# zbMATH — the first resource for mathematics

## Journal of Elasticity

### The Physical and Mathematical Science of Solids

 Short Title: J. Elasticity Publisher: Springer Netherlands, Dordrecht ISSN: 0374-3535; 1573-2681/e Online: http://link.springer.com/journal/volumesAndIssues/10659 Comments: Indexed cover-to-cover
 Documents Indexed: 2,030 Publications (since 1972) References Indexed: 1,589 Publications with 34,337 References.
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#### Latest Issues

 144, No. 2 (2021) 144, No. 1 (2021) 143, No. 2 (2021) 143, No. 1 (2021) 142, No. 2 (2020) 142, No. 1 (2020) 141, No. 2 (2020) 141, No. 1 (2020) 140, No. 2 (2020) 140, No. 1 (2020) 139, No. 2 (2020) 139, No. 1 (2020) 138, No. 2 (2020) 138, No. 1 (2020) 137, No. 2 (2019) 137, No. 1 (2019) 136, No. 2 (2019) 136, No. 1 (2019) 135, No. 1-2 (2019) 134, No. 2 (2019) 134, No. 1 (2019) 133, No. 2 (2018) 133, No. 1 (2018) 132, No. 2 (2018) 132, No. 1 (2018) 131, No. 2 (2018) 131, No. 1 (2018) 130, No. 2 (2018) 130, No. 1 (2018) 129, No. 1-2 (2017) 128, No. 2 (2017) 128, No. 1 (2017) 127, No. 2 (2017) 127, No. 1 (2017) 126, No. 2 (2017) 126, No. 1 (2017) 125, No. 2 (2016) 125, No. 1 (2016) 124, No. 2 (2016) 124, No. 1 (2016) 123, No. 2 (2016) 123, No. 1 (2016) 122, No. 2 (2016) 122, No. 1 (2016) 121, No. 2 (2015) 121, No. 1 (2015) 120, No. 2 (2015) 120, No. 1 (2015) 119, No. 1-2 (2015) 118, No. 2 (2015) 118, No. 1 (2015) 117, No. 2 (2014) 117, No. 1 (2014) 116, No. 2 (2014) 116, No. 1 (2014) 115, No. 2 (2014) 115, No. 1 (2014) 114, No. 2 (2014) 114, No. 1 (2014) 113, No. 2 (2013) 113, No. 1 (2013) 112, No. 2 (2013) 112, No. 1 (2013) 111, No. 2 (2013) 111, No. 1 (2013) 110, No. 2 (2013) 110, No. 1 (2013) 109, No. 2 (2012) 109, No. 1 (2012) 108, No. 2 (2012) 108, No. 1 (2012) 107, No. 2 (2012) 107, No. 1 (2012) 106, No. 2 (2012) 106, No. 1 (2012) 105, No. 1-2 (2011) 104, No. 1-2 (2011) 103, No. 2 (2011) 103, No. 1 (2011) 102, No. 2 (2011) 102, No. 1 (2011) 101, No. 2 (2010) 101, No. 1 (2010) 100, No. 1-2 (2010) 99, No. 2 (2010) 99, No. 1 (2010) 98, No. 2 (2010) 98, No. 1 (2010) 97, No. 2 (2009) 97, No. 1 (2009) 96, No. 2 (2009) 96, No. 1 (2009) 95, No. 1-2 (2009) 94, No. 2 (2009) 94, No. 1 (2009) 93, No. 3 (2008) 93, No. 2 (2008) 93, No. 1 (2008) 92, No. 3 (2008) 92, No. 2 (2008) ...and 197 more Volumes
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#### Authors

 52 Horgan, Cornelius Oliver 39 Fosdick, Roger L. 22 Batra, Romesh C. 21 Man, Chi-Sing 21 Murphy, Jeremiah G. 21 Ting, Thomas C. T. 20 Fried, Eliot 20 Podio-Guidugli, Paulo 19 Guidugli, Paolo Podio 17 Knowles, James K. 17 Spector, Scott J. 16 Abeyaratne, Rohan C. 16 Brock, Louis M. 16 Rubin, Miles B. 15 Antman, Stuart S. 15 Chen, Yichao 15 Hoger, Anne 15 Markenscoff, Xanthippi 15 Pence, Thomas J. 15 Rajagopal, Kumbakonam Ramamani 13 Beatty, Millard F. jun. 13 Iesan, Dorin 13 Steigmann, David J. 12 Cowin, Stephen C. 12 Del Piero, Gianpietro 12 Ericksen, Jerald Laverne 12 Neff, Patrizio 12 Russo, Remigio 11 Gregory, R. Douglas 11 Hayes, Michael Alphonsus 11 Marigo, Jean-Jacques 11 Paroni, Roberto 11 Parry, Gareth P. 11 Šilhavý, Miroslav 11 Simmonds, James G. 11 Slawinski, Michael A. 11 Tarantino, Angelo Marcello 11 Wheeler, Lewis T. 10 Carlson, Donald Earle 10 Ogden, Raymond William 10 Payne, Lawrence Edward 10 Schiavone, Peter 10 Sivaloganathan, Jeyabal 10 Vianello, Maurizio 10 Villaggio, Piero 9 Boulanger, Philippe 9 Davini, Cesare 9 Epstein, Marcelo 9 Hill, James Murray 9 Knops, Robin J. 9 Murdoch, A. Ian 9 Naghdi, Paul Mansour 9 Saccomandi, Giuseppe 9 Wineman, Alan S. 8 Bîrsan, Mircea 8 Chandrasekharaiah, D. S. 8 Chen, Peter J. 8 Chiriţă, Stan 8 Ciarletta, Michele 8 Cohen, Harley 8 dell’Isola, Francesco 8 Dhaliwal, Ranjit S. 8 Georgiadis, H. G. 8 Goriely, Alain 8 Gurtin, Morton Edward 8 Quintanilla de Latorre, Ramón 8 Silling, Stewart A. 8 Theocaris, Pericles S. 8 Xiao, Heng 7 Acharya, Amit 7 