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. all top 5 Latest Issues 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 12 (2020) 25, No. 11 (2020) 25, No. 10 (2020) 25, No. 9 (2020) 25, No. 8 (2020) 25, No. 7 (2020) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 12 (2019) 24, No. 11 (2019) 24, No. 10 (2019) 24, No. 9 (2019) 24, No. 8 (2019) 24, No. 7 (2019) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 12 (2018) 23, No. 11 (2018) 23, No. 10 (2018) 23, No. 9 (2018) 23, No. 8 (2018) 23, No. 7 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 12 (2017) 22, No. 11 (2017) 22, No. 10 (2017) 22, No. 9 (2017) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 10 (2016) 21, No. 9 (2016) 21, No. 8 (2016) 21, No. 7 (2016) 21, No. 6 (2016) 21, No. 5 (2016) 21, No. 4 (2016) 21, No. 3 (2016) 21, No. 2 (2016) 21, No. 1 (2016) 20, No. 10 (2015) 20, No. 9 (2015) 20, No. 8 (2015) 20, No. 7 (2015) 20, No. 6 (2015) 20, No. 5 (2015) 20, No. 4 (2015) 20, No. 3 (2015) 20, No. 2 (2015) 20, No. 1 (2015) 19, No. 8 (2014) 19, No. 7 (2014) 19, No. 6 (2014) 19, No. 5 (2014) 19, No. 4 (2014) 19, No. 3 (2014) 19, No. 2 (2014) 19, No. 1 (2014) 18, No. 8 (2013) 18, No. 7 (2013) 18, No. 6 (2013) 18, No. 5 (2013) 18, No. 4 (2013) 18, No. 3 (2013) 18, No. 2 (2013) 18, No. 1 (2013) 17, No. 8 (2012) 17, No. 7 (2012) 17, No. 6 (2012) 17, No. 5 (2012) 17, No. 4 (2012) 17, No. 3 (2012) 17, No. 2 (2012) 17, No. 1 (2012) 16, No. 8 (2011) 16, No. 7 (2011) ...and 88 more Volumes all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1039.74028Alibert, Jean-Jacques; Seppecher, Pierre; Dell’Isola, Francesco 130 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 1330.74006dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca 93 2015 Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G. 59 2015 Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela 55 2014 Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano 53 1999 On the elliptic inclusion in anti-plane shear. Zbl 1001.74509Ru, Chong-Qing; Schiavone, Peter 52 1996 Conspectus of concepts of elasticity. Zbl 1269.74014Rajagopal, K. R. 52 2011 Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009Jeong, Jena; Neff, Patrizio 46 2010 Isogeometric analysis of plane-curved beams. Zbl 1370.74084Cazzani, Antonio; Malagù, Marcello; Turco, Emilio 44 2016 Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio 38 2016 An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021Gockenbach, Mark S.; Khan, Akhtar A. 37 2007 Higher-gradient continua: the legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives. Zbl 1371.74024Dell’isola, Francesco; Della Corte, Alessandro; Giorgio, Ivan 37 2017 Nonlinear viscoelastic solids – a review. Zbl 1197.74021Wineman, A. 36 2009 On the Cauchy-Born rule. Zbl 1161.74305Ericksen, J. L. 35 2008 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013Emmrich, Etienne; Weckner, Olaf 34 2007 Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026Rajagopal, K. R. 32 2011 Stress-modulated growth. Zbl 1149.74040Ambrosi, D.; Guana, F. 31 2007 Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004Braides, Andrea; Gelli, Maria Stella 30 2002 Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158Han, Weimin 30 2018 Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610Healey, T. J. 29 2002 On the evolution of plasticity and incompatibility. Zbl 1133.74009Gupta, Anurag; Steigmann, David J.; Stölken, James S. 29 2007 A complete dynamic approach to the generalized beam theory cross-section analysis including extension and shear modes. Zbl 1299.74109Piccardo, Giuseppe; Ranzi, Gianluca; Luongo, Angelo 28 2014 A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022Bustamante, R.; Rajagopal, K. R. 28 2010 On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033Bustamante, R.; Dorfmann, A.; Ogden, R. W. 28 2008 A rate-independent approach to the delamination problem. Zbl 1133.74038Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš 28 2006 Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003Eremeyev, Victor A.; Pietraszkiewicz, Wojciech 26 2016 A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007AminPour, H.; Rizzi, N. 25 2016 Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303Cazacu, Oana; Barlat, Frédéric 24 2001 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012Horgan, Cornelius O.; Saccomandi, Giuseppe 24 2002 Positive definiteness of anisotropic elastic constants. Zbl 1001.74511Ting, T. C. T. 24 1996 Theory of linearly elastic residually stressed plates. Zbl 1093.74039Paroni, Roberto 23 2006 The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe 23 2015 On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019Holzapfel, Gerhard A.; Ogden, Ray W. 22 2009 Mechanical metamaterials: a state of the art. Zbl 1425.74036Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca 22 2019 On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052Steigmann, David J. 20 2009 Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J. 20 2008 The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515Chadwick, P. 20 1997 Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060Bîrsan, Mircea; Neff, Patrizio 20 2014 Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006Saccomandi, Giuseppe; Beatty, Millard F. 19 2002 On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015Beatty, Millard F. 19 2008 Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105Placidi, Luca; El Dhaba, Amr Ramadan 19 2017 Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464Dai, Hui-Hui; Fan, Xiaojun 18 2004 Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023Ebobisse, François; Neff, Patrizio 18 2010 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 18 1999 Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore 18 2015 A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne 17 2001 Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012Steigmann, David J. 17 2003 Must elastic materials be hyperelastic? Zbl 1257.74017Carroll, M. M. 17 2009 On the theory of viscoelastic mixtures and stability. Zbl 1175.74028Ieşan, D.; Nappa, L. 17 2008 On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588Steigmann, D. J. 17 1999 An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048Gockenbach, Mark S.; Khan, Akhtar A. 17 2009 A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale. Zbl 1197.74010Sendova, T.; Walton, J. R. 17 2010 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 17 2017 Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro 16 2016 A two-dimensional peridynamic model for thin plates. Zbl 1330.74111Taylor, Michael; Steigmann, David J. 16 2015 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003Aguiar, Adair R.; Fosdick, Roger 16 2014 Peridynamics review. Zbl 07273389Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda 15 2019 Moore-Gibson-Thompson thermoelasticity. Zbl 07273404Quintanilla, Ramón 15 2019 A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003Kannan, K.; Rajagopal, K. R. 15 2004 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100Khludnev, A. M.; Leugering, G. R. 15 2015 On fractional thermoelasticity. Zbl 1269.74055El-Karamany, Ahmed S.; Ezzat, Magdy A. 15 2011 Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023Horgan, C. O.; Quintanilla, R. 14 2001 Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025Mielke, Alexander 14 2004 Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007Steigmann, David J. 14 2002 A characterization of internally constrained thermoelastic materials. Zbl 1001.74552Casey, J.; Krishnaswamy, S. 14 1998 Swelling-induced cavitation of elastic spheres. Zbl 1141.74014Pence, Thomas J.; Tsai, Hungyu 14 2006 Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031Magaña, A.; Quintanilla, R. 14 2009 Variational formulations, model comparisons and numerical methods for Euler-Bernoulli micro- and nano-beam models. Zbl 1425.74264Niiranen, J.; Balobanov, V.; Kiendl, J.; Hosseini, SB 14 2019 Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 