Journal of the Mechanics and Physics of Solids Short Title: J. Mech. Phys. Solids Publisher: Elsevier (Pergamon), Oxford ISSN: 0022-5096 Online: http://www.sciencedirect.com/science/journal/00225096 Comments: Journal Documents Indexed: 2,809 Publications (since 1955) References Indexed: 2,758 Publications with 87,861 References. all top 5 Latest Issues 162 (2022) 160 (2022) 142 (2020) 140 (2020) 139 (2020) 138 (2020) 137 (2020) 136 (2020) 135 (2020) 134 (2020) 133 (2019) 132 (2019) 131 (2019) 130 (2019) 129 (2019) 128 (2019) 127 (2019) 126 (2019) 125 (2019) 124 (2019) 123 (2019) 122 (2019) 121 (2018) 120 (2018) 119 (2018) 118 (2018) 116 (2018) 115 (2018) 114 (2018) 113 (2018) 112 (2018) 111 (2018) 110 (2018) 107 (2017) 105 (2017) 104 (2017) 103 (2017) 102 (2017) 101 (2017) 100 (2017) 99 (2017) 98 (2017) 97 (2016) 96 (2016) 95 (2016) 94 (2016) 93 (2016) 92 (2016) 91 (2016) 90 (2016) 89 (2016) 88 (2016) 87 (2016) 86 (2016) 85 (2015) 84 (2015) 83 (2015) 79 (2015) 78 (2015) 77 (2015) 76 (2015) 75 (2015) 74 (2015) 73 (2014) 72 (2014) 71 (2014) 70 (2014) 69 (2014) 68 (2014) 67 (2014) 66 (2014) 65 (2014) 63 (2014) 62 (2014) 61, No. 12 (2013) 61, No. 11 (2013) 61, No. 10 (2013) 61, No. 8 (2013) 61, No. 6 (2013) 61, No. 5 (2013) 61, No. 4 (2013) 61, No. 3 (2013) 61, No. 2 (2013) 61, No. 1 (2013) 60, No. 12 (2012) 60, No. 11 (2012) 60, No. 10 (2012) 60, No. 9 (2012) 60, No. 6 (2012) 60, No. 4 (2012) 60, No. 3 (2012) 60, No. 2 (2012) 60, No. 1 (2012) 59, No. 12 (2011) 59, No. 11 (2011) 59, No. 10 (2011) 59, No. 9 (2011) 59, No. 8 (2011) 59, No. 7 (2011) 59, No. 6 (2011) ...and 282 more Volumes all top 5 Authors 51 Willis, John Raymond 40 Fleck, Norman A. 40 Hill, Rodney 39 Ortiz, Michael 36 Huang, Yonggang Young 36 Hutchinson, John Woodside 36 Ponte Castañeda, Pedro 34 Gao, Huajian 33 Triantafyllidis, Nicolas 31 Needleman, Alan 29 Rice, James Robert 24 Drugan, W. J. 24 Tvergaard, Viggo 23 Gurtin, Morton Edward 22 van der Giessen, Erik 21 Bigoni, Davide 20 Acharya, Amit 20 Slepyan, Leonid I. 19 McMeeking, Robert M. 19 Rosakis, Ares J. 18 Movchan, Alexander B. 17 Anand, Lallit 17 Bhattacharya, Kaushik 17 Boyce, Mary C. 16 Ramesh, K. T. 15 Benveniste, Yakov 15 Deshpande, Vikram S. 15 Freund, Lambert B. 15 Lopez-Pamies, Oscar 15 Spencer, Anthony James Merrill 14 Geers, Marc G. D. 14 Havner, Kerry S. 14 Leblond, Jean-Baptiste 14 Markenscoff, Xanthippi 14 Miehe, Christian 14 Milton, Graeme Walter 14 Parks, David M. 14 Yang, Wei 13 Bower, Allan F. 13 Conti, Sergio 13 Nemat-Nasser, Sia 13 Storåkers, Bertil 12 James, Richard D. 12 Ogden, Raymond William 12 Petryk, Henryk 11 Begley, Matthew R. 11 Evans, Anthony G. 11 Fried, Eliot 11 Hills, David A. 11 Landis, Chad M. 11 Molinari, Alain 11 Nix, William D. 11 Suquet, Pierre-Marie 11 Truskinovsky, Lev 10 Audoly, Basile 10 Ciavarella, Michele 10 Lazarus, Véronique 10 Liu, Wing Kam 10 Morland, Leslie W. 10 Ni, Luqun 10 Smyshlyaev, Valery P. 10 Steinmann, Paul 10 Wright, Thomas W. 9 Abeyaratne, Rohan C. 9 Achenbach, Jan D. 9 Dvorak, George J. 9 Hodge, Philip G. jun. 9 Kuhl, Ellen 9 Loret, Benjamin 9 Lu, Tian Jian 9 McDowell, David L. 9 Suo, Zhigang 8 Barber, James R. 8 Barnett, David M. 8 Bassani, John L. 8 Garikipati, Krishna 8 Gibiansky, Leonid V. 8 Govindjee, Sanjay 8 Jiang, Hanqing 8 Leroy, Yves M. 8 Levitas, Valery I. 8 Liu, Liping 8 Marigo, Jean-Jacques 8 Pardoen, Thomas 8 Peigney, Michaël 8 Ponter, Alan R. S. 8 Ravichandran, Guruswami 8 Thompson, John Michael T. 8 Weng, George J. 8 Zheng, Quanshui 7 Balke, Herbert 7 Berry, D. S. 7 Busso, Esteban P. 7 Ciarletta, Pasquale 7 Cowin, Stephen C. 7 Cox, Brian N. 7 Geubelle, Philippe H. 7 Goriely, Alain 7 Hashin, Zvi 7 Lipton, Robert P. ...and 2,815 more Authors all top 5 Fields 2,573 Mechanics of deformable solids (74-XX) 174 Statistical mechanics, structure of matter (82-XX) 69 Biology and other natural sciences (92-XX) 42 Fluid mechanics (76-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 16 Mechanics of particles and systems (70-XX) 13 History and biography (01-XX) 9 General and overarching topics; collections (00-XX) 9 Integral equations (45-XX) 9 Numerical analysis (65-XX) 6 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,478 Publications have been cited 39,507 times in 16,862 Documents Cited by ▼ Year ▼ A generalized dynamical theory of thermoelasticity. Zbl 0156.22702 Lord, H. W.; Shulman, Y. 802 1967 Revisiting brittle fracture as an energy minimization problem. Zbl 0966.74060 Francfort, G. A.; Marigo, J.