Carbonaro, Bruno 7 Carroll, Michael M. 7 Comninou, Maria 7 De Tommasi, Domenico 7 Deseri, Luca 7 Guo, Zhongheng 7 Gupta, Anurag P. 7 Huang, Mojia 7 Lipton, Robert P. 7 O’Reilly, Oliver Mary 7 Simpson, Henry C. 7 Sinclair, G. B. 7 Tanuma, Kazumi 7 Unger, David J. 6 Blume, Janet A. 6 Casey, James 6 Chen, Tungyang 6 Ciarlet, Philippe Gaston 6 Clements, David L. 6 Geymonat, Giuseppe 6 Ghiba, Ionel-Dumitrel 6 Gladwell, Graham M. L. 6 Griso, Georges 6 Heise, Ulrich 6 Jiang, Qing 6 Keer, Leon M. 6 Negrón-Marrero, Pablo V. 6 Noll, Walter 6 Polignone Warne, Debra 6 Rosakis, Phoebus ...and 1,549 more Authors
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#### Fields

 1,966 Mechanics of deformable solids (74-XX) 236 Partial differential equations (35-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 54 Differential geometry (53-XX) 54 Classical thermodynamics, heat transfer (80-XX) 47 Integral equations (45-XX) 43 Statistical mechanics, structure of matter (82-XX) 41 History and biography (01-XX) 29 Biology and other natural sciences (92-XX) 24 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 23 Mechanics of particles and systems (70-XX) 18 Potential theory (31-XX) 17 Operator theory (47-XX) 16 Optics, electromagnetic theory (78-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 11 Functions of a complex variable (30-XX) 9 General and overarching topics; collections (00-XX) 9 Real functions (26-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Geophysics (86-XX) 7 Topological groups, Lie groups (22-XX) 6 Integral transforms, operational calculus (44-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

1,612 Publications have been cited 14,021 times in 8,279 Documents Cited by Year
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Green, A. E.; Lindsay, K. A.
1972
Thermoelasticity without energy dissipation. Zbl 0784.73009
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1993
The variational approach to fracture. Zbl 1176.74018
Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques
2008
A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033
Holzapfel, Gerhard A.; Gasser, Thomas C.; Ogden, Ray W.
2000
Linear elastic materials with voids. Zbl 0523.73008
Cowin, Stephen C.; Nunziato, Jace W.
1983
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
The elastic energy-momentum tensor. Zbl 0323.73011
Eshelby, J. D.
1975
Equilibrium of bars. Zbl 0324.73067
Ericksen, J. L.
1975
Decay rates for viscoelastic plates with memory. Zbl 0876.73037
Muñoz Rivera, J. E.; Lapa, E. C.; Barreto, R.
1996
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
Silling, S. A.; Lehoucq, R. B.
2008
On the ellipticity of the equations of nonlinear elastostatics for a special material. Zbl 0323.73010
Knowles, J. K.; Sternberg, Eli
1975
A gradient approach to localization of deformation. I. Hyperelastic materials. Zbl 0594.73044
Triantafyllidis, N.; Aifantis, Elias C.
1986
Bone remodelling. I: Theory of adaptive elasticity. Zbl 0335.73028
Cowin, S. C.; Hegedus, D. H.
1976
A variational definition of the strain energy for an elastic string. Zbl 0734.73094
Acerbi, Emilio; Buttazzo, Giuseppe; Percivale, Danilo
1991
On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. Zbl 0422.73038
Knowles, J. K.; Sternberg, Eli
1978
Linearized theory of peridynamic states. Zbl 1188.74008
Silling, S. A.
2010
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
Bernadou, M.; Ciarlet, P. G.; Miara, B.
1994
Plane waves in linear elastic materials with voids. Zbl 0564.73027
Puri, Pratap; Cowin, Stephen C.
1985
The viscoelastic behavior of linear elastic materials with voids. Zbl 0564.73044
Cowin, Stephen C.
1985
Deformation of a peridynamic bar. Zbl 1061.74031
Silling, S. A.; Zimmermann, M.; Abeyaratne, R.
2003
Symmetry classes for elasticity tensors. Zbl 0876.73008
Forte, Sandra; Vianello, Maurizio
1996
Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061
Batra, R. C.; Yang, J. S.