14 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 1370.74007Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria 14 2017 Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203Khludnev, A. M.; Faella, L.; Popova, T. S. 14 2017 On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002Sadik, Souhayl; Yavari, Arash 14 2017 Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. Zbl 1048.74008Sudak, L. J. 13 2003 Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026Lopez-Pamies, O.; Ponte Castañeda, P. 13 2004 A modified theory of magnetic effects in elastic materials. Zbl 1092.74012Ericksen, J. L. 13 2006 Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C. 13 2008 Analytical solution for a pressurized thick-walled spherical shell based on a simplified strain gradient elasticity theory. Zbl 1197.74068Gao, X.-L.; Park, S. K.; Ma, H. M. 13 2009 Uniform strain fields inside multiple inclusions in an elastic infinite plane under anti-plane shear. Zbl 1371.74027Dai, Ming; Ru, C. Q.; Gao, Cun-Fa 13 2017 Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012Hassanpour, Soroosh; Heppler, Glenn R. 13 2017 Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J. 12 2001 Analysis of the air-damping effect on a micromachined beam resonator. Zbl 1048.74538Zhang, Chuanli; Xu, Guanshui; Jiang, Qing 12 2003 Volumetric-distortional decomposition of deformation and elasticity tensor. Zbl 1257.74018Federico, Salvatore 12 2010 Nonlinear constitutive laws in viscoelasticity. Zbl 1419.74069Drapaca, C. S.; Sivaloganathan, S.; Tenti, G. 12 2007 Recursive derivation of one-dimensional models from three-dimensional nonlinear elasticity. Zbl 1175.74046Meunier, Nicolas 12 2008 Korn’s constant for a parallelepiped with a free face or pair of faces. Zbl 1001.74560Ryzhak, E. I. 12 1999 Mathematical modeling of a solid-liquid mixture with mass exchange between constituents. Zbl 1143.74024Fusi, L.; Farina, A.; Ambrosi, D. 12 2006 A Galerkin method for Biot consolidation model. Zbl 1197.74183Owczarek, Sebastian 12 2010 Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin 12 2018 Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte 12 2015 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002Lawrie, Jane B.; Kaplunov, Julius 12 2012 Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169Krejčí, Pavel; Stefanelli, Ulisse 12 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 1371.74003Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo 12 2017 On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069Sauer, Roger A.; Duong, Thang X. 12 2017 Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039Khludnev, Alexander M.; Shcherbakov, Viktor V. 11 2017 The convexity properties of a class of constitutive models of biological soft tissues. Zbl 1072.74052Wilber, J. Patrick; Walton, Jay R. 11 2002 Submacroscopically stable equilibria of elastic bodies undergoing disarrangements and dissipation. Zbl 1257.74056Deseri, Luca; Owen, David R. 11 2010 Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517Hill, James M.; Arrigo, Daniel J. 11 1996 Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Zbl 1327.74080Bustamante, R.; Sfyris, D. 11 2015 The linear elasticity tensor of incompressible materials. Zbl 1327.74024Federico, Salvatore; Grillo, Alfio; Imatani, Shoji 11 2015 On magneto-acoustic waves in finitely deformed elastic solids. Zbl 1269.74117Destrade, Michel; Ogden, Raymond W. 11 2011 A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403Jangid, Komal; Mukhopadhyay, Santwana 3 2021 Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca 3 2021 Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure. Zbl 07357385Temesgen, Ag; Singh, Sb; Pankaj, T. 1 2021 Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 07357386Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. 