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: 1,504 Publications (since 1996) References Indexed: 1,278 Publications with 37,874 References.
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Authors

 32 Schiavone, Peter 24 Rajagopal, Kumbakonam Ramamani 19 Mukhopadhyay, Santwana 19 Wineman, Alan S. 18 Steigmann, David J. 16 Neff, Patrizio 16 Pruchnicki, Erick 16 Wang, Xu 15 Saccomandi, Giuseppe 14 Hill, James Murray 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 Horgan, Cornelius Oliver 8 Kaplunov, Julius D. 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 Ganghoffer, Jean-François 7 Gao, Cun-Fa 7 Grillo, Alfio 7 Mi, Changwen 7 Ru, Chong-Qing 7 Sofonea, Mircea 7 Ting, Thomas C. T. 7 Wheeler, Lewis 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 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 Kim, Chun Il 5 Kouris, Demitris A. 5 Matei, Andaluzia Cristina 5 Merodio, Jose 5 Mioduchowski, Andrew 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. ...and 1,709 more Authors
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Fields

 1,444 Mechanics of deformable solids (74-XX) 66 Partial differential equations (35-XX) 38 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 Real functions (26-XX) 9 General and overarching topics; collections (00-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

955 Publications have been cited 4,832 times in 3,221 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
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
1996
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
2011
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
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
Nonlinear viscoelastic solids – a review. Zbl 1197.74021
Wineman, A.
2009
On the Cauchy-Born rule. Zbl 1161.74305
Ericksen, J. L.
2008
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 elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
2011
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
2007
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
2002
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
2018
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
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
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
2006
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2016
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
2016
Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303
Cazacu, Oana; Barlat, Frédéric
2001
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
2002
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
1996
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
2006
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
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
2009
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
2019
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
2009
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
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
2014
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
2002
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
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
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
2010
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
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
2001
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
2003
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 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
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2017
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
2016
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
2015
A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003
2014
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
2019
A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003
Kannan, K.; Rajagopal, K. R.
2004
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
2015
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
2011
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
2001
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
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
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
2006
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
2009
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
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
On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
2017
Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. Zbl 1048.74008
Sudak, L. J.
2003
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
2004
A modified theory of magnetic effects in elastic materials. Zbl 1092.74012
Ericksen, J. L.
2006
Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306
Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C.
2008
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
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012
Hassanpour, Soroosh; Heppler, Glenn R.
2017
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
2001
Analysis of the air-damping effect on a micromachined beam resonator. Zbl 1048.74538
Zhang, Chuanli; Xu, Guanshui; Jiang, Qing
2003
Volumetric-distortional decomposition of deformation and elasticity tensor. Zbl 1257.74018
Federico, Salvatore
2010
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
Korn’s constant for a parallelepiped with a free face or pair of faces. Zbl 1001.74560
Ryzhak, E. I.
1999
Mathematical modeling of a solid-liquid mixture with mass exchange between constituents. Zbl 1143.74024
Fusi, L.; Farina, A.; Ambrosi, D.
2006
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
2010
Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114
Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin
2018
Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte
2015
Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002
Lawrie, Jane B.; Kaplunov, Julius
2012
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
2011
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
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
2017
Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039
Khludnev, Alexander M.; Shcherbakov, Viktor V.
2017
The convexity properties of a class of constitutive models of biological soft tissues. Zbl 1072.74052
Wilber, J. Patrick; Walton, Jay R.
2002
Submacroscopically stable equilibria of elastic bodies undergoing disarrangements and dissipation. Zbl 1257.74056
Deseri, Luca; Owen, David R.
2010
Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517
Hill, James M.; Arrigo, Daniel J.
1996
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
On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117
2011
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
Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure. Zbl 07357385
Temesgen, Ag; Singh, Sb; Pankaj, T.
2021
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
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. Zbl 07357391
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
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
Surface and interfacial anti-plane waves in micropolar solids with surface energy. Zbl 07357424
Chaki, Mriganka Shekhar; Eremeyev, Victor A.; Singh, Abhishek K.
2021
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
2020
Asymptotic stability for a laminated beam with structural damping and infinite memory. Zbl 07259267
Liu, Wenjun; Kong, Xiangyu; Li, Gang
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
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
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
Steady vibration problems in the coupled linear theory of porous elastic solids. Zbl 1446.74135
2020
Numerical simulations for the dynamics of flexural shells. Zbl 1446.74168
Shen, Xiaoqin; Piersanti, Luisa; Piersanti, Paolo
2020
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105
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 1482.74112
Bîrsan, Mircea
2020
Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701
Feng, Baowei; Soufyane, Abdelaziz
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
New $$\delta$$-shock waves in the $$p$$-system: a distributional product approach. Zbl 1446.74150
2020
Tykhonov well-posedness of a frictionless unilateral contact problem. Zbl 1482.74126
Liu, Zhenhai; Sofonea, Mircea; Xiao, Yi-Bin
2020
Reduced algebraic conditions for plane or axial tensorial symmetries. Zbl 1482.74050
Olive, M.; Desmorat, B.; Kolev, B.; Desmorat, R.
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
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
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
Extended granular micromechanics approach: a micromorphic theory of degree $$n$$. Zbl 1446.74104
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
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
A new Bernoulli-Euler beam model based on a reformulated strain gradient elasticity theory. Zbl 1446.74156
Zhang, Gongye; Gao, Xin-Lin
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
Riemannian and Euclidean material structures in anelasticity. Zbl 1482.74009
Sozio, Fabio; Yavari, Arash
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
A review of de Broglie particle-wave mechanical systems. Zbl 07259256
Hill, James M.
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
A modelling framework for finite strain magnetoviscoelasticity. Zbl 1446.74121
Nedjar, Boumediene
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
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
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
Plane harmonic waves in a thermoelastic solid with double porosity. Zbl 1446.74141
Singh, Dilbag; Kumar, Davinder; Tomar, S. K.
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
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
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
Shell design from planar pre-stressed structures. Zbl 1482.74113
Danescu, Alexandre; Ionescu, Ioan R.
2020
Hilbert bundles as quantum-classical continua. Zbl 07272674
Epstein, Marcelo
2020
Material distributions. Zbl 07272682
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
Geometric description of time-dependent finite-dimensional mechanical systems. Zbl 07289146
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 07289153
Zeng, Biao
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
Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
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
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
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
Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff-Love plates with a crack. Zbl 07273390
Lazarev, Nyurgun; Itou, Hiromichi
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
Generalized error-minimizing, rational inverse Langevin approximations. Zbl 1425.74083
Marchi, Benjamin C.; Arruda, Ellen M.
2019
An Euler-Bernoulli beam formulation in an ordinary state-based peridynamic framework. Zbl 1447.74025
Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
2019
Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225
Liu, Zhenhai; Sofonea, Mircea
2019
An obstacle problem for Koiter’s shells. Zbl 07273353
Ciarlet, Philippe G.; Piersanti, Paolo
2019
From non-local Eringen’s model to fractional elasticity. Zbl 1425.74093
Evgrafov, Anton; Bellido, José C.
2019
Vacancies for controlling the behavior of microstructured three-dimensional mechanical metamaterials. Zbl 1447.74034
Vangelatos, Z.; Komvopoulos, K.; Grigoropoulos, C. P.
2019
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
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
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
Branching of stretch histories in biaxially loaded nonlinear viscoelastic fiber-reinforced sheets. Zbl 1457.74035
Wineman, Alan
2019
Exact solutions for elastic response in micro- and nano-beams considering strain gradient elasticity. Zbl 1442.74106
Sidhardh, Sai; Ray, Manas C.
2019
Computation of elastic equilibria of complete Möbius bands and their stability. Zbl 1446.74154
Moore, Alexander; Healey, Timothy
2019
Axisymmetric Boussinesq problem of a transversely isotropic half-space with surface effects. Zbl 1440.74249
Shen, Jing Jin
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
An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory-dependent derivatives inside a thick plate. Zbl 07254360
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
Variational asymptotic homogenization of beam-like square lattice structures. Zbl 07273367
Barchiesi, Emilio; Khakalo, Sergei
2019
Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Zbl 07273368
Alzaidi, Ahmed S. M.; Kaplunov, Julius; Prikazchikova, Ludmila
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
Ignaczak equation of elastodynamics. Zbl 07273388
Ostoja-Starzewski, Martin
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
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
...and 855 more Documents
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Cited by 3,598 Authors

