## 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: 1,587 Publications (since 1996) References Indexed: 1,358 Publications with 41,357 References.
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### Authors

 36 Schiavone, Peter 25 Rajagopal, Kumbakonam Ramamani 20 Wineman, Alan S. 19 Mukhopadhyay, Santwana 19 Wang, Xu 18 Steigmann, David J. 17 Neff, Patrizio 16 Pruchnicki, Erick 15 Giorgio, Ivan 15 Saccomandi, Giuseppe 14 Hill, James Murray 14 Steinmann, Paul 13 dell’Isola, Francesco 13 Placidi, Luca 12 Epstein, Marcelo 12 Ericksen, Jerald Laverne 12 Iesan, Dorin 12 Ogden, Raymond William 12 Quintanilla de Latorre, Ramón 11 Constanda, Christian 11 Šilhavý, Miroslav 10 Casey, James 10 Kaplunov, Julius D. 10 Potapenko, Stanislav 9 Barchiesi, Emilio 9 Beatty, Millard F. jun. 9 Bustamante, Roger 9 Eremeyev, Victor A. 9 Goriely, Alain 9 Javili, Ali 9 Madeo, Angela 9 Murphy, Jeremiah G. 9 Segev, Reuven 9 Turco, Emilio 8 Batra, Romesh C. 8 Della Corte, Alessandro 8 Grillo, Alfio 8 Horgan, Cornelius Oliver 8 Paroni, Roberto 8 Scott, Nigel H. 8 Vigdergauz, Shmuel 7 Dai, Hui-Hui 7 Dai, Ming 7 Federico, Salvatore 7 Ganghoffer, Jean-François 7 Gao, Cun-Fa 7 Mi, Changwen 7 Ru, Chong-Qing 7 Sofonea, Mircea 7 Ting, Thomas C. T. 7 Wheeler, Lewis T. 6 Andreaus, Ugo A. 6 Buryachenko, Valeriy A. 6 Cazzani, Antonio M. 6 Chudinovich, Igor Yuryevich 6 Cleja-Țigoiu, Sanda 6 Jiang, Qing 6 Kumar, Ajeet 6 Luongo, Angelo 6 Markenscoff, Xanthippi 6 Maugin, Gérard A. 6 Ostoja-Starzewski, Martin 6 Oterkus, Erkan 6 Oterkus, Selda 6 Scerrato, Daria 6 Sfyris, Dimitris 6 Sherief, Hany H. 6 Spagnuolo, Mario 6 Tambača, Josip 6 Yavari, Arash 5 Băeşu, Eveline A. 5 Boulanger, Philippe 5 Carroll, Michael M. 5 Chatzigeorgiou, George 5 Chen, Weiqiu 5 Coman, Ciprian D. 5 Elishakoff, Isaac 5 Enakoutsa, Koffi 5 Fosdick, Roger L. 5 Ghiba, Ionel-Dumitrel 5 Kim, Chun Il 5 Kouris, Demitris A. 5 Matei, Andaluzia Cristina 5 Merodio, Jose 5 Mioduchowski, Andrew 5 Misra, Anil 5 O’Reilly, Oliver Mary 5 Papadopoulos, Panayiotis 5 Pence, Thomas J. 5 Polignone Warne, Debra 5 Rosi, Giuseppe A. 5 Warne, Paul G. 4 Agrawal, Ashutosh 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 ...and 1,830 more Authors
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### Fields

 1,526 Mechanics of deformable solids (74-XX) 66 Partial differential equations (35-XX) 41 History and biography (01-XX) 38 Biology and other natural sciences (92-XX) 34 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) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 10 General and overarching topics; collections (00-XX) 10 Real functions (26-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) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 2 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-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 Quantum theory (81-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

998 Publications have been cited 5,231 times in 3,434 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
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
2011
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
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
1996
Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591
Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano
1999
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
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
Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio
2016
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
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
2007
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
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
2018
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
2007
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
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
2008
Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610
Healey, T. J.