1 2021 Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 07357389Turco, Emilio 1 2021 The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. Zbl 07357391Javanbakht, Mahdi; Ghaedi, Mohammad Sadegh; Barchiesi, Emilio; Ciallella, Alessandro 1 2021 Ramberg-Osgood material behavior expression and large deflections of Euler beams. Zbl 07357397Giardina, Ronald J.; Wei, Dongming 1 2021 Periodic tilings and auxetic deployments. Zbl 07357398Borcea, Ciprian S.; Streinu, Ileana 1 2021 Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. Zbl 07357405Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. 1 2021 Surface and interfacial anti-plane waves in micropolar solids with surface energy. Zbl 07357424Chaki, Mriganka Shekhar; Eremeyev, Victor A.; Singh, Abhishek K. 1 2021 Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257Misra, Anil; Poorsolhjouy, Payam 6 2020 Asymptotic stability for a laminated beam with structural damping and infinite memory. Zbl 07259267Liu, Wenjun; Kong, Xiangyu; Li, Gang 6 2020 A Kirchhoff plate formulation in a state-based peridynamic framework. Zbl 1446.74161Yang, Zhenghao; Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda 6 2020 Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann-Ogden surface model. Zbl 07259263Ban, Youxue; Mi, Changwen 5 2020 Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius 5 2020 Who developed the so-called Timoshenko beam theory? Zbl 1446.74003Elishakoff, Isaac 5 2020 Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. Zbl 1446.74171Barchiesi, Emilio; Eugster, Simon R.; dell’isola, Francesco; Hild, François 5 2020 Steady vibration problems in the coupled linear theory of porous elastic solids. Zbl 1446.74135Svanadze, Merab 4 2020 Numerical simulations for the dynamics of flexural shells. Zbl 1446.74168Shen, Xiaoqin; Piersanti, Luisa; Piersanti, Paolo 4 2020 A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105Giorgio, Ivan 4 2020 Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory. Zbl 1482.74112Bîrsan, Mircea 4 2020 Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701Feng, Baowei; Soufyane, Abdelaziz 4 2020 A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Zbl 1446.74093Ebobisse, François; Neff, Patrizio 3 2020 An existence and uniqueness theorem for the dynamics of flexural shells. Zbl 1446.74167Piersanti, Paolo 3 2020 New \(\delta\)-shock waves in the \(p\)-system: a distributional product approach. Zbl 1446.74150Paiva, Adelino 3 2020 Tykhonov well-posedness of a frictionless unilateral contact problem. Zbl 1482.74126Liu, Zhenhai; Sofonea, Mircea; Xiao, Yi-Bin 3 2020 Reduced algebraic conditions for plane or axial tensorial symmetries. Zbl 1482.74050Olive, M.; Desmorat, B.; Kolev, B.; Desmorat, R. 3 2020 Likely striping in stochastic nematic elastomers. Zbl 07259260Mihai, L. Angela; Goriely, Alain 2 2020 Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco 2 2020 A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects. Zbl 07259268Yin, Shuohui; Deng, Yang; Zhang, Gongye; Yu, Tiantang; Gu, Shuitao 2 2020 Elastoplastic deformation in an orthotropic spherical shell subjected to a temperature gradient. Zbl 1446.74169Thakur, Pankaj; Sethi, Monika 2 2020 On the dependence of standard and gradient elastic material constants on a field of defects. Zbl 1446.74090Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca 2 2020 On the peridynamic formulation for an orthotropic Mindlin plate under bending. Zbl 1446.74162Yolum, Ugur; Güler, M. A. 2 2020 Extended granular micromechanics approach: a micromorphic theory of degree \(n\). Zbl 1446.74104Nejadsadeghi, Nima; Misra, Anil 2 2020 Wave motion in multi-layered transversely isotropic porous media by the method of potential functions. Zbl 1446.74144Teymouri, Hamid; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S. 2 2020 A circular Eshelby inclusion interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses. Zbl 1446.74101Wang, Xu; Yang, Ping; Schiavone, Peter 2 2020 A new Bernoulli-Euler beam model based on a reformulated strain gradient elasticity theory. Zbl 1446.74156Zhang, Gongye; Gao, Xin-Lin 2 2020 Equilibrium paths of a three-bar truss in finite elasticity with