 67 Neff, Patrizio 60 Schiavone, Peter 59 Rajagopal, Kumbakonam Ramamani 50 Quintanilla de Latorre, Ramón 44 Wang, Xu 35 dell’Isola, Francesco 34 Placidi, Luca 33 Bustamante, Roger 33 Steigmann, David J. 32 Steinmann, Paul 31 Saccomandi, Giuseppe 31 Sofonea, Mircea 30 Giorgio, Ivan 28 Madeo, Angela 27 Ogden, Raymond William 26 Wineman, Alan S. 25 Mukhopadhyay, Santwana 24 Eremeyev, Victor A. 24 Fernández, Jose Ramon 24 Ghiba, Ionel-Dumitrel 24 Goriely, Alain 24 Horgan, Cornelius Oliver 24 Khan, Akhtar Ali 20 Barchiesi, Emilio 20 Khludnev, Aleksandr Mikhaĭlovich 19 Murphy, Jeremiah G. 19 Turco, Emilio 18 Han, Weimin 17 Dai, Ming 17 Della Corte, Alessandro 17 Jadamba, Baasansuren 17 Roubíček, Tomáš 17 Yavari, Arash 16 Bîrsan, Mircea 16 Javili, Ali 16 Merodio, Jose 16 Paroni, Roberto 15 Constanda, Christian 15 Destrade, Michel 15 Misra, Anil 14 Dai, Hui-Hui 14 Grillo, Alfio 14 Matei, Andaluzia Cristina 14 Pence, Thomas J. 14 Potapenko, Stanislav 14 Pruchnicki, Erick 14 Sauer, Roger A. 13 Acharya, Amit 13 Andreaus, Ugo A. 13 Federico, Salvatore 13 Málek, Josef 13 Rizzi, Nicola Luigi 13 Sama, Miguel 13 Sfyris, Dimitris 12 Bazarra, Noelia 12 Ganghoffer, Jean-François 12 Owen, David R. 12 Rosi, Giuseppe A. 12 Stefanelli, Ulisse 12 Tomassetti, Giuseppe 11 Ansari, Reza 11 Batra, Romesh C. 11 Cuomo, Massimo 11 Deseri, Luca 11 Greco, Leopoldo 11 Kumar, Ajeet 11 Lazarev, Nyurgun Petrovich 11 Mi, Changwen 11 Migórski, Stanisław 11 Rogerson, Graham A. 11 Segev, Reuven 11 Shariff, M. H. B. M. 11 Tambača, Josip 11 Truskinovsky, Lev 11 Walton, Jay R. 11 Xiao, Yibin 10 Beatty, Millard F. jun. 10 Chiriţă, Stan 10 Chudinovich, Igor Yuryevich 10 Iesan, Dorin 10 Lurie, Sergey A. 10 Ostoja-Starzewski, Martin 10 Soldatos, Kostas P. 10 Tarantino, Angelo Marcello 10 Van Goethem, Nicolas 10 Zeng, Shengda 9 Andrianov, Igor V. 9 Braides, Andrea 9 Du, Qiang 9 Gao, Cun-Fa 9 Gil, Antonio J. 9 Golden, John Murrough 9 Kovtunenko, Viktor Anatolievich 9 Kružík, Martin 9 Le Khanh Chau 9 Piccardo, Giuseppe 9 Seppecher, Pierre 9 Ting, Thomas C. T. 8 Ambrosi, Davide 8 Casey, James ...and 3,498 more Authors
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Cited in 269 Journals

