# zbMATH — the first resource for mathematics

## 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
 Documents Indexed: 2,648 Publications (since 1955) References Indexed: 2,598 Publications with 79,509 References.
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#### Latest Issues

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#### Authors

 49 Willis, John Raymond 40 Fleck, Norman A. 40 Hill, Rodney 36 Huang, Yonggang Young 36 Hutchinson, John Woodside 36 Ortiz, Michael 34 Gao, Huajian 32 Ponte Castañeda, Pedro 32 Triantafyllidis, Nicolas 31 Needleman, Alan 29 Rice, James Robert 24 Tvergaard, Viggo 22 Drugan, W. J. 22 Gurtin, Morton Edward 22 van der Giessen, Erik 20 Slepyan, Leonid I. 19 Rosakis, Ares J. 18 Acharya, Amit 18 Bigoni, Davide 17 Boyce, Mary C. 17 Movchan, Alexander B. 16 Anand, Lallit 16 Bhattacharya, Kaushik 16 McMeeking, Robert M. 15 Benveniste, Yakov 15 Deshpande, Vikram S. 15 Freund, Lambert B. 15 Lopez-Pamies, Oscar 15 Spencer, Anthony James Merrill 14 Havner, Kerry S. 14 Hwang, Keum Cheol 14 Miehe, Christian 14 Milton, Graeme Walter 14 Ramesh, K. T. 13 Bower, Allan F. 13 Nemat-Nasser, Sia 13 Parks, David M. 13 Storåkers, Bertil 12 Geers, Marc G. D. 12 Leblond, Jean-Baptiste 12 Ogden, Raymond William 11 Evans, Anthony G. 11 Hills, David A. 11 Markenscoff, Xanthippi 11 Nix, William D. 11 Petryk, Henryk 11 Truskinovsky, Lev 10 Ciavarella, Michele 10 Fried, Eliot 10 James, Richard D. 10 Liu, Wing Kam 10 Molinari, Alain 10 Morland, Leslie W. 10 Suquet, Pierre-Marie 10 Wright, Thomas W. 9 Achenbach, Jan D. 9 Audoly, Basile 9 Begley, Matthew R. 9 Conti, Sergio 9 Dvorak, George J. 9 Hodge, Philip G. jun. 9 Landis, Chad M. 9 Lazarus, Véronique 9 Loret, Benjamin 9 McDowell, David L. 9 Smyshlyaev, Valery P. 8 Abeyaratne, Rohan C. 8 Bassani, John L. 8 Curtin, William A. 8 Garikipati, Krishna 8 Gibiansky, Leonid V. 8 Jiang, Hanqing 8 Kuhl, Ellen 8 Leroy, Yves M. 8 Marigo, Jean-Jacques 8 Ni, Luqun 8 Pardoen, Thomas 8 Peigney, Michaël 8 Ponter, Alan R. S. 8 Ravichandran, Guruswami 8 Thompson, John Michael T. 8 Weng, George J. 7 Barnett, David M. 7 Berry, D. S. 7 Busso, Esteban P. 7 Ciarletta, Pasquale 7 Cowin, Stephen C. 7 Cox, Brian N. 7 Geubelle, Philippe H. 7 Govindjee, Sanjay 7 Hashin, Zvi 7 Levitas, Valery I. 7 Lipton, Robert P. 7 Luciano, Raimondo 7 Onck, Patrick R. 7 Steinmann, Paul 7 Suo, Zhigang 7 Walpole, L. J. 7 Zheng, Quanshui 6 Abraham, Farid Fadlow ...and 2,533 more Authors
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#### Fields

 2,417 Mechanics of deformable solids (74-XX) 165 Statistical mechanics, structure of matter (82-XX) 62 Biology and other natural sciences (92-XX) 37 Fluid mechanics (76-XX) 30 Classical thermodynamics, heat transfer (80-XX) 28 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 16 Optics, electromagnetic theory (78-XX) 14 Mechanics of particles and systems (70-XX) 11 History and biography (01-XX) 9 Integral equations (45-XX) 9 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Geophysics (86-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 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 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

2,290 Publications have been cited 31,629 times in 13,514 Documents Cited by Year
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1967
Revisiting brittle fracture as an energy minimization problem. Zbl 0966.74060
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1998
Experiments and theory in strain gradient elasticity. Zbl 1077.74517
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2003
A variational approach to the theory of the elastic behaviour of multiphase materials. Zbl 0108.36902
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Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030
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2000
Elastic properties of reinforced solids: Some theoretical principles. Zbl 0114.15804
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Numerical experiments in revisited brittle fracture. Zbl 0995.74057
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Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. Zbl 0235.73002
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1971
Numerical simulations of fast crack growth in brittle solids. Zbl 0825.73579
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1994
A reformulation of strain gradient plasticity. Zbl 1033.74006
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2001
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
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1992
A phenomenological theory for strain gradient effects in plasticity. Zbl 0791.73029
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1993
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.