1995
On the determination of residual stress in an elastic body. Zbl 0616.73033
Hoger, Anne
1986
A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results. Zbl 1206.74019
Neff, Patrizio; Forest, Samuel
2007
Quasistatic viscoelastic contact with normal compliance and friction. Zbl 0921.73231
Rochdi, M.; Shillor, M.; Sofonea, M.
1998
Nonlinear electroelastic deformations. Zbl 1091.74014
Dorfmann, A.; Ogden, R. W.
2006
A class of variational-hemivariational inequalities in reflexive Banach spaces. Zbl 1368.47045
Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
2017
On the dissipation associated with equilibrium shocks in finite elasticity. Zbl 0407.73037
Knowles, James K.
1979
On the averaging of symmetric positive-definite tensors. Zbl 1094.74010
Moakher, Maher
2006
A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. Zbl 0585.73017
Horgan, C. O.; Abeyaratne, R.
1986
Finite strain solutions in compressible isotropic elasticity. Zbl 0654.73030
Carroll, M. M.
1988
Local symmetry group in the general theory of elastic shells. Zbl 1105.74019
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2006
Computational mechanics of the heart. Zbl 1071.74659
Nash, M. P.; Hunter, P. J.
2000
Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids. Zbl 0964.74008
Qiu, G. Y.; Pence, T. J.
1997
The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012
Horgan, C. O.; Chan, A. M.
1999
On the stress singularities in the plane elasticity of the composite wedge. Zbl 0426.73021
Dempsey, J. P.; Sinclair, G. B.
1979
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell’Isola, Francesco; Steigmann, David
2015
Nonlocal constrained value problems for a linear peridynamic Navier equation. Zbl 1297.74051
2014
The nonlinear theory of elastic shells with phase transitions. Zbl 1058.74058
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2004
A unified approach to dynamic contact problems in viscoelasticity. Zbl 1138.74375
Migórski, Stanisław; Ochal, Anna
2006
Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Zbl 1089.74576
Ammari, Habib; Kang, Hyeonbae; Nakamura, Gen; Tanuma, Kazumi
2002
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
2005
Steady flow of a Navier-Stokes fluid around a rotating obstacle. Zbl 1156.76367
Galdi, Giovanni P.
2003
A new formula for the $$C$$-matrix in the Somigliana identity. Zbl 0801.73015
Mantič, V.
1993
Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory. Zbl 0536.73047
Gregory, R. Douglas; Wan, Frederic Y. M.
1984
A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. Zbl 0876.73014
Chandrasekharaiah, D. S.
1996
On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models. Zbl 0819.73008
Triantafyllidis, N; Bardenhagen, S.
1993
A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
2002
Viscoelastic relaxation functions compatible with thermodynamics. Zbl 0661.73019
Fabrizio, M.; Morro, A.
1988
An exact derivation of the thin plate equation. Zbl 0692.73049
Podio-Guidugli, P.
1989
Reconciliation of local and global symmetries of crystals. Zbl 0543.73001
Pitteri, M.
1984
On Saint-Venant’s principle in linear elastodynamics. Zbl 0891.73010
Chiriţă, S.; Quintanilla, R.
1996
Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods. Zbl 0653.73010
Cimetière, A.; Geymonat, G.; Le Dret, Hervé; Raoult, Annie; Tutek, Z.
1988
Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity. Zbl 1058.74045
Georgiadis, H. G.; Vardoulakis, I.; Velgaki, E. G.
2004
The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris. Zbl 1166.74029
Lancioni, Giovanni; Royer-Carfagni, Gianni
2009
A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. Zbl 0876.73030
Wang, Y.; Aron, M.
1996
Some properties of the set of fourth-order tensors, with application to elasticity. Zbl 0412.73007
Del Piero, Gianpietro
1979
Determination of $$C^{1/2}$$, $$C^{-1/2}$$ and more general isotropic tensor functions of C. Zbl 0587.73002
Ting, T. C. T.
1985
On Poisson’s ratio in linearly viscoelastic solids. Zbl 1098.74013
Lakes, R. S.; Wineman, A.
2006
Discontinuous deformation gradients in plane finite elastostatics of incompressible materials. Zbl 0486.73031
Abeyaratne, Rohan C.
1980
Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results. Zbl 0286.73076
Knowles, J. K.; Sternberg, Eli
1974
A complete solution of the wave equations for transversely isotropic media. Zbl 1092.74019
2005
The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry. Zbl 1104.74014
Moakher, Maher; Norris, Andrew N.
2006
An average-stretch full-network model for rubber elasticity. Zbl 1073.74013
Beatty, Millard F.
2003
Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids. Zbl 1014.74038
Coleman, Bernard D.; Swigon, David
2000
Large deformations near a tip of an interface-crack between two Neo- Hookean sheets. Zbl 0546.73079
Knowles, J. K.; Sternberg, Eli
1983
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2013
On the anti-plane shear problem in finite elasticity. Zbl 0496.73036
Gurtin, Morton E.; Temam, Roger
1981
Hypo-elasticity model based upon the logarithmic stress rate. Zbl 0888.73011
Xiao, H.; Bruhns, O. T.; Meyers, A.
1997
On invertibility of elastic single-layer potential operator. Zbl 1058.74018
Vodička, R.; Mantič, V.