-J. 723 1998 Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030 Silling, S. A. 699 2000 Experiments and theory in strain gradient elasticity. Zbl 1077.74517 Lam, D. C. C.; Yang, F.; Chong, A. C. M.; Wang, J.; Tong, P. 608 2003 A variational approach to the theory of the elastic behaviour of multiphase materials. Zbl 0108.36902 Hashin, Z.; Shtrikman, S. 491 1963 Elastic properties of reinforced solids: Some theoretical principles. Zbl 0114.15804 Hill, R. 489 1963 Numerical experiments in revisited brittle fracture. Zbl 0995.74057 Bourdin, B.; Francfort, G. A.; Marigo, J-J. 487 2000 Numerical simulations of fast crack growth in brittle solids. Zbl 0825.73579 Xu, X.-P.; Needleman, Alan 296 1994 Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. Zbl 0235.73002 Rice, J. R. 294 1971 Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments. Zbl 1426.74257 Amor, Hanen; Marigo, Jean-Jacques; Maurini, Corrado 292 2009 A phenomenological theory for strain gradient effects in plasticity. Zbl 0791.73029 Fleck, N. A.; Hutchinson, J. W. 272 1993 A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. Zbl 1349.74016 Lim, C. W.; Zhang, G.; Reddy, J. N. 270 2015 A microstructure-dependent Timoshenko beam model based on a modified couple stress theory. Zbl 1171.74367 Ma, H. M.; Gao, X.-L.; Reddy, J. N. 268 2008 A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Zbl 1355.74020 Arruda, Ellen M.; Boyce, Mary C. 268 1993 A reformulation of strain gradient plasticity. Zbl 1033.74006 Fleck, N. A.; Hutchinson, J. W. 264 2001 Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584 Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R. 254 1992 Indentation size effects in crystalline materials: a law for strain gradient plasticity. Zbl 0977.74557 Nix, William D.; Gao, Huajian 224 1998 Solutions for effective shear properties in three phase sphere and cylinder models. Zbl 0419.73007 Christensen, R. M.; Lo, K. H. 219 1979 Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014 Willis, J. R. 217 1977 Mechanism-based strain gradient plasticity. I: Theory. Zbl 0982.74013 Gao, H.; Huang, Y.; Nix, W. D.; Hutchinson, J. W. 207 1999 A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007 Gurtin, Morton E. 195 2002 Nonconvex energy minimization and dislocation structures in ductile single crystals. Zbl 0964.74012 Ortiz, M.; Repetto, E. A. 182 1999 A general theory of uniqueness and stability in elastic-plastic solids. Zbl 0091.40301 Hill, R. 180 1958 Continuum micro-mechanics of elastoplastic polycrystals. Zbl 0127.15302 Hill, R. 172 1965 The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052 Ponte Castañeda, P. 171 1991 Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. Zbl 1120.74718 Duan, H. L.; Wang, J.; Huang, Z. P.; Karihaloo, B. L. 164 2005 The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Zbl 0775.73218 Tvergaard, Viggo; Hutchinson, John W. 145 1992 On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021 Gurtin, Morton E. 141 2000 Acceleration waves in solids. Zbl 0111.37701 Hill, R. 141 1962 Plane strain deformation near a crack tip in a power-law hardening material. Zbl 0166.20703 Rice, J. R.; Rosengren, G. F. 141 1968 Singular behaviour at the end of a tensile crack in a hardening material. Zbl 0166.20704 Hutchinson, J. W. 140 1968 An adaptive finite element approach to atomic-scale mechanics. – The quasicontinuum method. Zbl 0982.74071 Shenoy, V. B.; Miller, R.; Tadmor, E. B.; Rodney, D.; Phillips, R.; Ortiz, M. 138 1999 A unified treatment of strain gradient plasticity. Zbl 1114.74366 Gudmundson, Peter 138 2004 Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010 Acharya, A.; Bassani, J. L. 132 2000 The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061 Ponte Castañeda, P.; Willis, J. R. 129 1995 On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030 Abeyaratne, Rohan; Knowles, James K. 127 1990 A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353 Gurtin, Morton E.; Anand, Lallit 121 2005 Microstructure-dependent couple stress theories of functionally graded beams. Zbl 1270.74114 Reddy, J. N. 116 2011 A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Zbl 1054.74704 Drugan, W. J.; Willis, J. R. 114 1996 On constitutive inequalities for simple materials. I. Zbl 0162.28702 Hill, R. 109 1968 Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Zbl 1120.74683 Dingreville, Rémi; Qu, Jianmin; Cherkaoui, Mohammed 106 2005 A variational approach to the theory of the elastic behaviour of polycrystals. Zbl 0119.40105 Hashin, Z.; Shtrikman, S. 105 1963 Bifurcation phenomena in the plane tension test. Zbl 0331.73048 Hill, R.; Hutchinson, J. W. 105 1975 Constitutive analysis of elastic-plastic crystals at arbitrary strain. Zbl 0254.73031 Hill, R.; Rice, J. R. 102 1972 Thin interphase/imperfect interface in elasticity with application to coated fiber composites. Zbl 1080.74006 Hashin, Zvi 102 2002 On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013 Cermelli, Paolo; Gurtin, Morton E. 99 2001 Strain localization in ductile single crystals. Zbl 0375.73097 Asaro, R. J.; Rice, J. R. 99 1977 An analysis of