2008
A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Zbl 1355.74020
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1993
Indentation size effects in crystalline materials: a law for strain gradient plasticity. Zbl 0977.74557
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1998
Solutions for effective shear properties in three phase sphere and cylinder models. Zbl 0419.73007
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1979
Mechanism-based strain gradient plasticity. I: Theory. Zbl 0982.74013
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1999
Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014
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1977
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
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2002
A general theory of uniqueness and stability in elastic-plastic solids. Zbl 0091.40301
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1958
Continuum micro-mechanics of elastoplastic polycrystals. Zbl 0127.15302
Hill, R.
1965
Nonconvex energy minimization and dislocation structures in ductile single crystals. Zbl 0964.74012
Ortiz, M.; Repetto, E. A.
1999
The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052
Ponte Castañeda, P.
1991
Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments. Zbl 1426.74257
Amor, Hanen; Marigo, Jean-Jacques; Maurini, Corrado
2009
Acceleration waves in solids. Zbl 0111.37701
Hill, R.
1962
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.
2005
The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Zbl 0775.73218
Tvergaard, Viggo; Hutchinson, John W.
1992
Plane strain deformation near a crack tip in a power-law hardening material. Zbl 0166.20703
Rice, J. R.; Rosengren, G. F.
1968
Singular behaviour at the end of a tensile crack in a hardening material. Zbl 0166.20704
Hutchinson, J. W.
1968
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
2000
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.
1999
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.
2015
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
Acharya, A.; Bassani, J. L.
2000
A unified treatment of strain gradient plasticity. Zbl 1114.74366
Gudmundson, Peter
2004
On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030
Abeyaratne, Rohan; Knowles, James K.
1990
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
1995
Bifurcation phenomena in the plane tension test. Zbl 0331.73048
Hill, R.; Hutchinson, J. W.
1975
On constitutive inequalities for simple materials. I. Zbl 0162.28702
Hill, R.
1968
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
2005
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
2005
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.
1996
Microstructure-dependent couple stress theories of functionally graded beams. Zbl 1270.74114
Reddy, J. N.
2011
Constitutive analysis of elastic-plastic crystals at arbitrary strain. Zbl 0254.73031
Hill, R.; Rice, J. R.
1972
A variational approach to the theory of the elastic behaviour of polycrystals. Zbl 0119.40105
Hashin, Z.; Shtrikman, S.
1963
Strain localization in ductile single crystals. Zbl 0375.73097
Asaro, R. J.; Rice, J. R.
1977
Mechanism-based strain gradient plasticity. II: Analysis. Zbl 0990.74016
Huang, Y.; Gao, H.; Nix, W. D.; Hutchinson, J. W.
2000
Thin interphase/imperfect interface in elasticity with application to coated fiber composites. Zbl 1080.74006
Hashin, Zvi
2002
An analysis of the quasicontinuum method. Zbl 1002.74008
Knap, J.; Ortiz, M.
2001
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
2001
On uniqueness and stability in the theory of finite elastic strain. Zbl 0080.18004
Hill, R.
1957
An extended model for void growth and coalescence. Zbl 1005.74059
Pardoen, T.; Hutchinson, J. W.
2000
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.
1993
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.
2004
The influence of plasticity on mixed mode interface toughness. Zbl 0775.73219
Tvergaard, Viggo; Hutchinson, John W.
1993
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
Ponte Castañeda, P.
1996
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.
2007
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
Ponte Castañeda, Pedro
2002
A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Zbl 1120.74323
Benveniste, Y.
2006
An extension of the self-consistent scheme to plastically-flowing polycrystals. Zbl 0395.73033
Berveiller, M.; Zaoui, A.
1978
On bounds for the overall elastic moduli of inhomogeneous systems. I. Zbl 0139.18701
Walpole, L. J.
1966
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
Arroyo, Marino; Belytschko, Ted
2002
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
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
1993
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.