2004
On the shape of the Eshelby inclusions. Zbl 0906.73014
Markenscoff, Xanthippi
1998
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
Analysis of plane-strain crack problems (mode-I & mode-II) in the presence of surface elasticity. Zbl 1300.74048
Kim, C. I.; Schiavone, P.; Ru, C.-Q.
2011
A fractional model of continuum mechanics. Zbl 1451.74219
Drapaca, C. S.; Sivaloganathan, S.
2012
Strain rates and material spins. Zbl 0946.74004
Xiao, Heng; Timme Bruhns, Otto; Meyers, Albert Thomas Marie
1998
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
1993
The Hertz contact problem with finite friction. Zbl 0333.73012
Spence, D. A.
1975
Bone remodeling. II: Small strain adaptive elasticity. Zbl 0342.73069
Hegedus, D. H.; Cowin, S. C.
1976
Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation. I: Mechanical equilibrium. II: Kink band stability and maximally dissipative band broadening. Zbl 1007.74022
Merodio, Jose; Pence, Thomas J.
2001
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
2014
On $$\nu +1$$-lattices. Zbl 0568.73112
Pitteri, Mario
1985
Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044
Ciarlet, Philippe G.; Lods, Véronique
1996
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041
Silling, S. A.
1988
On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004
Hoger, Anne; Carlson, Donald E.
1984
The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions. Zbl 0473.73010
Gregory, R. D.
1980
Shear and necking instabilities in nonlinear elasticity. Zbl 0356.73048
Antman, Stuart S.; Carbone, Ernest R.
1977
A unified interpretation of stress in molecular systems. Zbl 1260.74005
2010
The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. Zbl 0631.73016
Antman, Stuart S.; Negrón-Marrero, Pablo V.
1987
The fundamental theorem of surface theory for surfaces with little regularity. Zbl 1076.53003
Mardare, Sorin
2003
On the existence of minimizers with prescribed singular points in nonlinear elasticity. Zbl 0987.74016
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
Finite scale microstructures in nonlocal elasticity. Zbl 0990.74007
Ren, Xiaofeng; Truskinovsky, Lev
2000
SH surface waves in a homogeneous gradient-elastic half-space with surface energy. Zbl 0912.73016
1997
Variational theory for spatial rods. Zbl 0801.73039
Steigmann, D. J.; Faulkner, M. G.
1993
An explicit formula for the minimum free energy in linear viscoelasticity. Zbl 0948.74011
Deseri, Luca; Gentili, Giorgio; Golden, Murrough
1999
An admissibility condition for equilibrium shocks in finite elasticity. Zbl 0545.73032
Abeyaratne, Rohan
1983
Energy inequalities and the domain of influence theorem in classical elastodynamics. Zbl 0547.73011
Carbonaro, Bruno; Russo, Remigio
1984
On the singular behavior at the vertex of a bi-material wedge. Zbl 0463.73006
Dempsey, J. P.; Sinclair, G. B.
1981
Applications of an energy-momentum tensor in non-linear elastostatics. Zbl 0328.73006
1975
On the size of RVE in finite elasticity of random composites. Zbl 1104.74008
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
On the strong ellipticity of the anisotropic linearly elastic materials. Zbl 1109.74008
Chiriţă, Stan; Danescu, Alexandre; Ciarletta, Michele
2007
Discrete kernel functions for fcc crystals within Eringen’s nonlocal theory of elasticity. Zbl 1467.74021
Shodja, H. M.; Shahvaghar-Asl, S.
2021
Asymptotic analysis of elliptic membrane shells in thermoelastodynamics. Zbl 1466.74024
Cao-Rial, M. T.; Castiñeira, G.; Rodríguez-Arós, Á.; Roscani, S.
2021
BMO and elasticity: Korn’s inequality; local uniqueness in tension. Zbl 1465.74026
Spector, Daniel E.; Spector, Scott J.
2021
Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking. Zbl 1466.35273
Liu, Hongyu; Tsui, Wing Yan; Wahab, Abdul; Wang, Xianchao
2021
Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures. Zbl 1435.35378
Magaña, Antonio; Quintanilla, Ramón
2020
Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model. Zbl 1433.74009
d&rsquo;Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Eidel, Bernhard; Neff, Patrizio; Madeo, Angela
2020
The bending of beams in finite elasticity. Zbl 1433.74029
Lanzoni, Luca; Tarantino, Angelo Marcello
2020
Equilibrium paths for von Mises trusses in finite elasticity. Zbl 1434.74027
Pelliciari, Matteo; Tarantino, Angelo Marcello
2020
Higher Sobolev regularity of convex integration solutions in elasticity: the planar geometrically linearized hexagonal-to-rhombic phase transformation. Zbl 1431.74016
Rüland, Angkana; Zillinger, Christian; Zwicknagl, Barbara
2020
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. Zbl 1433.74014
Neff, Patrizio; Eidel, Bernhard; d&rsquo;Agostino, Marco Valerio; Madeo, Angela
2020
Generalized Euclidean distances for elasticity tensors. Zbl 1434.74020
Morin, Léo; Gilormini, Pierre; Derrien, Katell
2020
Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347
Deng, Youjun; Li, Hongjie; Liu, Hongyu
2020
The Stokes paradox in inhomogeneous elastostatics. Zbl 1459.74017
Ferone, Adele; Russo, Remigio; Tartaglione, Alfonsina
2020
Nonlinear propagation of coupled first- and second-sound waves in thermoelastic solids. Zbl 1431.74007
Sellitto, A.; Cimmelli, V. A.; Jou, D.