 492 Mathematics and Mechanics of Solids 214 Journal of Elasticity 194 Acta Mechanica 189 International Journal of Engineering Science 152 ZAMP. Zeitschrift für angewandte Mathematik und Physik 142 Journal of the Mechanics and Physics of Solids 136 Computer Methods in Applied Mechanics and Engineering 108 Continuum Mechanics and Thermodynamics 104 European Journal of Mechanics. A. Solids 65 Wave Motion 55 Applied Mathematical Modelling 49 International Journal of Solids and Structures 48 Computational Mechanics 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 28 Journal of Mathematical Analysis and Applications 26 Engineering Analysis with Boundary Elements 24 Archive of Applied Mechanics 23 Journal of Computational and Applied Mathematics 23 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 22 Applicable Analysis 21 Nonlinear Analysis. Real World Applications 20 Computers & Mathematics with Applications 20 Applied Mathematics and Computation 18 International Journal of Plasticity 18 SIAM Journal on Applied Mathematics 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 16 AMM. Applied Mathematics and Mechanics. (English Edition) 15 Journal of Computational Physics 15 Quarterly of Applied Mathematics 15 Applied Mathematics Letters 14 Mathematics and Mechanics of Complex Systems 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 Journal of Nonlinear Science 12 Mathematical Problems in Engineering 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Communications in Nonlinear Science and Numerical Simulation 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Applied Mathematics and Mechanics 8 SIAM Journal on Mathematical Analysis 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 Journal of Theoretical Biology 7 Journal of Mathematical Physics 7 Mathematics and Computers in Simulation 7 Physica D 7 Optimization 7 Calculus of Variations and Partial Differential Equations 6 Archives of Mechanics 6 Mechanics Research Communications 6 Applied Mathematics and Mechanics. (English Edition) 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Applicandae Mathematicae 5 Asymptotic Analysis 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 Journal of Optimization Theory and Applications 4 Numerical Functional Analysis and Optimization 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 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 Applied Mathematics and 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 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 ...and 169 more Journals
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Cited in 53 Fields

 2,836 Mechanics of deformable solids (74-XX) 515 Partial differential equations (35-XX) 212 Numerical analysis (65-XX) 202 Calculus of variations and optimal control; optimization (49-XX) 184 Fluid mechanics (76-XX) 161 Biology and other natural sciences (92-XX) 119 Statistical mechanics, structure of matter (82-XX) 84 Classical thermodynamics, heat transfer (80-XX) 76 Mechanics of particles and systems (70-XX) 62 Differential geometry (53-XX) 52 Operator theory (47-XX) 41 Optics, electromagnetic theory (78-XX) 40 Integral equations (45-XX) 36 Ordinary differential equations (34-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 28 Real functions (26-XX) 27 Dynamical systems and ergodic theory (37-XX) 21 Operations research, mathematical programming (90-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Functions of a complex variable (30-XX) 18 Systems theory; control (93-XX) 17 Functional analysis (46-XX) 14 History and biography (01-XX) 11 Measure and integration (28-XX) 11 Quantum theory (81-XX) 10 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 9 Geophysics (86-XX) 8 Potential theory (31-XX) 7 Special functions (33-XX) 7 Statistics (62-XX) 6 Topological groups, Lie groups (22-XX) 5 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Information and communication theory, circuits (94-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-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 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)