2002
Contact of dissimilar elastic cylinders under normal and tangential loading. Zbl 0631.73097
Nowell, D.; Hills, D. A.; Sackfield, A.
1988
Multiple interacting circular nano-inhomogeneities with surface/interface effects. Zbl 1171.74398
Mogilevskaya, Sofia G.; Crouch, Steven L.; Stolarski, Henryk K.
2008
Overall moduli of solids with microcracks: load-induced anisotropy. Zbl 0506.73097
Horii, H.; Nemat-Nasser, S.
1983
Crack-tip problem in non-local elasticity. Zbl 0375.73083
Eringen, A. C.; Speziale, C. G.; Kim, B. S.
1977
Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012
Milton, Graeme W.; Kohn, Robert V.
1988
Localized necking in thin sheets. Zbl 0328.73029
Stören, S.; Rice, J. R.
1975
Constitutive modeling of the large strain time-dependent behavior of elastomers. Zbl 1056.74500
Bergström, J. S.; Boyce, M. C.
1998
A general anisotropic yield criterion using bounds and a transformation weighting tensor. Zbl 0792.73029
Karafillis, A. P.; Boyce, M. C.
1993
Laws of crack motion and phase-field models of fracture. Zbl 1421.74089
Hakim, Vincent; Karma, Alain
2009
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.
2000
A theory of coupled diffusion and large deformation in polymeric gels. Zbl 1162.74313
Hong, Wei; Zhao, Xuanhe; Zhou, Jinxiong; Suo, Zhigang
2008
A nonlinear field theory of deformable dielectrics. Zbl 1171.74345
Suo, Zhigang; Zhao, Xuanhe; Greene, William H.
2008
Poromechanics of freezing materials. Zbl 1120.74447
Coussy, Olivier
2005
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.
2005
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Zbl 0821.73005
Hazanov, S.; Huet, C.
1994
A computational procedure for rate-independent crystal plasticity. Zbl 1054.74549
Anand, L.; Kothari, M.
1996
On the overall elastic moduli of composite materials. Zbl 0177.53204
Walpole, L. J.
1969
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
2005
A theory of subgrain dislocation structures. Zbl 1001.74007
Ortiz, M.; Repetto, E. A.; Stainier, L.
2000
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
2003
A constitutive model for ferroelectric polycrystals. Zbl 0973.74026
Huber, J. E.; Fleck, N. A.; Landis, C. M.; McMeeking, R. M.
1999
A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046
Bhattacharya, K.; James, R. D.
1999
A theory of the kinematics of ideal soils under plane strain conditions. Zbl 0125.15208
Spencer, A. J. M.
1964
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.
1972
Elastic theory of unconstrained non-Euclidean plates. Zbl 1306.74031
Efrati, E.; Sharon, E.; Kupferman, R.
2009
A continuum model of a thermoelastic solid capable of undergoing phase transitions. Zbl 0825.73058
Abeyaratne, Rohan; Knowles, James K.
1993
Some basic principles in the mechanics of solids without a natural time. Zbl 0086.17301
Hill, R.
1959
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.
2011
A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. Zbl 1159.74381
Garikipati, K.; Arruda, E. M.; Grosh, K.; Narayanan, H.; Calve, S.
2004
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
1992
The mechanics of size-dependent indentation. Zbl 0967.74043
Begley, Matthew R.; Hutchinson, John W.
1998
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.
2008
Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014
Miehe, Christian; Keck, Joachim
2000
Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. Zbl 1049.74034
Chang, Tienchong; Gao, Huajian
2003
A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010
Acharya, Amit
2001
Origin of crack tip instabilities. Zbl 0878.73053
Marder, M.; Gross, Steve
1995
A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014
2020
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
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.
2018
Progressive damage and rupture in polymers. Zbl 1441.74025
Talamini, Brandon; Mao, Yunwei; Anand, Lallit
2018
Effect of surface tension on the behavior of adhesive contact based on Lennard-Jones potential law. Zbl 1441.74137
Zhu, Xinyao; Xu, Wei
2018
A general multiscale framework for the emergent effective elastodynamics of metamaterials. Zbl 1441.74135
Sridhar, A.; Kouznetsova, V. G.; Geers, M. G. D.
2018
Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries. Zbl 1441.74040
Peigney, Michaël
2018
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
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.
2018
Rate-independent dissipation in phase-field modelling of displacive transformations. Zbl 1441.74147
Tůma, K.; Stupkiewicz, S.; Petryk, H.