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
2002
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2016
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
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
2007
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
2006
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
2019
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
2016
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
2002
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
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
1996
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
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
2006
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
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
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
2014
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
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
2019
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
2011
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
1999
Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D.
1999
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
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
2002
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
2010
Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193
Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore
2015
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
2015
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
2009
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
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
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
2016
Must elastic materials be hyperelastic? Zbl 1257.74017
Carroll, M. M.
2009
On the theory of viscoelastic mixtures and stability. Zbl 1175.74028
Ieşan, D.; Nappa, L.
2008
On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
2017
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
2001
A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003
2014
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
2015
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
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
Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065
Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul
2014
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
2009
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012
Hassanpour, Soroosh; Heppler, Glenn R.
2017
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
2004
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
A characterization of internally constrained thermoelastic materials. Zbl 1001.74552
Casey, J.; Krishnaswamy, S.
1998
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
2004
Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002
Lawrie, Jane B.; Kaplunov, Julius
2012
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
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
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
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203
Khludnev, A. M.; Faella, L.; Popova, T. S.
2017
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
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
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
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
2017
A modified theory of magnetic effects in elastic materials. Zbl 1092.74012
Ericksen, J. L.
2006
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
2010
Bulging bifurcation of inflated circular cylinders of doubly fiber-reinforced hyperelastic material under axial loading and swelling. Zbl 1371.74107
Demirkoparan, Hasan; Merodio, Jose
2017
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
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
2001
Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. Zbl 1048.74008
Sudak, L. J.
2003
Nonlinear constitutive laws in viscoelasticity. Zbl 1419.74069
Drapaca, C. S.; Sivaloganathan, S.; Tenti, G.
2007
Recursive derivation of one-dimensional models from three-dimensional nonlinear elasticity. Zbl 1175.74046
Meunier, Nicolas
2008
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
2011
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
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
Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032
Bulíček, M.; Málek, J.; Süli, E.
2015
Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte
2015
Mathematical modeling of a solid-liquid mixture with mass exchange between constituents. Zbl 1143.74024
Fusi, L.; Farina, A.; Ambrosi, D.
2006
Analysis of the air-damping effect on a micromachined beam resonator. Zbl 1048.74538
Zhang, Chuanli; Xu, Guanshui; Jiang, Qing
2003
On the significance of coherent interface effects for embedded nanoparticles. Zbl 1359.74027
Mi, Changwen; Kouris, Demitris
2014
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.
2018
A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
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.
2021
Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 1486.74088
Turco, Emilio
2021
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. Zbl 1486.74112
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&rsquo;Isola, Francesco
2021
A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400
Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav
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
2021
Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure. Zbl 1486.74013
Temesgen, Ag; Singh, Sb; Pankaj, T.
2021
Ramberg-Osgood material behavior expression and large deflections of Euler beams. Zbl 07357397
Giardina, Ronald J.; Wei, Dongming
2021
Periodic tilings and auxetic deployments. Zbl 07357398
Borcea, Ciprian S.; Streinu, Ileana
2021
Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory. Zbl 07357401
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
Local gradient Bernoulli-Euler beam model for dielectrics: effect of local mass displacement on coupled fields. Zbl 07357413
Hrytsyna, Olha
2021
Surface and interfacial anti-plane waves in micropolar solids with surface energy. Zbl 07357424
Chaki, Mriganka Shekhar; Eremeyev, Victor A.; Singh, Abhishek K.