the quasicontinuum method. Zbl 1002.74008 Knap, J.; Ortiz, M. 98 2001 Mechanism-based strain gradient plasticity. II: Analysis. Zbl 0990.74016 Huang, Y.; Gao, H.; Nix, W. D.; Hutchinson, J. W. 94 2000 A theory of coupled diffusion and large deformation in polymeric gels. Zbl 1162.74313 Hong, Wei; Zhao, Xuanhe; Zhou, Jinxiong; Suo, Zhigang 91 2008 A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies. Zbl 1173.74003 Maranganti, R.; Sharma, P. 90 2007 A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals. Zbl 1005.74004 Rosakis, P.; Rosakis, A. J.; Ravichandran, G.; Hodowany, J. 89 2000 A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008 Miehe, C.; Göktepe, S.; Lulei, F. 89 2004 Growth and instability in elastic tissues. Zbl 1120.74336 Ben Amar, Martine; Goriely, Alain 88 2005 Approximate models for ductile metals containing non-spherical voids – case of axisymmetric prolate ellipsoidal cavities. Zbl 0796.73014 Gologanu, Mihai; Leblond, Jean-Baptiste; Devaux, Josette 88 1993 Laws of crack motion and phase-field models of fracture. Zbl 1421.74089 Hakim, Vincent; Karma, Alain 87 2009 On bounds for the overall elastic moduli of inhomogeneous systems. I. Zbl 0139.18701 Walpole, L. J. 86 1966 Poromechanics of freezing materials. Zbl 1120.74447 Coussy, Olivier 85 2005 A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Zbl 1120.74323 Benveniste, Y. 85 2006 On uniqueness and stability in the theory of finite elastic strain. Zbl 0080.18004 Hill, R. 85 1957 Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403 Miehe, C.; Schotte, J.; Lambrecht, M. 85 2002 On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers. Zbl 0825.73103 Wu, P. D.; van der Giessen, E. 84 1993 Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Zbl 1294.74014 Javili, A.; dell’Isola, F.; Steinmann, P. 84 2013 Multiple interacting circular nano-inhomogeneities with surface/interface effects. Zbl 1171.74398 Mogilevskaya, Sofia G.; Crouch, Steven L.; Stolarski, Henryk K. 83 2008 Elastic theory of unconstrained non-Euclidean plates. Zbl 1306.74031 Efrati, E.; Sharon, E.; Kupferman, R. 81 2009 Perspectives on biological growth and remodeling. Zbl 1270.74134 Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K. 81 2011 Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708 Ponte Castañeda, P. 80 1996 Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412 Ponte Castañeda, Pedro 80 2002 An extended model for void growth and coalescence. Zbl 1005.74059 Pardoen, T.; Hutchinson, J. W. 79 2000 The influence of plasticity on mixed mode interface toughness. Zbl 0775.73219 Tvergaard, Viggo; Hutchinson, John W. 79 1993 Crack-tip problem in non-local elasticity. Zbl 0375.73083 Eringen, A. C.; Speziale, C. G.; Kim, B. S. 77 1977 An extension of the self-consistent scheme to plastically-flowing polycrystals. Zbl 0395.73033 Berveiller, M.; Zaoui, A. 77 1978 On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065 Smyshlyaev, V. P.; Cherednichenko, K. D. 76 2000 A nonlinear field theory of deformable dielectrics. Zbl 1171.74345 Suo, Zhigang; Zhao, Xuanhe; Greene, William H. 76 2008 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012 Milton, Graeme W.; Kohn, Robert V. 74 1988 Contact of dissimilar elastic cylinders under normal and tangential loading. Zbl 0631.73097 Nowell, D.; Hills, D. A.; Sackfield, A. 73 1988 Constitutive modeling of the large strain time-dependent behavior of elastomers. Zbl 1056.74500 Bergström, J. S.; Boyce, M. C. 72 1998 Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. II: Non-uniform rate of extension. Zbl 0237.73099 Freund, L. B. 72 1972 A computational procedure for rate-independent crystal plasticity. Zbl 1054.74549 Anand, L.; Kothari, M. 71 1996 A constitutive model for ferroelectric polycrystals. Zbl 0973.74026 Huber, J. E.; Fleck, N. A.; Landis, C. M.; McMeeking, R. M. 71 1999 The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431 Weckner, Olaf; Abeyaratne, Rohan 68 2005 An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061 Arroyo, Marino; Belytschko, Ted 68 2002 Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. Zbl 1162.74354 He, X. Q.; Kitipornchai, S.; Liew, K. M. 67 2005 Overall moduli of solids with microcracks: load-induced anisotropy. Zbl 0506.73097 Horii, H.; Nemat-Nasser, S. 66 1983 Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Zbl 0821.73005 Hazanov, S.; Huet, C. 66 1994 A theory of flexoelectricity with surface effect for elastic dielectrics. Zbl 1244.78006 Shen, Shengping; Hu, Shuling 66 2010 A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Zbl 1094.74563 Koslowski, M.; Cuitiño, A. M.; Ortiz, M. 66 2002 Effective properties of the octet-truss lattice material. Zbl 1011.74056 Deshpande, V. S.; Fleck, N. A.; Ashby, M. F. 65 2001 Localized necking in thin sheets. Zbl 