2018
Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces. Zbl 1443.74161
Vattré, Aurelien; Pan, E.
2018
Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040
Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot
2018
Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation. Zbl 1445.74022
Amabili, Marco
2018
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
2018
Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces. Zbl 1442.74026
Bacigalupo, Andrea; Gambarotta, Luigi
2017
Variational coarse-graining procedure for dynamic homogenization. Zbl 1442.74190
Liu, Chenchen; Reina, Celia
2017
Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion. Zbl 1442.74093
Dayal, Kaushik
2017
Elastic strain relaxation in interfacial dislocation patterns. I: A parametric energy-based framework. Zbl 1442.74051
Vattré, Aurelien
2017
Elastic strain relaxation in interfacial dislocation patterns. II: From long- and short-range interactions to local reactions. Zbl 1442.74050
Vattré, A.
2017
Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition $$\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}$$. Zbl 1442.74004
Reina, Celia; Conti, Sergio
2017
The atomistic representation of first strain-gradient elastic tensors. Zbl 1444.74007
Admal, Nikhil Chandra; Marian, Jaime; Po, Giacomo
2017
The elasto-plastic exquisite corpse: A suquet legacy. Zbl 1445.74011
Francfort, Gilles A.; Giacomini, Alessandro; Marigo, Jean-Jacques
2016
On the determination of missing boundary data for solids with nonlinear material behaviors, using displacement fields measured on a part of their boundaries. Zbl 1451.74111
Andrieux, Stéphane; Baranger, Thouraya N.
2016
Quasi-static responses and variational principles in gradient plasticity. Zbl 1451.74054
Nguyen, Quoc-Son
2016
Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040
2016
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.
2015
Willis elastodynamic homogenization theory revisited for periodic media. Zbl 1349.74302
Nassar, H.; He, Q.-C.; Auffray, N.
2015
Modelling the torsion of thin metal wires by distortion gradient plasticity. Zbl 1349.74072
Bardella, Lorenzo; Panteghini, Andrea
2015
3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter. Zbl 1349.74125
Li, X.-Y.; Wu, F.; Jin, X.; Chen, W.-Q.
2015
On the second-order homogenization of wave motion in periodic media and the sound of a chessboard. Zbl 1349.74300
Wautier, Antoine; Guzina, Bojan B.
2015
On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture. Zbl 1349.74033
Grassl, P.; Fahy, C.; Gallipoli, D.; Wheeler, S. J.
2015
Torsional vibrations of a column of fine-grained material: a gradient elastic approach. Zbl 1349.74183
Polyzos, D.; Huber, G.; Mylonakis, G.; Triantafyllidis, T.; Papargyri-Beskou, S.; Beskos, D. E.
2015
Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. Zbl 1349.74071
Wulfinghoff, Stephan; Forest, Samuel; Böhlke, Thomas
2015
A nonlinear, transient finite element method for coupled solvent diffusion and large deformation of hydrogels. Zbl 1349.74130
Bouklas, Nikolaos; Landis, Chad M.; Huang, Rui
2015
On a molecular statistical basis for Ogden’s model of rubber elasticity. Zbl 1349.82168
Ehret, Alexander E.
2015
Dielectric elastomer composites: a general closed-form solution in the small-deformation limit. Zbl 1327.74030
Spinelli, Stephen A.; Lefèvre, Victor; Lopez-Pamies, Oscar
2015
A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M.
2015
Asymptotic homogenization of three-dimensional thermoelectric composites. Zbl 1349.74029
Yang, Yang; Lei, Chihou; Gao, Cun-Fa; Li, Jiangyu
2015
Multiscale mechanics of macromolecular materials with unfolding domains. Zbl 1349.74285
De Tommasi, D.; Puglisi, G.; Saccomandi, G.
2015
The post-buckling behavior of a beam constrained by springy walls. Zbl 1349.74142
Katz, Shmuel; Givli, Sefi
2015
Coalescence of voids by internal necking: theoretical estimates and numerical results. Zbl 1349.74039
Morin, Léo; Leblond, Jean-Baptiste; Benzerga, A. Amine
2015
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
2015
Dissipation consistent fabric tensor definition from DEM to continuum for granular media. Zbl 1349.74047
Li, X. S.; Dafalias, Y. F.
2015
Morphoelastic control of gastro-intestinal organogenesis: theoretical predictions and numerical insights. Zbl 1349.74259
Balbi, V.; Kuhl, E.; Ciarletta, P.