2021
Lagrangian descriptions of dissipative systems: a review. Zbl 07357428
Bersani, Alberto Maria; Caressa, Paolo
2021
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales. Zbl 07357434
Dong, Hao; Cui, Junzhi; Nie, Yufeng; Jin, Ke; Guan, Xiaofei; Yang, Zihao
2021
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 Kirchhoff plate formulation in a state-based peridynamic framework. Zbl 1446.74161
Yang, Zhenghao; Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
2020
Asymptotic stability for a laminated beam with structural damping and infinite memory. Zbl 07259267
Liu, Wenjun; Kong, Xiangyu; Li, Gang
2020
Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701
Feng, Baowei; Soufyane, Abdelaziz
2020
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
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
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105
Giorgio, Ivan
2020
Who developed the so-called Timoshenko beam theory? Zbl 1446.74003
Elishakoff, Isaac
2020
Numerical simulations for the dynamics of flexural shells. Zbl 1446.74168
Shen, Xiaoqin; Piersanti, Luisa; Piersanti, Paolo
2020
Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
2020
A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects. Zbl 07259268
Yin, Shuohui; Deng, Yang; Zhang, Gongye; Yu, Tiantang; Gu, Shuitao
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
Steady vibration problems in the coupled linear theory of porous elastic solids. Zbl 1446.74135
2020
Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory. Zbl 1482.74112
Bîrsan, Mircea
2020
Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266
Yildizdag, M. Erden; Barchiesi, Emilio; dell&rsquo;Isola, Francesco
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
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
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
Flamant solution of a half-plane with surface flexural resistibility and its applications to nanocontact mechanics. Zbl 1446.74180
Li, Xiaobao; Jiang, Lijian; Mi, Changwen
2020
Riemannian and Euclidean material structures in anelasticity. Zbl 1482.74009
Sozio, Fabio; Yavari, Arash
2020
Tykhonov well-posedness of a frictionless unilateral contact problem. Zbl 1482.74126
Liu, Zhenhai; Sofonea, Mircea; Xiao, Yi-Bin
2020
Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction. Zbl 1482.74065
Marin, Liviu
2020
Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models. Zbl 1482.74026
Forest, Samuel; Sab, Karam
2020
Reduced algebraic conditions for plane or axial tensorial symmetries. Zbl 1482.74050
Olive, M.; Desmorat, B.; Kolev, B.; Desmorat, R.
2020
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation. Zbl 1482.74008
Cichra, David; Průša, Vít
2020
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
2020
Elastoplastic deformation in an orthotropic spherical shell subjected to a temperature gradient. Zbl 1446.74169
Thakur, Pankaj; Sethi, Monika
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
A modelling framework for finite strain magnetoviscoelasticity. Zbl 1446.74121
Nedjar, Boumediene
2020
Wave motion in multi-layered transversely isotropic porous media by the method of potential functions. Zbl 1446.74144
Teymouri, Hamid; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S.
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
Flexoelectric effect induced in an anisotropic bar with cubic symmetry under torsion. Zbl 1446.74119
El Dhaba, Amr Ramadan; Gabr, M. E.
2020
Plane harmonic waves in a thermoelastic solid with double porosity. Zbl 1446.74141
Singh, Dilbag; Kumar, Davinder; Tomar, S. K.
2020
Heavily loaded line EHL contacts with thin adsorbed soft layers. Zbl 1446.74179
Kudish, Ilya I.; Pashkovski, Eugene; Volkov, Sergey S.; Vasiliev, Andrey S.; Aizikovich, Sergey M.
2020
Shell design from planar pre-stressed structures. Zbl 1482.74113
Danescu, Alexandre; Ionescu, Ioan R.
2020
Material distributions. Zbl 1487.53123
Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo
2020
Swelling and axial propagation of bulging with application to aneurysm propagation in arteries. Zbl 1482.74118
Demirkoparan, Hasan; Merodio, Jose
2020
Analysis of size dependency on love-type wave propagation in a functionally graded piezoelectric smart material. Zbl 07272698
Sharma, Vanita; Kumar, Satish
2020
On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics. Zbl 07272702
Saxena, Prashant; Sharma, Basant Lal
2020
A review of de Broglie particle-wave mechanical systems. Zbl 07259256
Hill, James M.
2020
Rigorous derivation of active plate models for thin sheets of nematic elastomers. Zbl 07259258
Agostiniani, Virginia; DeSimone, Antonio
2020
Irreducible matrix resolution for symmetry classes of elasticity tensors. Zbl 07259261
Itin, Yakov
2020
On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane. Zbl 07259264
Çömez, I.; Güler, M. A.