2020
The complementing and Agmon’s conditions in finite elasticity. Zbl 1433.74030
Simpson, Henry C.
2020
Homogenization approach and Bloch-Floquet theory for band-gap prediction in 2D locally resonant metamaterials. Zbl 1433.74091
Comi, Claudia; Marigo, Jean-Jacques
2020
Mechanics of high-flexible beams under live loads. Zbl 1440.74067
Lanzoni, Luca; Tarantino, Angelo Marcello
2020
Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model. Zbl 1440.74192
Baranova, S.; Mogilevskaya, S. G.; Mantič, V.; Jiménez-Alfaro, S.
2020
Generalization of plane stress and plane strain states to elastic plates of finite thickness. Zbl 1440.74007
Li, Xian-Fang; Hu, Zhen-Liang
2020
Extension-torsion-inflation coupling in compressible magnetoelastomeric thin tubes with helical magnetic anisotropy. Zbl 1440.74064
Barreto, Darius Diogo; Kumar, Ajeet; Santapuri, Sushma
2020
Energy minimising configurations of pre-strained multilayers. Zbl 1440.74197
Delgado, Miguel de Benito; Schmidt, Bernd
2020
Growth and non-metricity in Föppl-von Kármán shells. Zbl 1440.74093
Roychowdhury, Ayan; Gupta, Anurag
2020
Homogenization of perforated elastic structures. Zbl 1450.35039
Griso, Georges; Khilkova, Larysa; Orlik, Julia; Sivak, Olena
2020
Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero. Zbl 1450.35249
Bellido, J. C.; Cueto, J.; Mora-Corral, C.
2020
The isotropic Cosserat shell model including terms up to $$O(h^5)$$. I: Derivation in matrix notation. Zbl 1456.74116
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
2020
The isotropic Cosserat shell model including terms up to $$O(h^5)$$. II: Existence of minimizers. Zbl 1456.49040
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
2020
On the planar elastica, stress, and material stress. Zbl 1415.74035
Singh, H.; Hanna, J. A.
2019
An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form. Zbl 1415.74008
Zemlyanova, Anna Y.
2019
Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. Zbl 1428.35573
Caubet, Fabien; Kateb, Djalil; Le Louër, Frédérique
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
2019
Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials. Zbl 1411.74048
Lobos Fernández, Mauricio; Böhlke, Thomas
2019
The number of independent invariants for $$n$$ symmetric second order tensors. Zbl 1411.74021
Shariff, M. H. B. M.
2019
On the role of curvature in the elastic energy of non-Euclidean thin bodies. Zbl 1412.74042
Maor, Cy; Shachar, Asaf
2019
Integral-type stress boundary condition in the complete Gurtin-Murdoch surface model with accompanying complex variable representation. Zbl 1412.74008
Dai, Ming; Wang, Yong-Jian; Schiavone, Peter
2019
The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011
Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R.
2019
On Weingarten-Volterra defects. Zbl 1411.74007
Acharya, Amit
2019
Torsion of chiral porous elastic beams. Zbl 1411.74009
Ieşan, D.
2019
History-dependent inequalities for contact problems with locking materials. Zbl 07055642
Sofonea, Mircea
2019
Strong ellipticity conditions for orthotropic bodies in finite plane strain. Zbl 1412.74012
2019
A comparison between active strain and active stress in transversely isotropic hyperelastic materials. Zbl 1425.74077
Giantesio, Giulia; Musesti, Alessandro; Riccobelli, Davide
2019
Helmholtz decomposition and boundary element method applied to dynamic linear elastic problems. Zbl 1425.74498
Klaseboer, Evert; Sun, Qiang; Chan, Derek Y. C.
2019
Experimental study of elastic constants of a dense foam with weak Cosserat coupling. Zbl 07137826
Rueger, Z.; Lakes, R. S.
2019
Stress of a spatially uniform dislocation density field. Zbl 1425.74051
Acharya, Amit
2019
Elastodynamics of linearized isotropic state-based peridynamic media. Zbl 1427.74023
Wang, Linjuan; Xu, Jifeng; Wang, Jianxiang
2019
Crack growth control based on the topological derivative of the Rice’s integral. Zbl 1412.74011
Xavier, M.; Novotny, A. A.; Sokołowski, J.
2019
“Reality” and representation in mechanics: the legacy of Walter Noll. Zbl 1415.74001
Del Piero, Gianpietro
2019
The symmetries of octupolar tensors. Zbl 1415.76028
Gaeta, Giuseppe; Virga, Epifanio G.
2019
Explicit relaxation of a two-well Hadamard energy. Zbl 1415.74005
Grabovsky, Yury; Truskinovsky, Lev
2019
Macroscopic and microscopic behavior of narrow elastic ribbons. Zbl 1415.74034
Paroni, Roberto; Tomassetti, Giuseppe
2019
Hyper-stresses in $$k$$-jet field theories. Zbl 1415.74002
Segev, Reuven; Śniatycki, Jędrzej
2019
Multi-component multiphase flow through a poroelastic medium. Zbl 1415.76615
Seguin, Brian; Walkington, Noel J.