0328.73029 Stören, S.; Rice, J. R. 65 1975 A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046 Bhattacharya, K.; James, R. D. 64 1999 Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes. Zbl 1171.74373 Hu, Yan-Gao; Liew, K. M.; Wang, Q.; He, X. Q.; Yakobson, B. I. 64 2008 Origin of crack tip instabilities. Zbl 0878.73053 Marder, M.; Gross, Steve 64 1995 A general anisotropic yield criterion using bounds and a transformation weighting tensor. Zbl 0792.73029 Karafillis, A. P.; Boyce, M. C. 64 1993 A theory of subgrain dislocation structures. Zbl 1001.74007 Ortiz, M.; Repetto, E. A.; Stainier, L. 63 2000 Bounds for effective elastic moduli of disordered materials. Zbl 0359.73020 Kröner, E. 63 1977 On finitely strained magnetorheological elastomers. Zbl 1115.74321 Kankanala, S. V.; Triantafyllidis, N. 63 2004 On the overall elastic moduli of composite materials. Zbl 0177.53204 Walpole, L. J. 63 1969 A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530 Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E. 63 2003 A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010 Acharya, Amit 62 2001 Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009 Gurtin, Morton E.; Needleman, Alan 62 2005 A data-driven harmonic approach to constructing anisotropic damage models with a minimum number of internal variables. Zbl 1514.74014 Yvonnet, Julien; He, Qi-Chang; Li, Pengfei 1 2022 A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014 Behzadinasab, Masoud; Foster, John T. 20 2020 Anisotropic strain gradient thermoelasticity for cellular structures: plate models, homogenization and isogeometric analysis. Zbl 1481.74108 Khakalo, Sergei; Niiranen, Jarkko 14 2020 On the micromechanics of deep material networks. Zbl 1516.74006 Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas 11 2020 A coupled mass transport and deformation theory of multi-constituent tumor growth. Zbl 1477.74032 Faghihi, Danial; Feng, Xinzeng; Lima, Ernesto A. B. F.; Oden, J. Tinsley; Yankeelov, Thomas E. 6 2020 Symmetry breaking creates electro-momentum coupling in piezoelectric metamaterials. Zbl 1481.74183 Pernas-Salomón, René; Shmuel, Gal 5 2020 Wrinkling and smoothing of a soft shell. Zbl 1481.74520 Wang, Ting; Yang, Yifan; Fu, Chenbo; Liu, Fei; Wang, Kui; Xu, Fan 3 2020 Universal displacements in linear elasticity. Zbl 1484.74006 Yavari, Arash; Goodbrake, Christian; Goriely, Alain 2 2020 Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness. Zbl 1484.74057 Ye, Yang; Liu, Yang; Fu, Yibin 2 2020 Thermomechanics of material growth and remodeling in uniform bodies based on the micromorphic theory. Zbl 1516.74031 Javadi, Mohammadjavad; Epstein, Marcelo; Asghari, Mohsen 2 2020 Stress-free configurations induced by a family of locally incompatible growth functions. Zbl 1441.92006 Chen, Xiaoyi; Dai, Hui-Hui 2 2020 Asymptotic homogenization models for pantographic lattices with variable order rotational resistance at pivots. Zbl 1481.74632 Coutris, Nicole; Thompson, Lonny L.; Kosaraju, Sai 2 2020 Shear shock evolution in incompressible soft solids. Zbl 1481.74411 Chockalingam, S.; Cohen, T. 2 2020 Reinforced elastomers: homogenization, macroscopic stability and relaxation. Zbl 1509.74012 Furer, J.; Ponte Castañeda, P. 1 2020 A quasi-extremal energy principle for non-potential problems in rate-independent plasticity. Zbl 1509.74011 Petryk, H. 1 2020 Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale. Zbl 1477.74088 Starkey, Kyle; Winther, Grethe; El-Azab, Anter 1 2020 The designs and deformations of rigidly and flat-foldable quadrilateral mesh origami. Zbl 1522.70004 Feng, Fan; Dang, Xiangxin; James, Richard D.; Plucinsky, Paul 1 2020 On the optimality of the variational linear comparison bounds for porous viscoplastic materials. Zbl 1516.74017 Furer, J.; Ponte Castañeda, P. 1 2020 Chirality in the plane. Zbl 1481.74046 Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio 1 2020 Interacting charged elastic loops on a sphere. Zbl 1481.74415 Chaurasia, Vikash; Chen, Yi-Chao; Fried, Eliot 1 2020 Exploring the 3D architectures of deep material network in data-driven multiscale mechanics. Zbl 1477.74006 Liu, Zeliang; Wu, C. T. 30 2019 Continuum-kinematics-inspired peridynamics. Mechanical problems. Zbl 1479.74007 Javili, A.; McBride, A. T.; Steinmann, P. 18 2019 Micromorphic computational homogenization for mechanical metamaterials with patterning fluctuation fields. Zbl 1474.74087 Rokoš, O.; Ameen, M. M.; Peerlings, R. H. J.; Geers, M. G. D. 16 2019 Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy. Zbl 1474.74089 Li, Bin; Maurini, Corrado 16 2019 A phase-field model for fatigue crack growth. Zbl 1480.74019 Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M. 11 2019 A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures. Zbl 