2015
Multiaxial yield surface of transversely isotropic foams. I: Modeling. Zbl 1349.74077
Ayyagari, Ravi Sastri; Vural, Murat
2015
On the mechanical modeling of the extreme softening/stiffening response of axially loaded tensegrity prisms. Zbl 1349.74056
Fraternali, Fernando; Carpentieri, Gerardo; Amendola, Ada
2015
A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker-Prager matrix. Zbl 1349.74068
Cheng, Long; Jia, Yun; Oueslati, Abdelbacet; de Saxcé, Géry; Kondo, Djimedo
2015
Steady and transient sliding under rate-and-state friction. Zbl 1349.74268
Putelat, Thibaut; Dawes, Jonathan H. P.
2015
Cnoidal waves in solids. Zbl 1349.74212
Veveakis, E.; Regenauer-Lieb, K.
2015
A 3D mechanistic model for brittle materials containing evolving flaw distributions under dynamic multiaxial loading. Zbl 1349.74045
Hu, Guangli; Liu, Junwei; Graham-Brady, Lori; Ramesh, K. T.
2015
Utilizing mechanical loads and flexoelectricity to induce and control complicated evolution of domain patterns in ferroelectric nanofilms. Zbl 1349.82163
Chen, Weijin; Zheng, Yue; Feng, Xue; Wang, Biao
2015
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
2014
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of $$\mathbf F=\mathbf F^e\mathbf F^p$$. Zbl 1323.74018
Reina, C.; Conti, S.
2014
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. Zbl 1323.74003
2014
An energy formulation of continuum magneto-electro-elasticity with applications. Zbl 1303.74017
Liu, Liping
2014
Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling. Zbl 1303.74008
Sicsic, Paul; Marigo, Jean-Jacques; Maurini, Corrado
2014
Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. Zbl 1328.74075
Kochmann, Dennis M.; Milton, Graeme W.
2014
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
2014
A numerical basis for strain-gradient plasticity theory: Rate-independent and rate-dependent formulations. Zbl 1303.74010
Nielsen, K. L.; Niordson, C. F.
2014
Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003
Levitas, Valery I.
2014
Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041
Siboni, Morteza Hakimi; Ponte Castañeda, Pedro
2014
A Cahn-Hilliard-type phase-field theory for species diffusion coupled with large elastic deformations: Application to phase-separating Li-ion electrode materials. Zbl 1328.74042
Di Leo, Claudio V.; Rejovitzky, Elisha; Anand, Lallit
2014
Homogenisation for elastic photonic crystals and dynamic anisotropy. Zbl 1328.74048
Antonakakis, T.; Craster, R. V.; Guenneau, S.
2014
Variational principles and the related bounding theorems for bi-modulus materials. Zbl 1349.74293
Du, Zongliang; Guo, Xu
2014
The generalized Hill model: a kinematic approach towards active muscle contraction. Zbl 1328.74063
Göktepe, Serdar; Menzel, Andreas; Kuhl, Ellen
2014
On the mechanics of growing thin biological membranes. Zbl 1303.74024
Rausch, Manuel K.; Kuhl, Ellen
2014
Singularity-free dislocation dynamics with strain gradient elasticity. Zbl 1328.74016
Po, Giacomo; Lazar, Markus; Seif, Dariush; Ghoniem, Nasr
2014
A variational model for fracture and debonding of thin films under in-plane loadings. Zbl 1328.74059
León Baldelli, A. A.; Babadjian, J.-F.; Bourdin, B.; Henao, D.; Maurini, C.
2014
Transformation elastodynamics and cloaking for flexural waves. Zbl 1328.74055
Colquitt, D. J.; Brun, M.; Gei, M.; Movchan, A. B.; Movchan, N. V.; Jones, I. S.
2014
Large scale modulation of high frequency waves in periodic elastic composites. Zbl 1328.74006
Boutin, Claude; Rallu, Antoine; Hans, Stephane
2014
Flexoelectricity in soft materials and biological membranes. Zbl 1323.74029
Deng, Qian; Liu, Liping; Sharma, Pradeep
2014
A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials. I. General theory. Zbl 1323.74008
Gao, Xiang; Huang, Zhuping; Qu, Jianmin; Fang, Daining
2014
Effective moduli of ellipsoidal particle reinforced piezoelectric composites with imperfect interfaces. Zbl 1323.74025
Wang, Z.; Zhu, J.; Jin, Xian Yu; Chen, W. Q.; Zhang, Ch.