2019
In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017
Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger
2019
A nanoscale hole of arbitrary shape with surface elasticity. Zbl 1458.74021
Wang, Shuang; Xing, Shichao; Chen, Zengtao; Gao, Cunfa
2019
Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill’s linear isotropic hyperelastic material models. Zbl 07100690
Korobeynikov, S. N.
2019
Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050
Pego, Robert L.; Van, Truong-Son
2019
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell&rsquo;Isola, Francesco; Boutin, Claude; Steigmann, David
2018
Finite anticlastic bending of hyperelastic solids and beams. Zbl 1390.74034
Lanzoni, Luca; Tarantino, Angelo Marcello
2018
A peridynamic model of fracture mechanics with bond-breaking. Zbl 1395.74041
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan
2018
Harmonic factorization and reconstruction of the elasticity tensor. Zbl 1393.74025
Olive, M.; Kolev, B.; Desmorat, B.; Desmorat, R.
2018
Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003
Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot
2018
Nonlinear elastic inclusions in anisotropic solids. Zbl 1455.74016
Golgoon, Ashkan; Yavari, Arash
2018
Analytic solution for a line edge dislocation in a bimaterial system incorporating interface elasticity. Zbl 1395.74009
Dai, Ming; Schiavone, Peter
2018
Models of elastic shells in contact with a rigid foundation: an asymptotic approach. Zbl 1380.74085
Rodríguez-Arós, Ángel
2018
Potential method in the theory of elasticity for triple porosity materials. Zbl 1387.74048
2018
Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. Zbl 1387.74004
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio
2018
On the bending and twisting of rods with misfit. Zbl 1387.74065
Kohn, Robert V.; O&rsquo;Brien, Ethan
2018
A linearly elastic shell over an obstacle: the flexural case. Zbl 1387.74021
2018
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
2018
Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the Dirichlet energy. Zbl 1401.74043
Morris, Charles; Taheri, Ali
2018
Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra. Zbl 1393.74090
Giusteri, Giulio G.; Fried, Eliot
2018
On the justification of viscoelastic elliptic membrane shell equations. Zbl 1380.74082
Castiñeira, G.; Rodríguez-Arós, Á.
2018
Objectivity of state-based peridynamic models for elasticity. Zbl 1387.74013
Van Le, Quang; Bobaru, Florin
2018
Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions. Zbl 1395.49011
Scilla, Giovanni; Vallocchia, Valerio
2018
On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes. Zbl 1390.74039
Roychowdhury, Ayan; Gupta, Anurag
2018
Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007
Chen, Yi-chao; Fosdick, Roger; Fried, Eliot
2018
Waves and radiation conditions in a cuspidal sharpening of elastic bodies. Zbl 1412.35324
Kozlov, V. A.; Nazarov, S. A.
2018
Statistical and numerical considerations of Backus-average product approximation. Zbl 1395.74008
Bos, Len; Danek, Tomasz; Slawinski, Michael A.; Stanoev, Theodore
2018
On the uniqueness of energy minimizers in finite elasticity. Zbl 1415.74042
Sivaloganathan, Jeyabal; Spector, Scott J.
2018
On the decomposition of the deformation gradient in plasticity. Zbl 1387.74028
Del Piero, Gianpietro
2018
Modelling slight compressibility for hyperelastic anisotropic materials. Zbl 1451.74050
Murphy, J. G.; Rogerson, G. A.
2018
Can we hear the echos of cracks? Zbl 1380.74117
Destuynder, Philippe; Fabre, Caroline
2018
Gradient elasticity based on Laplacians of stress and strain. Zbl 1462.74026
Broese, C.; Tsakmakis, C.; Beskos, D.
2018
On spatially-averaged electrokinetics of point charges and Maxwell’s equations. Zbl 1419.78002
Murdoch, A. Ian
2018
On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions. Zbl 1387.74014
Aguiar, Adair Roberto; Lopes da Rocha, Gabriel
2018
Erratum to: “On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions”. Zbl 1408.74017
Aguiar, Adair Roberto; Lopes da Rocha, Gabriel
2018
On the use of the continuum mechanics method for describing interactions in discrete systems with rotational degrees of freedom. Zbl 1433.70009
Ivanova, Elena A.
2018
Finite third-order gradient elasticity and thermoelasticity. Zbl 1451.74026
Reiher, Jörg Christian; Bertram, Albrecht
2018
On the fiber stretch in shearing deformations of fibrous soft materials. Zbl 1403.74012
Horgan, C. O.; Murphy, J. G.
2018
Polyconvexity and existence theorem for nonlinearly elastic shells. Zbl 1393.74103
Anicic, Sylvia
2018
Dimension reduction in the context of structured deformations. Zbl 1417.49011
Carita, Graça; Matias, José; Morandotti, Marco; Owen, David R.
2018
Partial constraint singularities in elastic rods. Zbl 1415.74003
Hanna, J. A.; Singh, H.; Virga, E. G.
2018
Invariants for rari- and multi-constant theories with generalization to anisotropy in biological tissues. Zbl 1415.74007
Rubin, M. B.; Ehret, A. E.
