, Ugur; Güler, M. A.
2020
An existence and uniqueness theorem for the dynamics of flexural shells. Zbl 1446.74167
Piersanti, Paolo
2020
Extended granular micromechanics approach: a micromorphic theory of degree $$n$$. Zbl 1446.74104
2020
New $$\delta$$-shock waves in the $$p$$-system: a distributional product approach. Zbl 1446.74150
2020
A new Bernoulli-Euler beam model based on a reformulated strain gradient elasticity theory. Zbl 1446.74156
Zhang, Gongye; Gao, Xin-Lin
2020
Numerical simulations for the dynamics of flexural shells. Zbl 1446.74168
Shen, Xiaoqin; Piersanti, Luisa; Piersanti, Paolo
2020
Riemannian and Euclidean material structures in anelasticity. Zbl 07272672
Sozio, Fabio; Yavari, Arash
2020
Geometric description of time-dependent finite-dimensional mechanical systems. Zbl 07289146
Eugster, Simon R.; Capobianco, Giuseppe; Winandy, Tom
2020
Stiffness optimization in nonlinear pantographic structures. Zbl 07289156
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
2020
A review of de Broglie particle-wave mechanical systems. Zbl 07259256
Hill, James M.
2020
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
2020
Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266
Yildizdag, M. Erden; Barchiesi, Emilio; dell&rsquo;Isola, Francesco
2020
Asymptotic stability for a laminated beam with structural damping and infinite memory. Zbl 07259267
Liu, Wenjun; Kong, Xiangyu; Li, Gang
2020
Elastoplastic deformation in an orthotropic spherical shell subjected to a temperature gradient. Zbl 1446.74169
Thakur, Pankaj; Sethi, Monika
2020
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Zbl 1446.74093
Ebobisse, François; Neff, Patrizio
2020
A note on the compatibility equations for three-dimensional axisymmetric problems. Zbl 1446.74070
Lubarda, M. V.; Lubarda, V. A.
2020
Dispersion characteristics of periodic structural systems using higher order beam element dynamics. Zbl 1446.74130
Ayad, M.; Karathanasopoulos, N.; Reda, H.; Ganghoffer, J. F.; Lakiss, H.
2020
A circular Eshelby inclusion interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses. Zbl 1446.74101
Wang, Xu; Yang, Ping; Schiavone, Peter
2020
Equilibrium paths of a three-bar truss in finite elasticity with an application to graphene. Zbl 1446.74155
Pelliciari, Matteo; Tarantino, Angelo Marcello
2020
Steady vibration problems in the coupled linear theory of porous elastic solids. Zbl 1446.74135
2020
Linear theory for the mechanics of third-gradient continua reinforced with fibers resistance to flexure. Zbl 1446.74078
Bolouri, Seyed Ehsan Seyed; Kim, Chun I. L.; Yang, Seunghwa
2020
The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘strain tensor, strain deviator and stress tensor for finite deformations’. Zbl 07272660
Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J.
2020
Shell design from planar pre-stressed structures. Zbl 07272671
Danescu, Alexandre; Ionescu, Ioan R.
2020
Tykhonov well-posedness of a frictionless unilateral contact problem. Zbl 07272673
Liu, Zhenhai; Sofonea, Mircea; Xiao, Yi-Bin
2020
Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models. Zbl 07272681
Forest, Samuel; Sab, Karam
2020
Analysis of size dependency on love-type wave propagation in a functionally graded piezoelectric smart material. Zbl 07272698
Sharma, Vanita; Kumar, Satish
2020
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
2019
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
2019
A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267
Spagnuolo, Mario; Andreaus, Ugo
2019
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
2019
Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225
Liu, Zhenhai; Sofonea, Mircea
2019
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
2019
An Euler-Bernoulli beam formulation in an ordinary state-based peridynamic framework. Zbl 1447.74025
Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
2019
Generalized error-minimizing, rational inverse Langevin approximations. Zbl 1425.74083
Marchi, Benjamin C.; Arruda, Ellen M.