1474.74085 Zhu, Yichao; Li, Shaoshuai; Du, Zongliang; Liu, Chang; Guo, Xu; Zhang, Weisheng 9 2019 On a family of numerical models for couple stress based flexoelectricity for continua and beams. Zbl 1474.74070 Poya, Roman; Gil, Antonio J.; Ortigosa, Rogelio; Palma, Roberto 9 2019 Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia. Zbl 1474.74068 Nobili, Andrea; Radi, Enrico; Vellender, Adam 8 2019 Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation. Zbl 1474.74031 Liu, Hongliang; Holzapfel, Gerhard A.; Skallerud, Bjørn H.; Prot, Victorien 7 2019 Inverse design of quantum spin Hall-based phononic topological insulators. Zbl 1474.81029 Nanthakumar, S. S.; Zhuang, Xiaoying; Park, Harold S.; Nguyen, Chuong; Chen, Yanyu; Rabczuk, Timon 7 2019 Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method. Zbl 1477.74098 Li, Kewei; Holzapfel, Gerhard A. 7 2019 Continuum mechanical modeling of liquid crystal elastomers as dissipative ordered solids. Zbl 1477.76010 Zhang, Yang; Xuan, Chen; Jiang, Yuefeng; Huo, Yongzhong 7 2019 Modeling the martensite reorientation and resulting zero/negative thermal expansion of shape memory alloys. Zbl 1477.74014 Yu, Chao; Kang, Guozheng; Sun, Qingping; Fang, Daining 7 2019 Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069 Kamotski, IIia V.; Smyshlyaev, Valery P. 6 2019 Some forms and properties of models of strain-gradient plasticity. Zbl 1474.74027 Willis, J. R. 5 2019 A gradient-damage theory for fracture of quasi-brittle materials. Zbl 1467.74076 Narayan, Sooraj; Anand, Lallit 5 2019 On modeling fracture of ferritic steels due to hydrogen embrittlement. Zbl 1453.74006 Anand, Lallit; Mao, Yunwei; Talamini, Brandon 5 2019 A quasicontinuum theory for the nonlinear mechanical response of general periodic truss lattices. Zbl 1474.74038 Phlipot, Gregory P.; Kochmann, Dennis M. 4 2019 Multiscale modeling of dislocation patterns and simulation of nanoscale plasticity in body-centered cubic (BCC) single crystals. Zbl 1452.74026 Zhang, Lu-Wen; Xie, Yuxi; Lyu, Dandan; Li, Shaofan 4 2019 Granular micromechanics based continuum model for grain rotations and grain rotation waves. Zbl 1467.74010 Poorsolhjouy, Payam; Misra, Anil 4 2019 A finite strain electro-chemo-mechanical theory for ion transport with application to binary solid electrolytes. Zbl 1474.74005 Ganser, Markus; Hildebrand, Felix E.; Kamlah, Marc; McMeeking, Robert M. 3 2019 Liquid inclusions in soft materials: capillary effect, mechanical stiffening and enhanced electromechanical response. Zbl 1477.74030 Krichen, Sana; Liu, Liping; Sharma, Pradeep 3 2019 Symmetry considerations for topology design in the elastic inverse homogenization problem. Zbl 1477.74096 Podestá, J. M.; Méndez, C. M.; Toro, S.; Huespe, A. E. 3 2019 On the properties of phononic eigenvalue problems. Zbl 1479.74069 Mokhtari, Amir Ashkan; Lu, Yan; Srivastava, Ankit 3 2019 Incorporation of micro-cracking and fibre bridging mechanisms in constitutive modelling of fibre reinforced concrete. Zbl 1480.74273 Le, Linh A.; Nguyen, Giang D.; Bui, Ha H.; Sheikh, Abdul H.; Kotousov, Andrei 3 2019 Mechanobiological stability of biological soft tissues. Zbl 1474.92015 Latorre, Marcos; Humphrey, Jay D. 2 2019 Theory of dislocation loops in multilayered anisotropic solids with magneto-electro-elastic couplings. Zbl 1474.74035 Yuan, Jianghong; Huang, Yin; Chen, Weiqiu; Pan, Ernian; Kang, Guozheng 2 2019 A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: finite viscoelasticity. Zbl 1477.74013 Govindjee, Sanjay; Zoller, Miklos J.; Hackl, Klaus 2 2019 On the structure of linear dislocation field theory. Zbl 1452.74008 Acharya, A.; Knops, R. J.; Sivaloganathan, J. 2 2019 On the cofactor conditions and further conditions of supercompatibility between phases. Zbl 1453.74007 Della Porta, Francesco 2 2019 2D lattice material architectures for actuation. Zbl 1474.82006 Nelissen, W. E. D.; Ayas, C.; Tekõglu, C. 1 2019 Nonlinear thermomechanics for analysis of weak shock profile data in ductile polycrystals. Zbl 1474.74036 Clayton, J. D. 1 2019 From species diffusion to poroelasticity and the modeling of lamina cribrosa. Zbl 1474.74045 Tatone, A.; Recrosi, F.; Repetto, R.; Guidoboni, G. 1 2019 A three-dimensional misorientation axis- and inclination-dependent Kobayashi-Warren-Carter grain boundary model. Zbl 1477.74016 Admal, Nikhil Chandra; Segurado, Javier; Marian, Jaime 1 2019 A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena. Zbl 1452.74014 Roy, Pranesh; Roy, Debasish; Reddy, J. N. 1 2019 Computational investigation into the role of localisation on yield of a porous ductile solid. Zbl 1452.74035 Chouksey, Mayank; Keralavarma, Shyam M.; Basu, Sumit 1 2019 Theory of gradient-elastic membranes and its application in the wrinkling analysis of stretched thin