2020
Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft. Zbl 1446.74159
Thakur, Pankaj; Sethi, Monika
2020
The electro-mechanics of a coating/substrate system under charged spherical contact. Zbl 1446.74120
Hou, P. F.; Zhang, W. H.
2020
A note on the compatibility equations for three-dimensional axisymmetric problems. Zbl 1446.74070
Lubarda, M. V.; Lubarda, V. A.
2020
Elastic waves in a circular cylinder and cylindrical annulus for a subclass of implicit constitutive equations. Zbl 1446.74149
Magan, Avnish Bhowan; Mason, David; Harley, Charis
2020
Folding deformation modeling and simulation of 4D printed bilayer structures considering the thickness ratio. Zbl 1446.74172
Liu, Zhenyu; Liu, Han; Duan, Guifang; Tan, Jianrong
2020
Uniform stress state inside a non-elliptical inhomogeneity near an irregularly shaped hole in antiplane shear. Zbl 1446.74100
Wang, Xu; Schiavone, Peter
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 second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures. Zbl 1446.74199
Nguyen, Tuan Ha; Niiranen, Jarkko
2020
Dimensional changes during shear without normal tractions (the Poynting effect) in nonlinear viscoelastic fiber-reinforced solids. Zbl 1446.74107
Wineman, Alan
2020
Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites. Zbl 1446.74079
Buryachenko, Valeriy A.
2020
A nonlinear electro-elastic model with residual stresses and a preferred direction. Zbl 1446.74124
Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose
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 1481.74008
Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J.
2020
Surface, size and topological effects for some nematic equilibria on rectangular domains. Zbl 1481.76024
Fang, Lidong; Majumdar, Apala; Zhang, Lei
2020
Hilbert bundles as quantum-classical continua. Zbl 07272674
Epstein, Marcelo
2020
Lower bound limit and shakedown analysis of orthotropic material. Zbl 1482.74146
Qin, Fang; Zhang, Lele; Chen, Geng; Broeckmann, Christoph
2020
Geometric description of time-dependent finite-dimensional mechanical systems. Zbl 1485.70014
Eugster, Simon R.; Capobianco, Giuseppe; Winandy, Tom
2020
A nonlinear thermomechanical formulation for anisotropic volume and surface continua. Zbl 1482.74007
Ghaffari, Reza; Sauer, Roger A.
2020
Feedback control for non-stationary 3D Navier-Stokes-Voigt equations. Zbl 1485.93192
Zeng, Biao
2020
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
2019
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
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
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 obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
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
Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225
Liu, Zhenhai; Sofonea, Mircea
2019
Generalized error-minimizing, rational inverse Langevin approximations. Zbl 1425.74083
Marchi, Benjamin C.; Arruda, Ellen M.
2019
Static response of functionally graded multilayered one-dimensional quasicrystal cylindrical shells. Zbl 1425.74300
Li, Yang; Yang, Lianzhi; Zhang, Liangliang; Gao, Yang
2019
An Euler-Bernoulli beam formulation in an ordinary state-based peridynamic framework. Zbl 1447.74025
Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
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
An obstacle problem for Koiter’s shells. Zbl 07273353
Ciarlet, Philippe G.; Piersanti, Paolo
2019
Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach. Zbl 07273382
Ramírez-Torres, Ariel; Penta, Raimondo; Rodríguez-Ramos, Reinaldo; Grillo, Alfio
2019
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
2019
Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms. Zbl 07273387
Krömer, Stefan; Valdman, Jan
2019
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### Cited by 3,847 Authors