2019
Vacancies for controlling the behavior of microstructured three-dimensional mechanical metamaterials. Zbl 1447.74034
Vangelatos, Z.; Komvopoulos, K.; Grigoropoulos, C. P.
2019
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature. Zbl 07273403
Bîrsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
2019
Mechanics of fiber composites with fibers resistant to extension and flexure. Zbl 1425.74134
Zeidi, Mahdi; Kim, Chun Il
2019
Stability of a thermoelastic mixture with second sound. Zbl 1425.74218
Alves, Margareth S.; Ferreira, Marcio V.; Muñoz Rivera, Jaime E.; Vera Villagrán, O.
2019
From non-local Eringen’s model to fractional elasticity. Zbl 1425.74093
Evgrafov, Anton; Bellido, José C.
2019
Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
2019
Exact solutions for elastic response in micro- and nano-beams considering strain gradient elasticity. Zbl 1442.74106
Sidhardh, Sai; Ray, Manas C.
2019
Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. Zbl 07254367
Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah
2019
Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms. Zbl 07273387
Krömer, Stefan; Valdman, Jan
2019
Notes on superposed incremental deformations in the mechanics of lipid membranes. Zbl 1425.74273
Zeidi, Mahdi; Kim, Chun Il
2019
Modified Eshelby tensor for an anisotropic matrix with interfacial damage. Zbl 1425.74116
Lee, Sangryun; Lee, Jinyeop; Ryu, Seunghwa
2019
Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity. Zbl 1445.74016
2019
Computation of elastic equilibria of complete Möbius bands and their stability. Zbl 1446.74154
Moore, Alexander; Healey, Timothy
2019
A reduced mixed finite-element formulation for modeling the viscoelastic response of electro-active polymers at finite deformation. Zbl 1440.74375
Bishara, Dana; Jabareen, Mahmood
2019
A semianalytical and finite element solution to the unbonded contact between a frictionless layer and an FGM-coated half-plane. Zbl 1447.74038
Yan, Jie; Mi, Changwen; Liu, Zhixin
2019
Second gradient homogenization of multilayered composites based on the method of oscillating functions. Zbl 07254350
Maurice, Gérard; Ganghoffer, Jean-François; Rahali, Yosra
2019
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
2019
An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory-dependent derivatives inside a thick plate. Zbl 07254360
2019
Transient interior analytical solutions of Lamb’s problem. Zbl 07273379
2019
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
2019
Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff-Love plates with a crack. Zbl 07273390
Lazarev, Nyurgun; Itou, Hiromichi
2019
Homogenized elastic response of random fiber networks based on strain gradient continuum models. Zbl 07273398
Berkache, Kamel; Deogekar, Sai; Goda, Ibrahim; Picu, R. Catalin; Ganghoffer, Jean-François
2019
Nanoindentation hardness of a Steigmann-Ogden surface bounding an elastic half-space. Zbl 07273338
Li, Xiaobao; Mi, Changwen
2019
Transient analysis of nonlinear locally resonant metamaterials via computational homogenization. Zbl 07273358
van Nuland, Tim F. W.; Silva, Priscilla B.; Sridhar, Ashwin; Geers, Marc G. D.; Kouznetsova, Varvara G.
2019
Modelling flexible multi-link robots for vibration control: numerical simulations and real-time experiments. Zbl 1425.74223
Giorgio, Ivan; Della Corte, Alessandro; Del Vescovo, Dionisio
2019
Frames of reference in multibody dynamics. Zbl 1425.70014
Lidström, Per
2019
Dynamic analysis of a cylindrical cavity in inhomogeneous elastic half-space subjected to SH waves. Zbl 1425.74245
Yang, Zailin; Jiang, Guanxixi; Tang, Haiyi; Sun, Baitao; Yang, Yong
2019
On high-order approximations for describing the lagging behavior of heat conduction. Zbl 1425.35191
Chiriţă, Stan
2019
Invariance in growth and mass transport. Zbl 1425.74054
2019
Connection and curvature in crystals with non-constant dislocation density. Zbl 1425.74121
Elżanowski, Marek Z.; Parry, Gareth P.