sheets. Zbl 1480.74200 Dadgar-Rad, Farzam; Imani, Arash 1 2019 Multiscale tailoring of helical lattice systems for bespoke thermoelasticity. Zbl 1480.74044 O’Donnell, Matthew P.; Stacey, Jonathan P.; Chenchiah, Isaac V.; Pirrera, Alberto 1 2019 Dynamic enlargement of a hole in a sheet: crater formation and propagation of cylindrical shock waves. Zbl 1480.74172 Cohen, Tal 1 2019 Beyond classical thermodynamics: dislocation-mediated plasticity. Zbl 1467.74015 Berdichevsky, V. L. 1 2019 High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216 Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 40 2018 A general multiscale framework for the emergent effective elastodynamics of metamaterials. Zbl 1441.74135 Sridhar, A.; Kouznetsova, V. G.; Geers, M. G. D. 19 2018 Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis. Zbl 1441.74049 Mashayekhi, Somayeh; Miles, Paul; Hussaini, M. Yousuff; Oates, William S. 17 2018 Progressive damage and rupture in polymers. Zbl 1441.74025 Talamini, Brandon; Mao, Yunwei; Anand, Lallit 15 2018 Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation. Zbl 1445.74022 Amabili, Marco 14 2018 Porous media fracturing dynamics: stepwise crack advancement and fluid pressure oscillations. Zbl 1441.74063 Cao, Toan D.; Hussain, Fazle; Schrefler, Bernhard A. 9 2018 A coupled model of transport-reaction-mechanics with trapping. I: Small strain analysis. Zbl 1441.82025 Salvadori, A.; McMeeking, R.; Grazioli, D.; Magri, M. 7 2018 A theory for fracture of polymeric gels. Zbl 1441.74023 Mao, Yunwei; Anand, Lallit 7 2018 A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models. Zbl 1445.74007 Wang, Linjuan; Abeyaratne, Rohan 6 2018 Effect of surface tension on the behavior of adhesive contact based on Lennard-Jones potential law. Zbl 1441.74137 Zhu, Xinyao; Xu, Wei 6 2018 Contact stiffness of regularly patterned multi-asperity interfaces. Zbl 1441.74140 Li, Shen; Yao, Quanzhou; Li, Qunyang; Feng, Xi-Qiao; Gao, Huajian 6 2018 Thermodynamic dislocation theory for non-uniform plastic deformations. Zbl 1441.74039 Le, K. C. 5 2018 An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145 Conti, Sergio; Dolzmann, Georg 5 2018 Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains. Zbl 1441.74030 Basak, Anup; Levitas, Valery I. 5 2018 Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability. Zbl 1479.74060 Chakrabarti, Aditi; Mora, Serge; Richard, Franck; Phou, Ty; Fromental, Jean-Marc; Pomeau, Yves; Audoly, Basile 5 2018 Vibrations and elastic waves in chiral multi-structures. Zbl 1479.74054 Nieves, M. J.; Carta, G.; Jones, I. S.; Movchan, A. B.; Movchan, N. V. 5 2018 Level repulsion and band sorting in phononic crystals. Zbl 1441.74053 Lu, Yan; Srivastava, Ankit 4 2018 Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations. Zbl 1479.74016 Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio 4 2018 Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces. Zbl 1443.74161 Vattré, Aurelien; Pan, E. 3 2018 On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008 Zhang, Chiqun; Acharya, Amit 3 2018 Mechanics of inter-modal tunneling in nonlinear waveguides. Zbl 1441.74099 Jiao, Weijian; Gonella, Stefano 3 2018 On a consistent finite-strain plate theory of growth. Zbl 1441.74109 Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui 3 2018 Finite element approximation of the fields of bulk and interfacial line defects. Zbl 1441.74283 Zhang, Chiqun; Acharya, Amit; Puri, Saurabh 3 2018 The \(p-n\) junction under nonuniform strains: general theory and application to photovoltaics. Zbl 1442.35455 Guin, L.; Jabbour, M. E.; Triantafyllidis, N. 3 2018 Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 2 2018 Discrete shear-transformation-zone plasticity modeling of notched bars. Zbl 1441.74038 Kondori, Babak; Amine Benzerga, A.; Needleman, Alan 2 2018 A non-affine micro-macro approach to strain-crystallizing rubber-like materials. Zbl 1441.74046 Rastak, Reza; Linder, Christian 2 2018 Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries. Zbl 1441.74040 Peigney, Michaël 2 2018 Rate-independent dissipation in phase-field modelling of displacive transformations. Zbl 1441.74147 Tůma, K.; Stupkiewicz, S.; Petryk, H. 2 2018 Localization in anisotropic elastoplastic micropolar media: application to fiber reinforced composites. Zbl 1479.74008 Hasanyan, A. D.; Waas, A. M. 2 2018 Far-field resonant third harmonic surface wave on a half-space of incompressible material of cubic nonlinearity. Zbl 1445.74033 Achenbach, Jan D.; Wang, Yanzheng 1 2018 A double perturbation method of postbuckling analysis in 2D curved beams for assembly of 3D ribbon-shaped structures. Zbl 1441.74081 Fan, Zhichao; Hwang, Keh-Chih; Rogers, John A.; Huang, Yonggang; Zhang, Yihui 1 2018 The effective compliance of spatially