 71 Neff, Patrizio 66 Schiavone, Peter 63 Rajagopal, Kumbakonam Ramamani 54 Quintanilla de Latorre, Ramón 49 Wang, Xu 39 dell’Isola, Francesco 36 Bustamante, Roger 34 Giorgio, Ivan 34 Placidi, Luca 34 Sofonea, Mircea 33 Steigmann, David J. 33 Steinmann, Paul 31 Saccomandi, Giuseppe 30 Madeo, Angela 28 Mukhopadhyay, Santwana 27 Fernández, Jose Ramon 27 Ogden, Raymond William 27 Wineman, Alan S. 26 Eremeyev, Victor A. 26 Ghiba, Ionel-Dumitrel 25 Goriely, Alain 25 Horgan, Cornelius Oliver 25 Khan, Akhtar Ali 21 Barchiesi, Emilio 20 Khludnev, Aleksandr Mikhaĭlovich 20 Turco, Emilio 19 Han, Weimin 19 Murphy, Jeremiah G. 18 Dai, Ming 18 Jadamba, Baasansuren 18 Merodio, Jose 18 Roubíček, Tomáš 18 Yavari, Arash 17 Della Corte, Alessandro 17 Javili, Ali 17 Paroni, Roberto 16 Bîrsan, Mircea 16 Constanda, Christian 16 Misra, Anil 15 Bazarra, Noelia 15 Destrade, Michel 15 Federico, Salvatore 15 Grillo, Alfio 15 Potapenko, Stanislav 14 Andreaus, Ugo A. 14 Dai, Hui-Hui 14 Matei, Andaluzia Cristina 14 Pence, Thomas J. 14 Pruchnicki, Erick 14 Rizzi, Nicola Luigi 14 Sama, Miguel 14 Sauer, Roger A. 13 Acharya, Amit 13 Málek, Josef 13 Owen, David Roger Jones 13 Sfyris, Dimitris 13 Stefanelli, Ulisse 13 Tambača, Josip 12 Batra, Romesh C. 12 Ganghoffer, Jean-François 12 Kanoria, Mridula 12 Kumar, Ajeet 12 Mi, Changwen 12 Migórski, Stanisław 12 Rosi, Giuseppe A. 12 Tomassetti, Giuseppe 12 Zeng, Shengda 11 Ansari, Reza 11 Chudinovich, Igor Yuryevich 11 Cuomo, Massimo 11 Deseri, Luca 11 Greco, Leopoldo 11 Kovtunenko, Viktor Anatolievich 11 Lazarev, Nyurgun Petrovich 11 Rogerson, Graham A. 11 Segev, Reuven 11 Shariff, M. H. B. M. 11 Truskinovsky, Lev 11 Walton, Jay R. 11 Xiao, Yibin 10 Beatty, Millard F. jun. 10 Chiriţă, Stan 10 Hill, James Murray 10 Iesan, Dorin 10 Lurie, Sergey A. 10 Ostoja-Starzewski, Martin 10 Soldatos, Kostas P. 10 Sur, Abhik 10 Tarantino, Angelo Marcello 10 Van Goethem, Nicolas 10 Yang, Ping 9 Andrianov, Igor V. 9 Braides, Andrea 9 Coman, Ciprian D. 9 Du, Qiang 9 Elías-Zúñiga, Alex 9 Eugster, Simon R. 9 Ezzat, Magdy A. 9 Gao, Cun-Fa 9 Gil, Antonio J. ...and 3,747 more Authors
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### Cited in 280 Journals

 544 Mathematics and Mechanics of Solids 226 Journal of Elasticity 210 Acta Mechanica 194 International Journal of Engineering Science 161 ZAMP. Zeitschrift für angewandte Mathematik und Physik 147 Computer Methods in Applied Mechanics and Engineering 142 Journal of the Mechanics and Physics of Solids 115 European Journal of Mechanics. A. Solids 108 Continuum Mechanics and Thermodynamics 70 Wave Motion 55 Applied Mathematical Modelling 54 Computational Mechanics 49 International Journal of Solids and Structures 44 Journal of Engineering Mathematics 43 Meccanica 41 Archive for Rational Mechanics and Analysis 37 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 29 Journal of Mathematical Analysis and Applications 27 Applicable Analysis 27 Engineering Analysis with Boundary Elements 25 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 Journal of Computational and Applied Mathematics 24 Archive of Applied Mechanics 23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 23 Nonlinear Analysis. Real World Applications 23 Waves in Random and Complex Media 22 Computers & Mathematics with Applications 22 Applied Mathematics and Computation 21 AMM. Applied Mathematics and Mechanics. (English Edition) 20 Journal of Computational Physics 19 SIAM Journal on Applied Mathematics 18 International Journal of Plasticity 18 Nonlinear Dynamics 18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 16 Mathematical Methods in the Applied Sciences 15 Quarterly of Applied Mathematics 15 Applied Mathematics Letters 15 Journal of Nonlinear Science 14 Mathematics and Mechanics of Complex