2014
A novel homogenization method for phase field approaches based on partial rank-one relaxation. Zbl 1328.74033
Mosler, J.; Shchyglo, O.; Montazer Hojjat, H.
2014
Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps. Zbl 1328.74052
Kim, Eunho; Yang, Jinkyu
2014
From coherent to incoherent mismatched interfaces: a generalized continuum formulation of surface stresses. Zbl 1328.74012
Dingreville, Rémi; Hallil, Abdelmalek; Berbenni, Stéphane
2014
The role of mechanics during brain development. Zbl 1328.74061
Budday, Silvia; Steinmann, Paul; Kuhl, Ellen
2014
Asymptotic analysis of hierarchical martensitic microstructure. Zbl 1328.74070
Cesana, Pierluigi; Porta, Marcel; Lookman, Turab
2014
Computational strain gradient crystal plasticity. Zbl 1323.74021
Niordson, Christian F.; Kysar, Jeffrey W.
2014
Shape control of active surfaces inspired by the movement of euglenids. Zbl 1323.92034
Arroyo, Marino; DeSimone, Antonio
2014
Hyper-QC: An accelerated finite-temperature quasicontinuum method using hyperdynamics. Zbl 1303.74007
Kim, W. K.; Luskin, M.; Perez, D.; Voter, A. F.; Tadmor, E. B.
2014
Exact results for the local fields and the effective moduli of fibrous composites with thickly coated fibers. Zbl 1328.74032
Benveniste, Y.
2014
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
2014
A computational homogenization approach for Li-ion battery cells. I. – Formulation. Zbl 1323.74063
Salvadori, A.; Bosco, E.; Grazioli, D.
2014
Uniqueness of inverse problems of isotropic incompressible three-dimensional elasticity. Zbl 1349.74155
Albocher, Uri; Barbone, Paul E.; Oberai, Assad A.; Harari, Isaac
2014
Anisotropic compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon. Zbl 1328.74025
Levitas, Valery I.; Attariani, Hamed
2014
Shakedown of elastic-perfectly plastic materials with temperature-dependent elastic moduli. Zbl 1328.74022
Peigney, Michaël
2014
A non-linear rod model for folded elastic strips. Zbl 1323.74044
Dias, Marcelo A.; Audoly, Basile
2014
Straightening wrinkles. Zbl 1323.74013
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
2014
A multiscale Taylor model-based constitutive theory describing grain growth in polycrystalline cubic metals. Zbl 1303.74012
Thamburaja, P.; Jamshidian, M.
2014
Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon. Zbl 1328.74044
Fu, Y. B.; Xie, Y. X.
2014
Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening. Zbl 1328.74021
Gurtin, Morton E.; Reddy, B. Daya
2014
Central summation in the quasicontinuum method. Zbl 1328.74004
Beex, L. A. A.; Peerlings, R. H. J.; Geers, M. G. D.
2014
Mechanical properties of carbon nanotube ropes with hierarchical helical structures. Zbl 1328.74069
Zhao, Zi-Long; Zhao, Hong-Ping; Wang, Jian-Shan; Zhang, Zhong; Feng, Xi-Qiao
2014
Mechanics and electrochemistry of ionic polymer metal composites. Zbl 1328.82058
Cha, Youngsu; Porfiri, Maurizio
2014
Atomistic-to-continuum multiscale modeling with long-range electrostatic interactions in ionic solids. Zbl 1323.74020
Marshall, Jason; Dayal, Kaushik
2014
Effect of Lode parameter on plastic flow localization after proportional loading at low stress triaxialities. Zbl 1323.74005
Dunand, Matthieu; Mohr, Dirk
2014
Two-temperature continuum thermomechanics of deforming amorphous solids. Zbl 1349.74023
Kamrin, Ken; Bouchbinder, Eran
2014
The JKR-type adhesive contact problems for power-law shaped axisymmetric punches. Zbl 1328.74066
Borodich, Feodor M.; Galanov, Boris A.; Suarez-Alvarez, Maria M.
2014
On reflected interactions in elastic solids containing inhomogeneities. Zbl 1328.74074
Rodin, Gregory J.; Weng, George J.