2018
A class of variational-hemivariational inequalities in reflexive Banach spaces. Zbl 1368.47045
Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
2017
On the decay rates of porous elastic systems. Zbl 1366.35188
Santos, M. L.; Campelo, A. D. S.; Almeida Júnior, D. S.
2017
Shape programming for narrow ribbons of nematic elastomers. Zbl 1362.74007
Agostiniani, Virginia; DeSimone, Antonio; Koumatos, Konstantinos
2017
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. Zbl 1368.74015
Neff, Patrizio; Mihai, L. Angela
2017
Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams. Zbl 1374.74015
Griso, Georges; Migunova, Anastasia; Orlik, Julia
2017
Non-metric connection and metric anomalies in materially uniform elastic solids. Zbl 1362.74016
Roychowdhury, Ayan; Gupta, Anurag
2017
On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020
Holzapfel, Gerhard A.; Ogden, Ray W.
2017
Solid tumors are poroelastic solids with a chemo-mechanical feedback on growth. Zbl 1373.74033
Ambrosi, D.; Pezzuto, S.; Riccobelli, D.; Stylianopoulos, T.; Ciarletta, P.
2017
...and 1488 more Documents
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#### Cited by 7,556 Authors

 109 Quintanilla de Latorre, Ramón 66 Sofonea, Mircea 65 Neff, Patrizio 56 Horgan, Cornelius Oliver 55 Steinmann, Paul 52 Wang, Xu 50 Migórski, Stanisław 47 Ciarlet, Philippe Gaston 44 Steigmann, David J. 42 Fernández, Jose Ramon 40 Rajagopal, Kumbakonam Ramamani 39 Goriely, Alain 38 Ogden, Raymond William 36 Messaoudi, Salim A. 36 Murphy, Jeremiah G. 36 Saccomandi, Giuseppe 35 Mukhopadhyay, Santwana 35 Schiavone, Peter 34 Iesan, Dorin 31 Holzapfel, Gerhard A. 31 Kumar, Rajneesh 30 dell’Isola, Francesco 30 Placidi, Luca 30 Ting, Thomas C. T. 29 Antman, Stuart S. 29 Eremeyev, Victor A. 29 Fosdick, Roger L. 29 Pence, Thomas J. 28 Batra, Romesh C. 28 Fried, Eliot 28 Ghiba, Ionel-Dumitrel 27 Paroni, Roberto 27 Truskinovsky, Lev 26 Chiriţă, Stan 26 Epstein, Marcelo 26 Rubin, Miles B. 25 Du, Qiang 25 Han, Weimin 25 Maugin, Gérard A. 25 Singh, Baljeet 25 Yavari, Arash 24 Bîrsan, Mircea 24 Ciarletta, Michele 24 Giorgio, Ivan 24 Marin, Marin I. 23 Chen, Yizhou 23 Destrade, Michel 23 Guidugli, Paolo Podio 23 Madeo, Angela 23 Mardare, Cristinel 23 Morro, Angelo 23 Othman, Mohamed Ibrahim Ahmed 23 Russo, Remigio 23 Spector, Scott J. 22 Marigo, Jean-Jacques 22 Selvadurai, A. Patrick S. 22 Xiao, Heng 21 Markenscoff, Xanthippi 21 Ochal, Anna 21 Roubíček, Tomáš 21 Shillor, Meir 21 Šilhavý, Miroslav 20 Aouadi, Moncef 20 Lopez-Pamies, Oscar 20 Wick, Thomas 20 Wineman, Alan S. 19 Abbas, Ibrahim A. A. 19 Chen, Yichao 19 Dai, Hui-Hui 19 Fabrizio, Mauro 19 Kanoria, Mridula 19 Knops, Robin J. 19 Mustafa, Muhammad Islam 19 Sharma, Jagan Nath 18 Abeyaratne, Rohan C. 18 Bustamante, Roger 18 Chandrasekharaiah, D. S. 18 Doblaré, Manuel 18 Ericksen, Jerald Laverne 18 Kuhl, Ellen 18 Menzel, Andreas M. 18 Merodio, Jose 18 Muñoz Rivera, Jaime Edilberto 18 Podio-Guidugli, Paulo 18 Qi, Liqun 17 Barchiesi, Emilio 17 Federico, Salvatore 17 Gurtin, Morton Edward 17 Knowles, James K. 17 Silling, Stewart A. 16 Chen, Weiqiu 16 Cheng, Changjun 16 Cohen, Harley 16 Golden, John Murrough 16 Heise, Ulrich 16 Hoger, Anne 16 Kružík, Martin 16 Man, Chi-Sing 16 Novotny, Antonio André 16 O’Reilly, Oliver Mary ...and 7,456 more Authors
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#### Cited in 431 Journals

 976 Journal of Elasticity 546 Mathematics and Mechanics of Solids 471 Computer Methods in Applied Mechanics and Engineering 468 Acta Mechanica 358 International Journal of Engineering Science 304 Journal of the Mechanics and Physics of Solids 271 European Journal of Mechanics. A. Solids 225 Archive for Rational Mechanics and Analysis 214 ZAMP. Zeitschrift für angewandte Mathematik und Physik 173 Computational Mechanics 170 Continuum Mechanics and Thermodynamics 164 Meccanica 145 International Journal of Solids and Structures 120 Engineering Analysis with Boundary Elements 114 Applied Mathematical Modelling 105 International Journal for Numerical Methods in Engineering 100 Journal of Mathematical Analysis and Applications 98 Archive of Applied Mechanics 87 Applied Mathematics and Mechanics. (English Edition) 86 Wave Motion 77 Applied Mathematics and Computation 70 Computers & Mathematics with Applications 69 Journal of Engineering Mathematics 67 Mathematical Methods in the Applied Sciences 66 Applicable Analysis 60 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 57 Journal of Computational Physics 54 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 53 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Comptes Rendus. Mathématique. Académie des Sciences, Paris 48 Journal of Computational and Applied Mathematics 45 International Journal of Fracture 44 Nonlinear Analysis. Real World Applications 