Systems 13 Communications in Nonlinear Science and Numerical Simulation 13 Discrete and Continuous Dynamical Systems. Series S 13 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 12 Journal of Differential Equations 12 Mathematical Problems in Engineering 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 International Journal for Numerical Methods in Engineering 10 Lobachevskii Journal of Mathematics 10 International Journal of Fracture 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Acta Mechanica Sinica 9 Mathematics and Computers in Simulation 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 Archives of Mechanics 8 Journal of Applied Mathematics and Mechanics 8 SIAM Journal on Mathematical Analysis 8 Journal of Theoretical Biology 7 Journal of Mathematical Physics 7 Physica D 7 Optimization 7 Calculus of Variations and Partial Differential Equations 6 Mechanics Research Communications 6 Applied Mathematics and Mechanics. (English Edition) 6 Acta Applicandae Mathematicae 6 Applications of Mathematics 6 Computational and Applied Mathematics 6 Archives of Computational Methods in Engineering 6 Discrete and Continuous Dynamical Systems. Series B 6 Theoretical and Applied Mechanics 6 Evolution Equations and Control Theory 6 Mechanics of Solids 5 Applied Mathematics and Optimization 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerical Functional Analysis and Optimization 5 Asymptotic Analysis 5 Journal of Scientific Computing 5 Journal of Mathematical Sciences (New York) 5 Mathematical Modelling and Analysis 5 Mediterranean Journal of Mathematics 5 Networks and Heterogeneous Media 4 Reports on Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Linear Algebra and its Applications 4 Applicationes Mathematicae 4 Journal of Applied Mechanics and Technical Physics 4 Boundary Value Problems 4 Inverse Problems in Science and Engineering 4 GAMM-Mitteilungen 4 Optimization Letters 4 Advances in Mathematical Physics 4 Advances in Applied Mathematics and Mechanics 4 Journal of Geometric Mechanics 3 Journal of Mathematical Biology 3 Mathematics of Computation 3 Numerische Mathematik 3 Journal of Integral Equations and Applications 3 Computational Mathematics and Mathematical Physics ...and 180 more Journals
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### Cited in 52 Fields

 3,026 Mechanics of deformable solids (74-XX) 549 Partial differential equations (35-XX) 232 Numerical analysis (65-XX) 212 Calculus of variations and optimal control; optimization (49-XX) 206 Fluid mechanics (76-XX) 170 Biology and other natural sciences (92-XX) 128 Statistical mechanics, structure of matter (82-XX) 90 Classical thermodynamics, heat transfer (80-XX) 78 Mechanics of particles and systems (70-XX) 62 Differential geometry (53-XX) 59 Optics, electromagnetic theory (78-XX) 58 Operator theory (47-XX) 41 Integral equations (45-XX) 40 Ordinary differential equations (34-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 29 Real functions (26-XX) 26 Dynamical systems and ergodic theory (37-XX) 22 Systems theory; control (93-XX) 21 Operations research, mathematical programming (90-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Functions of a complex variable (30-XX) 17 Functional analysis (46-XX) 15 History and biography (01-XX) 12 Probability theory and stochastic processes (60-XX) 12 Quantum theory (81-XX) 11 Measure and integration (28-XX) 10 Potential theory (31-XX) 10 Geophysics (86-XX) 9 General and overarching topics; collections (00-XX) 8 Topological groups, Lie groups (22-XX) 7 Special functions (33-XX) 7 Statistics (62-XX) 6 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 4 Approximations and expansions (41-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-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)