2014
...and 1665 more Documents
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#### Cited by 13,390 Authors

 85 Steinmann, Paul 76 Wang, Xu 72 Miehe, Christian 69 Liu, Wing Kam 63 Ortiz, Michael 63 Sevostianov, Igor 55 Fleck, Norman A. 52 Huang, Yonggang Young 50 Schiavone, Peter 50 Willis, John Raymond 49 Geers, Marc G. D. 49 Ponte Castañeda, Pedro 49 Stefanelli, Ulisse 47 Rabczuk, Timon 47 Wriggers, Peter 45 Gao, Huajian 43 Conti, Sergio 42 Ogden, Raymond William 42 Tvergaard, Viggo 40 Reddy, Junuthula Narasimha 39 Belytschko, Ted Bohdan 38 Bigoni, Davide 38 Chen, Weiqiu 38 Du, Qiang 38 Neff, Patrizio 36 Acharya, Amit 35 Needleman, Alan 34 Goriely, Alain 34 Gurtin, Morton Edward 34 Movchan, Alexander B. 34 Mukhopadhyay, Santwana 33 Roubíček, Tomáš 33 Truskinovsky, Lev 32 Rodríguez-Ramos, Reinaldo 31 Li, Shaofan 30 Fish, Jacob 30 Marigo, Jean-Jacques 30 Milton, Graeme Walter 30 Mishuris, Gennady S. 30 Triantafyllidis, Nicolas 29 Menzel, Andreas M. 29 Mielke, Alexander 29 Wang, Yuesheng 28 Deshpande, Vikram S. 28 Gao, Cun-Fa 28 Hutchinson, John Woodside 28 Kuhl, Ellen 28 Kumar, Rajneesh 28 Svendsen, Bob 28 van der Giessen, Erik 27 Bhattacharya, Kaushik 27 He, Qichang 27 Javili, Ali 27 Sabina, Federico J. 27 Wick, Thomas 26 Ansari, Reza 26 Horgan, Cornelius Oliver 26 Lopez-Pamies, Oscar 26 Weng, George J. 26 Wineman, Alan S. 26 Zohdi, Tarek I. 25 Benveniste, Yakov 25 Drozdov, Aleksey D. 25 Forest, Samuel 25 Ganghoffer, Jean-François 25 Hackl, Klaus 25 Mosler, Jörn 25 Rosakis, Ares J. 24 de Borst, René 24 Eremeyev, Victor A. 24 Placidi, Luca 24 Quintanilla de Latorre, Ramón 24 Schröder, Jörg 24 Steigmann, David J. 23 Anand, Lallit 23 Ghosh, Somnath 23 James, Richard D. 23 Kondo, Djimédo 23 Lipton, Robert P. 23 Niordson, Christian F. 23 Ortner, Christoph 23 Othman, Mohamed Ibrahim Ahmed 23 Reddy, B. Dayanand 23 Zhang, Chuanzeng 22 Aifantis, Elias C. 22 Bravo-Castillero, Julián 22 Ezzat, Magdy A. 22 Ghayesh, Mergen H. 22 Guinovart-Díaz, Raúl 22 Gunzburger, Max D. 22 Rubin, Miles B. 22 Singh, Baljeet 22 Zhou, Zhengong 21 Hwang, Keum Cheol 21 Marotti de Sciarra, Francesco 21 Mogilevskaya, Sofia G. 21 Rice, James Robert 21 Slepyan, Leonid I. 20 de Lorenzis, Laura 20 DeSimone, Antonio ...and 13,290 more Authors
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#### Cited in 407 Journals

 1,661 Journal of the Mechanics and Physics of Solids 1,178 Computer Methods in Applied Mechanics and Engineering 954 Acta Mechanica 842 European Journal of Mechanics. A. Solids 740 International Journal of Engineering Science 547 International Journal of Solids and Structures 475 Mathematics and Mechanics of Solids 462 Computational Mechanics 393 Journal of Elasticity 362 International Journal for Numerical Methods in Engineering 276 Applied Mathematical Modelling 274 International Journal of Fracture 259 Continuum Mechanics and Thermodynamics 241 Meccanica 235 International Journal of Plasticity 204 ZAMP. Zeitschrift für angewandte Mathematik und Physik 192 Archive of Applied Mechanics 187 Archive for Rational Mechanics and Analysis 175 Engineering Analysis with Boundary Elements 146 Acta Mechanica Sinica 143 Journal of Computational Physics 143 Applied Mathematics and Mechanics. (English Edition) 130 Wave Motion 109 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 87 Journal of Engineering Mathematics 80 Mechanics Research Communications 80 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 79 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 75 Applied Mathematics and Computation 69 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 67 International Journal for Numerical and Analytical Methods in Geomechanics 66 Computers & Mathematics with Applications 59 Journal of Theoretical Biology 54 Journal of Applied Mathematics and Mechanics 50 Mathematical Problems in Engineering 44 Archives of Computational Methods in Engineering 44 International Journal of Computational Methods 41 Journal of Mathematical Analysis and Applications 41 AMM. Applied Mathematics and Mechanics. (English Edition) 40 SIAM Journal on Applied Mathematics 39 Physica D 39 Calculus of Variations and Partial Differential Equations 39 Engineering