evolving planar wing-cracks. Zbl 1441.74199 Ayyagari, R. S.; Daphalapurkar, N. P.; Ramesh, K. T. 1 2018 Emergent electromechanical coupling of electrets and some exact relations – the effective properties of soft materials with embedded external charges and dipoles. Zbl 1441.74076 Liu, Liping; Sharma, Pradeep 1 2018 Mechanics of adsorption-deformation coupling in porous media. Zbl 1441.74071 Zhang, Yida 1 2018 Near optimal pentamodes as a tool for guiding stress while minimizing compliance in \(3d\)-printed materials: a complete solution to the weak \(G\)-closure problem for \(3d\)-printed materials. Zbl 1441.74014 Milton, Graeme W.; Camar-Eddine, Mohamed 1 2018 A predictive micropolar continuum model for a novel three-dimensional chiral lattice with size effect and tension-twist coupling behavior. Zbl 1479.74025 Duan, Shengyu; Wen, Weibin; Fang, Daining 1 2018 Properties of the Eshelby tensor and existence of the equivalent ellipsoidal inclusion solution. Zbl 1479.74024 Barnett, D. M.; Cai, Wei 1 2018 A novel treatment of Greenwood-Johnson’s mechanism of transformation plasticity – case of spherical growth of nuclei of daughter-phase. Zbl 1479.74103 Majaty, Youssri El; Leblond, Jean-Baptiste; Kondo, Djimedo 1 2018 Multiphase continuum models for fiber-reinforced materials. Zbl 1479.74011 Bleyer, Jeremy 1 2018 ...and 1700 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 17,224 Authors 111 Wang, Xu 104 Steinmann, Paul 91 Schiavone, Peter 77 Ortiz, Michael 74 Liu, Wing Kam 74 Miehe, Christian 67 Rabczuk, Timon 64 Sevostianov, Igor 59 Geers, Marc G. D. 59 Wriggers, Peter 57 Fleck, Norman A. 56 Stefanelli, Ulisse 55 Neff, Patrizio 55 Ponte Castañeda, Pedro 55 Willis, John Raymond 53 Chen, Weiqiu 53 Huang, Yonggang Young 52 Conti, Sergio 52 Reddy, Junuthula Narasimha 50 Du, Qiang 49 Mukhopadhyay, Santwana 46 Acharya, Amit 46 Goriely, Alain 45 Gao, Huajian 44 Bigoni, Davide 44 Ogden, Raymond William 42 Li, Shaofan 42 Tvergaard, Viggo 40 Movchan, Alexander B. 40 Wick, Thomas 39 Belytschko, Ted Bohdan 39 Gao, Xinlin 38 Eremeyev, Victor A. 38 Gao, Cun-Fa 38 Kondo, Djimédo 37 Othman, Mohamed Ibrahim Ahmed 37 Roubíček, Tomáš 37 Truskinovsky, Lev 36 Abouelregal, Ahmed E. 36 Javili, Ali 36 Menzel, Andreas M. 36 Mishuris, Gennady S. 36 Needleman, Alan 36 Rodríguez-Ramos, Reinaldo 35 Forest, Samuel 35 Gurtin, Morton Edward 34 Ansari, Reza 34 Fish, Jacob 34 Kuhl, Ellen 34 Svendsen, Bob 33 de Lorenzis, Laura 33 Ganghoffer, Jean-François 33 He, Qichang 33 Kumar, Rajneesh 33 Mielke, Alexander 33 Triantafyllidis, Nicolas 32 Marigo, Jean-Jacques 32 Schröder, Jörg 31 Bhattacharya, Kaushik 31 Böhlke, Thomas 31 Deshpande, Vikram S. 31 Lopez-Pamies, Oscar 31 Milton, Graeme Walter 31 Sabina, Federico J. 31 Wang, Yuesheng 31 Zhang, Chuanzeng 31 Zohdi, Tarek I. 30 Horgan, Cornelius Oliver 30 Kanoria, Mridula 30 Mosler, Jörn 30 Placidi, Luca 30 Quintanilla de Latorre, Ramón 29 Lipton, Robert P. 29 Sun, WaiChing 29 Wineman, Alan S. 29 Zhang, Hongwu 28 Altenbach, Holm 28 Ghosh, Somnath 28 Hutchinson, John Woodside 28 Liew, Kim Meow 28 Reddy, B. Dayanand 28 van der Giessen, Erik 28 Weng, George J. 28 Yavari, Arash 27 Bravo-Castillero, Julián 27 de Borst, René 27 Gunzburger, Max D. 27 Guo, Xu 27 Hackl, Klaus 27 Holzapfel, Gerhard Alfred 27 Kružík, Martin 27 Madeo, Angela 27 Marotti de Sciarra, Francesco 27 Mogilevskaya, Sofia G. 27 Ortner, Christoph 27 Yvonnet, Julien 26 James, Richard D. 26 Kaliske, Michael 26 Rubin, Miles B. 26 Singh, Baljeet ...and 17,124 more Authors all top 5 Cited in 468 Journals 1,800 Journal of the Mechanics and Physics of Solids 1,696 Computer Methods in Applied Mechanics and Engineering 1,182 Acta Mechanica 1,054 European Journal of Mechanics. A. Solids 857 International Journal of Engineering Science 602 Computational Mechanics 547 International Journal of Solids and Structures 542 Mathematics and Mechanics of Solids 458 Journal of Elasticity 455 International Journal for Numerical Methods in Engineering 407 Applied Mathematical Modelling 314 Meccanica 293 Continuum Mechanics and Thermodynamics 274 International Journal of Fracture 266 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 249 ZAMP. Zeitschrift für angewandte Mathematik und Physik 235 International Journal of Plasticity 226 Engineering Analysis with Boundary Elements 203 Archive for Rational Mechanics and Analysis 195 Journal of Computational Physics 192 Archive of Applied Mechanics 164 Wave Motion 151 Acta Mechanica Sinica 143 Applied Mathematics and Mechanics. (English Edition) 132 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 119 Waves in Random and Complex Media 109 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 106 Journal of Engineering Mathematics 99 AMM. Applied Mathematics and Mechanics. (English Edition) 87 Computers & Mathematics