2019
Closed-form solutions of an elliptical crack subjected to coupled phonon-phason loadings in two-dimensional hexagonal quasicrystal media. Zbl 1425.74421
Li, Yuan; Fan, CuiYing; Qin, Qing-Hua; Zhao, MingHao
2019
A comprehensive study of the mathematical methods used to approximate the inverse Langevin function. Zbl 1425.41003
2019
A generalized approach to generate optimized approximations of the inverse Langevin function. Zbl 1425.41004
Morovati, Vahid; Mohammadi, Hamid; Dargazany, Roozbeh
2019
Design of periodic harmonic holes with surface tension in plane deformations. Zbl 1425.74057
Dai, Ming
2019
Study of wave propagation in a half-space in the fractional-order theory of thermoelasticity using the new Caputo definition. Zbl 1425.74237
Sherief, Hany H.; Raslan, W. E.
2019
Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time. Zbl 1425.82034
Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
2019
A microstretch description of electroelastic solids with application to plane waves. Zbl 1425.74179
Romeo, Maurizio
2019
Size-dependent Eshelby’s ellipsoidal inclusion problem based on generalized first strain gradient elasticity theory. Zbl 1425.74117
Sidhardh, Sai; Ray, M. C.
2019
Exact solutions for the bending of Timoshenko beams using Eringen’s two-phase nonlocal model. Zbl 1444.74034
Wang, Yuanbin; Huang, Kai; Zhu, Xiaowu; Lou, Zhimei
2019
Modal analysis of masonry structures. Zbl 1444.74026
Girardi, Maria; Padovani, Cristina; Pellegrini, Daniele
2019
Branching of stretch histories in biaxially loaded nonlinear viscoelastic fiber-reinforced sheets. Zbl 1457.74035
Wineman, Alan
2019
Investigation of harmonic plane waves: detailed analysis of recent thermoelastic model with single delay term. Zbl 1444.74032
Kumari, Bharti; Kumar, Anil; Mukhopadhyay, Santwana
2019
Electroelasticity of dielectric elastomers based on molecular chain statistics. Zbl 1457.74061
Itskov, Mikhail; Vu Ngoc Khiêm; Waluyo, Sugeng
2019
Analytical investigation of buckling of a cylindrical shell subjected to nonuniform external pressure. Zbl 1445.74019
Andrianov, Igor I.
2019
The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut. Zbl 1444.74045
2019
Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite. Zbl 1446.74098
Krasnitskii, Stanislav; Trofimov, Anton; Radi, Enrico; Sevestianov, Igor
2019
Indentation load-depth relation for an elastic layer with surface tension. Zbl 1444.74044
Li, Shaoheng; Yuan, Weike; Ding, Yue; Wang, Gangfeng
2019
Finite thermoelastoplasticity and creep under small elastic strains. Zbl 1445.74014
Roubíček, Tomáš; Stefanelli, Ulisse
2019
Study of the surface wave vibrations in a functionally graded material layered structure: a WKB method. Zbl 1445.74034
Gupta, Shishir; Bhengra, Neelima
2019
A Lagrangian-Hamiltonian unified formalism for a class of dissipative systems. Zbl 1446.74072
Said, Hamid
2019
Free vibrations of nonlocally elastic rods. Zbl 1440.74161
Mikhasev, G.; Avdeichik, E.; Prikazchikov, D.