Computations 37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Journal of Nonlinear Science 36 Journal of Applied Mechanics and Technical Physics 35 Journal of Computational and Applied Mathematics 34 Journal of Fluid Mechanics 34 Mathematical Methods in the Applied Sciences 33 Multiscale Modeling & Simulation 31 Ingenieur-Archiv 30 Structural and Multidisciplinary Optimization 29 Journal of Mathematical Physics 28 Soviet Applied Mechanics 27 SIAM Journal on Mathematical Analysis 26 Nonlinear Dynamics 25 Computational Geosciences 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 International Applied Mechanics 24 GAMM-Mitteilungen 23 Communications in Nonlinear Science and Numerical Simulation 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Journal of Scientific Computing 22 Acta Mechanica Sinica. (English Edition) 22 Communications in Numerical Methods in Engineering 22 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Mathematical and Computer Modelling 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Journal of Differential Equations 18 Prikladnaya Matematika i Mekhanika 18 Quarterly of Applied Mathematics 18 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Discrete and Continuous Dynamical Systems. Series S 18 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 16 Journal of Optimization Theory and Applications 16 Science in China. Series E 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Non-Equilibrium Thermodynamics 15 Journal of Vibration and Control 15 Nonlinear Analysis. Real World Applications 15 Sādhanā 15 Granular Matter 14 SIAM Journal on Numerical Analysis 14 Applied Numerical Mathematics 14 Inverse Problems in Science and Engineering 13 International Journal of Heat and Mass Transfer 13 European Journal of Applied Mathematics 13 PMM, Journal of Applied Mathematics and Mechanics 12 Applicable Analysis 12 Mathematics of Computation 12 Discrete and Continuous Dynamical Systems. Series B 12 Theoretical and Applied Mechanics 12 Advances in Applied Mathematics and Mechanics 11 Archives of Mechanics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Applied Mathematics Letters 11 Computational Mathematics and Modeling 11 International Journal of Structural Stability and Dynamics 10 Bulletin of Mathematical Biology ...and 307 more Journals
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#### Cited in 57 Fields

 12,289 Mechanics of deformable solids (74-XX) 1,031 Numerical analysis (65-XX) 997 Partial differential equations (35-XX) 676 Fluid mechanics (76-XX) 665 Statistical mechanics, structure of matter (82-XX) 437 Calculus of variations and optimal control; optimization (49-XX) 400 Classical thermodynamics, heat transfer (80-XX) 387 Biology and other natural sciences (92-XX) 211 Optics, electromagnetic theory (78-XX) 131 Integral equations (45-XX) 130 Mechanics of particles and systems (70-XX) 88 Geophysics (86-XX) 83 Dynamical systems and ergodic theory (37-XX) 69 Real functions (26-XX) 66 Ordinary differential equations (34-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 62 Differential geometry (53-XX) 50 Operator theory (47-XX) 48 Quantum theory (81-XX) 45 Functions of a complex variable (30-XX) 41 Operations research, mathematical programming (90-XX) 39 Computer science (68-XX) 37 Functional analysis (46-XX) 34 Systems theory; control (93-XX) 33 Probability theory and stochastic processes (60-XX) 28 Global analysis, analysis on manifolds (58-XX) 24 History and biography (01-XX) 24 Statistics (62-XX) 22 Integral transforms, operational calculus (44-XX) 20 Measure and integration (28-XX) 19 General and overarching topics; collections (00-XX) 17 Approximations and expansions (41-XX) 15 Special functions (33-XX) 15 Convex and discrete geometry (52-XX) 13 Potential theory (31-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Information and communication theory, circuits (94-XX) 7 Topological groups, Lie groups (22-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 6 Combinatorics (05-XX) 6 Difference and functional equations (39-XX) 5 Sequences, series, summability (40-XX) 5 Relativity and gravitational theory (83-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)