an application to graphene. Zbl 1446.74155Pelliciari, Matteo; Tarantino, Angelo Marcello 2 2020 Riemannian and Euclidean material structures in anelasticity. Zbl 1482.74009Sozio, Fabio; Yavari, Arash 2 2020 Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction. Zbl 1482.74065Marin, Liviu 2 2020 Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models. Zbl 1482.74026Forest, Samuel; Sab, Karam 2 2020 A review of de Broglie particle-wave mechanical systems. Zbl 07259256Hill, James M. 1 2020 Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft. Zbl 1446.74159Thakur, Pankaj; Sethi, Monika 1 2020 The electro-mechanics of a coating/substrate system under charged spherical contact. Zbl 1446.74120Hou, P. F.; Zhang, W. H. 1 2020 A note on the compatibility equations for three-dimensional axisymmetric problems. Zbl 1446.74070Lubarda, M. V.; Lubarda, V. A. 1 2020 A modelling framework for finite strain magnetoviscoelasticity. Zbl 1446.74121Nedjar, Boumediene 1 2020 Dispersion characteristics of periodic structural systems using higher order beam element dynamics. Zbl 1446.74130Ayad, M.; Karathanasopoulos, N.; Reda, H.; Ganghoffer, J. F.; Lakiss, H. 1 2020 A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures. Zbl 1446.74199Nguyen, Tuan Ha; Niiranen, Jarkko 1 2020 Dimensional changes during shear without normal tractions (the Poynting effect) in nonlinear viscoelastic fiber-reinforced solids. Zbl 1446.74107Wineman, Alan 1 2020 Flamant solution of a half-plane with surface flexural resistibility and its applications to nanocontact mechanics. Zbl 1446.74180Li, Xiaobao; Jiang, Lijian; Mi, Changwen 1 2020 A nonlinear electro-elastic model with residual stresses and a preferred direction. Zbl 1446.74124Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose 1 2020 Plane harmonic waves in a thermoelastic solid with double porosity. Zbl 1446.74141Singh, Dilbag; Kumar, Davinder; Tomar, S. K. 1 2020 Linear theory for the mechanics of third-gradient continua reinforced with fibers resistance to flexure. Zbl 1446.74078Bolouri, Seyed Ehsan Seyed; Kim, Chun I. L.; Yang, Seunghwa 1 2020 Heavily loaded line EHL contacts with thin adsorbed soft layers. Zbl 1446.74179Kudish, Ilya I.; Pashkovski, Eugene; Volkov, Sergey S.; Vasiliev, Andrey S.; Aizikovich, Sergey M. 1 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 1481.74008Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J. 1 2020 Surface, size and topological effects for some nematic equilibria on rectangular domains. Zbl 1481.76024Fang, Lidong; Majumdar, Apala; Zhang, Lei 1 2020 Shell design from planar pre-stressed structures. Zbl 1482.74113Danescu, Alexandre; Ionescu, Ioan R. 1 2020 Hilbert bundles as quantum-classical continua. Zbl 07272674Epstein, Marcelo 1 2020 Material distributions. Zbl 07272682Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo 1 2020 Swelling and axial propagation of bulging with application to aneurysm propagation in arteries. Zbl 1482.74118Demirkoparan, Hasan; Merodio, Jose 1 2020 Analysis of size dependency on love-type wave propagation in a functionally graded piezoelectric smart material. Zbl 07272698Sharma, Vanita; Kumar, Satish 1 2020 Geometric description of time-dependent finite-dimensional mechanical systems. Zbl 07289146Eugster, Simon R.; Capobianco, Giuseppe; Winandy, Tom 1 2020 A nonlinear thermomechanical formulation for anisotropic volume and surface continua. Zbl 1482.74007Ghaffari, Reza; Sauer, Roger A. 1 2020 Feedback control for non-stationary 3D Navier-Stokes-Voigt equations. Zbl 07289153Zeng, Biao 1 2020 A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation. Zbl 1482.74008Cichra, David; Průša, Vít 1 2020 Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio 1 2020 Mechanical metamaterials: a state of the art. 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Zbl 1425.74218Alves, Margareth S.; Ferreira, Marcio V.; Muñoz Rivera, Jaime E.; Vera Villagrán, O. 3 2019 ...and 855 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year