41 Mechanics Research Communications 40 Journal of Differential Equations 40 Quarterly of Applied Mathematics 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 39 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 38 Journal of Nonlinear Science 38 Calculus of Variations and Partial Differential Equations 35 SIAM Journal on Mathematical Analysis 33 Acta Mechanica Sinica 30 Mathematical Problems in Engineering 30 Journal of Theoretical Biology 28 Journal of Mathematical Physics 28 Mathematical and Computer Modelling 27 Journal of Applied Mathematics and Mechanics 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Journal of Optimization Theory and Applications 22 AMM. Applied Mathematics and Mechanics. (English Edition) 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Physica D 21 Applied Mathematics Letters 20 Soviet Applied Mechanics 20 SIAM Journal on Applied Mathematics 18 Acta Applicandae Mathematicae 18 Archives of Computational Methods in Engineering 18 Discrete and Continuous Dynamical Systems. Series S 18 International Journal for Numerical Methods in Biomedical Engineering 17 Applied Mathematics and Optimization 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Communications in Nonlinear Science and Numerical Simulation 17 Discrete and Continuous Dynamical Systems. Series B 16 Applied Numerical Mathematics 16 Communications in Numerical Methods in Engineering 16 Journal of Applied Mechanics and Technical Physics 16 Analysis and Applications (Singapore) 15 Linear Algebra and its Applications 15 Journal of Mathematical Sciences (New York) 15 Journal of Vibration and Control 14 Journal of Fluid Mechanics 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 European Journal of Applied Mathematics 14 Boundary Value Problems 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Mathematics of Computation 12 Prikladnaya Matematika i Mekhanika 12 Numerische Mathematik 12 RAIRO. Modélisation Mathématique et Analyse Numérique 12 Journal of Scientific Computing 12 Journal of Global Optimization 12 NoDEA. Nonlinear Differential Equations and Applications 12 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 12 Nonlinear Analysis. Theory, Methods & Applications 12 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 Ingenieur-Archiv 11 Numerical Functional Analysis and Optimization 11 Nonlinear Dynamics 11 Communications on Pure and Applied Analysis 11 International Journal for Computational Methods in Engineering Science and Mechanics 10 International Journal for Numerical and Analytical Methods in Geomechanics 10 International Journal of Plasticity 10 Journal of Integral Equations and Applications 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Journal of Applied Mathematics 10 Sādhanā 10 International Journal of Applied and Computational Mathematics 9 Journal of Geometry and Physics 9 Journal of Functional Analysis ...and 331 more Journals
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#### Cited in 56 Fields

 7,189 Mechanics of deformable solids (74-XX) 1,478 Partial differential equations (35-XX) 680 Numerical analysis (65-XX) 503 Fluid mechanics (76-XX) 502 Calculus of variations and optimal control; optimization (49-XX) 387 Biology and other natural sciences (92-XX) 291 Classical thermodynamics, heat transfer (80-XX) 212 Statistical mechanics, structure of matter (82-XX) 194 Integral equations (45-XX) 171 Differential geometry (53-XX) 167 Linear and multilinear algebra; matrix theory (15-XX) 139 Operator theory (47-XX) 107 Mechanics of particles and systems (70-XX) 100 Optics, electromagnetic theory (78-XX) 91 Real functions (26-XX) 83 Ordinary differential equations (34-XX) 80 Systems theory; control (93-XX) 71 Operations research, mathematical programming (90-XX) 58 Global analysis, analysis on manifolds (58-XX) 54 Dynamical systems and ergodic theory (37-XX) 45 Functional analysis (46-XX) 44 Functions of a complex variable (30-XX) 44 Geophysics (86-XX) 40 Potential theory (31-XX) 28 History and biography (01-XX) 23 Measure and integration (28-XX) 23 Integral transforms, operational calculus (44-XX) 23 Computer science (68-XX) 21 Topological groups, Lie groups (22-XX) 19 Approximations and expansions (41-XX) 18 Probability theory and stochastic processes (60-XX) 17 Statistics (62-XX) 16 General and overarching topics; collections (00-XX) 15 Special functions (33-XX) 15 Quantum theory (81-XX) 15 Information and communication theory, circuits (94-XX) 14 Relativity and gravitational theory (83-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Convex and discrete geometry (52-XX) 10 Manifolds and cell complexes (57-XX) 8 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 4 Combinatorics (05-XX) 4 Field theory and polynomials (12-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)