with Applications 86 Applied Mathematics and Computation 80 Mechanics Research Communications 80 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 67 International Journal for Numerical and Analytical Methods in Geomechanics 60 Journal of Theoretical Biology 55 International Journal of Computational Methods 54 Journal of Applied Mathematics and Mechanics 53 Calculus of Variations and Partial Differential Equations 51 Mathematical Problems in Engineering 51 GAMM-Mitteilungen 50 Mathematical Methods in the Applied Sciences 49 Journal of Fluid Mechanics 47 Journal of Mathematical Analysis and Applications 47 SIAM Journal on Applied Mathematics 46 Physica D 46 Journal of Nonlinear Science 46 Communications in Nonlinear Science and Numerical Simulation 45 Multiscale Modeling & Simulation 44 Journal of Applied Mechanics and Technical Physics 44 Archives of Computational Methods in Engineering 43 Journal of Computational and Applied Mathematics 43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 39 SIAM Journal on Mathematical Analysis 39 Engineering Computations 32 Journal of Mathematical Physics 31 Ingenieur-Archiv 31 Journal of Scientific Computing 30 Structural and Multidisciplinary Optimization 30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 28 Soviet Applied Mechanics 28 International Applied Mechanics 28 Nonlinear Dynamics 28 Computational Geosciences 26 Journal of Differential Equations 26 Mathematics and Mechanics of Complex Systems 25 Discrete and Continuous Dynamical Systems. Series S 25 Mechanics of Solids 24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 Quarterly of Applied Mathematics 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Acta Mechanica Sinica. (English Edition) 22 Communications in Numerical Methods in Engineering 21 Archives of Mechanics 21 SIAM Journal on Numerical Analysis 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Communications in Computational Physics 21 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 20 Mathematical and Computer Modelling 19 Applicable Analysis 19 Journal of Optimization Theory and Applications 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 European Journal of Applied Mathematics 19 Nonlinear Analysis. Real World Applications 18 Prikladnaya Matematika i Mekhanika 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Advances in Applied Mathematics and Mechanics 17 Applied Numerical Mathematics 17 SIAM Journal on Scientific Computing 17 Discrete and Continuous Dynamical Systems. Series B 16 Computer Physics Communications 16 Science in China. Series E 16 Sādhanā 16 Theoretical and Applied Mechanics 15 Journal of Non-Equilibrium Thermodynamics 15 Journal of Vibration and Control 15 Granular Matter 14 Mathematics of Computation 14 Lobachevskii Journal of Mathematics ...and 368 more Journals all top 5 Cited in 58 Fields 15,206 Mechanics of deformable solids (74-XX) 1,508 Numerical analysis (65-XX) 1,371 Partial differential equations (35-XX) 890 Fluid mechanics (76-XX) 846 Statistical mechanics, structure of matter (82-XX) 566 Calculus of variations and optimal control; optimization (49-XX) 518 Biology and other natural sciences (92-XX) 444 Classical thermodynamics, heat transfer (80-XX) 268 Optics, electromagnetic theory (78-XX) 171 Integral equations (45-XX) 165 Mechanics of particles and systems (70-XX) 117 Geophysics (86-XX) 110 Dynamical systems and ergodic theory (37-XX) 103 Real functions (26-XX) 97 Ordinary differential equations (34-XX) 87 Computer science (68-XX) 85 Operator theory (47-XX) 80 Differential geometry (53-XX) 80 Quantum theory (81-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 60 Operations research, mathematical programming (90-XX) 54 Functions of a complex variable (30-XX) 52 Functional analysis (46-XX) 52 Probability theory and stochastic processes (60-XX) 47 Systems theory; control (93-XX) 37 Statistics (62-XX) 31 History and biography (01-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Integral transforms, operational calculus (44-XX) 29 Measure and integration (28-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Convex and discrete geometry (52-XX) 22 Approximations and expansions (41-XX) 20 General and overarching topics; collections (00-XX) 19 Potential theory (31-XX) 18 Special functions (33-XX) 17 Information and communication theory, circuits (94-XX) 11 Relativity and gravitational theory (83-XX) 10 Combinatorics (05-XX) 9 Topological groups, Lie groups (22-XX) 8 Difference and functional equations (39-XX) 8 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 5 Group theory and generalizations (20-XX) 5 Sequences, series, summability (40-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 3 Algebraic geometry (14-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year