2019
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#### Cited by 3,119 Authors

 62 Neff, Patrizio 52 Rajagopal, Kumbakonam Ramamani 46 Schiavone, Peter 40 Wang, Xu 37 Quintanilla de Latorre, Ramón 34 dell’Isola, Francesco 34 Placidi, Luca 32 Steigmann, David J. 31 Bustamante, Roger 29 Giorgio, Ivan 27 Saccomandi, Giuseppe 27 Steinmann, Paul 26 Madeo, Angela 26 Sofonea, Mircea 25 Ogden, Raymond William 24 Horgan, Cornelius Oliver 24 Wineman, Alan S. 23 Eremeyev, Victor A. 22 Khan, Akhtar Ali 21 Ghiba, Ionel-Dumitrel 21 Goriely, Alain 21 Mukhopadhyay, Santwana 19 Barchiesi, Emilio 19 Khludnev, Aleksandr Mikhaĭlovich 19 Murphy, Jeremiah G. 19 Turco, Emilio 17 Della Corte, Alessandro 17 Yavari, Arash 16 Han, Weimin 16 Paroni, Roberto 16 Roubíček, Tomáš 15 Bîrsan, Mircea 15 Constanda, Christian 15 Destrade, Michel 15 Fernández, Jose Ramon 15 Jadamba, Baasansuren 15 Misra, Anil 14 Dai, Hui-Hui 14 Dai, Ming 14 Merodio, Jose 14 Potapenko, Stanislav 14 Pruchnicki, Erick 13 Andreaus, Ugo A. 13 Grillo, Alfio 13 Javili, Ali 13 Málek, Josef 13 Pence, Thomas J. 13 Rizzi, Nicola Luigi 13 Sfyris, Dimitris 12 Acharya, Amit 12 Matei, Andaluzia Cristina 12 Owen, David R. 11 Batra, Romesh C. 11 Federico, Salvatore 11 Ganghoffer, Jean-François 11 Rogerson, Graham A. 11 Rosi, Giuseppe A. 11 Sama, Miguel 11 Sauer, Roger A. 11 Segev, Reuven 11 Stefanelli, Ulisse 11 Tambača, Josip 11 Tomassetti, Giuseppe 11 Truskinovsky, Lev 11 Walton, Jay R. 10 Beatty, Millard F. jun. 10 Chiriţă, Stan 10 Chudinovich, Igor Yuryevich 10 Deseri, Luca 10 Greco, Leopoldo 10 Iesan, Dorin 10 Kumar, Ajeet 10 Lurie, Sergey A. 10 Mi, Changwen 10 Shariff, M. H. B. M. 10 Van Goethem, Nicolas 9 Andrianov, Igor V. 9 Cuomo, Massimo 9 Du, Qiang 9 Golden, John Murrough 9 Migórski, Stanisław 9 Piccardo, Giuseppe 9 Seppecher, Pierre 9 Soldatos, Kostas P. 9 Tarantino, Angelo Marcello 9 Ting, Thomas C. T. 8 Ambrosi, Davide 8 Ansari, Reza 8 Braides, Andrea 8 Casey, James 8 Coman, Ciprian D. 8 d’Agostino, Marco Valerio 8 Danishevskiĭ, Vladislav Valentinovich 8 Gao, Cun-Fa 8 Gupta, Anurag P. 8 Hill, James Murray 8 Kanoria, Mridula 8 Krasucki, Françoise 8 Lazarev, Nyurgun Petrovich 8 Le Khanh Chau ...and 3,019 more Authors
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#### Cited in 243 Journals

 492 Mathematics and Mechanics of Solids 201 Journal of Elasticity 175 International Journal of Engineering Science 169 Acta Mechanica 135 ZAMP. Zeitschrift für angewandte Mathematik und Physik 114 Journal of the Mechanics and Physics of Solids 108 Continuum Mechanics and Thermodynamics 101 Computer Methods in Applied Mechanics and Engineering 88 European Journal of Mechanics. A. Solids 59 Wave Motion 49 International Journal of Solids and Structures 41 Meccanica 39 Archive for Rational Mechanics and Analysis 36 Applied Mathematical Modelling 33 Journal of Engineering Mathematics 33 Computational Mechanics 27 Journal of Mathematical Analysis and Applications 24 Archive of Applied Mechanics 23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 22 Engineering Analysis with Boundary Elements 22 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Journal of Computational and Applied Mathematics 19 Applicable Analysis 19 Computers & Mathematics with Applications 18 International Journal of Plasticity 18 Nonlinear Dynamics 18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 17 Applied Mathematics and Computation 16 Mathematical Methods in the Applied Sciences 16 SIAM Journal on Applied Mathematics 16 Nonlinear Analysis. Real World Applications 15 Quarterly of Applied Mathematics 14 Applied Mathematics Letters 14 Mathematics and Mechanics of Complex Systems 13 Journal of Computational Physics 12 Mathematical Problems in Engineering 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of Differential Equations 11 Journal of Nonlinear Science 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 International Journal for Numerical Methods in Engineering 10 International Journal of Fracture 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 AMM. Applied Mathematics and Mechanics. (English Edition) 9 Lobachevskii Journal of Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Acta Mechanica Sinica 8 Journal of Applied Mathematics and Mechanics 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 Journal of Theoretical Biology 7 Journal of Mathematical Physics 7 Calculus of Variations and Partial Differential Equations 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Mechanics Research Communications 6 Applied Mathematics and Mechanics. (English Edition) 6 Optimization 6 SIAM Journal on Mathematical Analysis 6 Communications in Nonlinear Science and Numerical Simulation 6 Archives of Computational Methods in Engineering 6 Discrete and Continuous Dynamical Systems. Series B 6 Theoretical and Applied Mechanics 5 Physica D 5 Journal of Mathematical Sciences (New York) 5 Evolution Equations and Control Theory 4 Reports on Mathematical Physics 4 Journal of Optimization Theory and Applications 4 Mathematics and Computers in Simulation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerical Functional Analysis and Optimization 4 Acta Applicandae Mathematicae 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Applications of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Linear Algebra and its Applications 4 Mediterranean Journal of Mathematics 4 Inverse Problems in Science and Engineering 4 GAMM-Mitteilungen 4 Optimization Letters 4 Networks and Heterogeneous Media 4 Mechanics of Solids 3 Mathematics of Computation 3 Numerische Mathematik 3 Journal of Integral Equations and Applications 3 Computational Mathematics and Mathematical Physics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 SIAM Journal on Scientific Computing 3 Communications in Numerical Methods in Engineering 3 Applicationes Mathematicae 3 Computational and Applied Mathematics 3 Advances in Applied Clifford Algebras 3 Journal of Vibration and Control 3 Differential Equations and Dynamical Systems 3 Multibody System Dynamics 3 Journal of Applied Mechanics and Technical Physics 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 International Journal of Computational Methods 3 Mathematical Biosciences and Engineering ...and 143 more Journals
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#### Cited in 52 Fields

 2,543 Mechanics of deformable solids (74-XX) 440 Partial differential equations (35-XX) 186 Numerical analysis (65-XX) 170 Calculus of variations and optimal control; optimization (49-XX) 143 Fluid mechanics (76-XX) 131 Biology and other natural sciences (92-XX) 104 Statistical mechanics, structure of matter (82-XX) 71 Classical thermodynamics, heat transfer (80-XX) 70 Mechanics of particles and systems (70-XX) 52 Differential geometry (53-XX) 45 Operator theory (47-XX) 39 Integral equations (45-XX) 34 Optics, electromagnetic theory (78-XX) 32 Ordinary differential equations (34-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 22 Dynamical systems and ergodic theory (37-XX) 19 Real functions (26-XX) 19 Operations research, mathematical programming (90-XX) 17 Functional analysis (46-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Functions of a complex variable (30-XX) 12 History and biography (01-XX) 12 Systems theory; control (93-XX) 9 Measure and integration (28-XX) 9 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 8 Quantum theory (81-XX) 7 Statistics (62-XX) 6 Topological groups, Lie groups (22-XX) 6 Potential theory (31-XX) 6 Special functions (33-XX) 5 Geophysics (86-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)