Mathematics and Mechanics of Solids Short Title: Math. Mech. Solids Publisher: SAGE Publications, Thousand Oaks, CA ISSN: 1081-2865; 1741-3028/e Online: https://journals.sagepub.com/loi/MMS Comments: Journal Documents Indexed: 1,696 Publications (since 1996) References Indexed: 1,466 Publications with 46,362 References. all top 5 Latest Issues 27, No. 11 (2022) 27, No. 10 (2022) 27, No. 9 (2022) 27, No. 8 (2022) 27, No. 7 (2022) 27, No. 6 (2022) 27, No. 5 (2022) 27, No. 4 (2022) 27, No. 3 (2022) 27, No. 2 (2022) 27, No. 1 (2022) 26, No. 12 (2021) 26, No. 11 (2021) 26, No. 10 (2021) 26, No. 9 (2021) 26, No. 8 (2021) 26, No. 7 (2021) 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 12 (2020) 25, No. 11 (2020) 25, No. 10 (2020) 25, No. 9 (2020) 25, No. 8 (2020) 25, No. 7 (2020) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 12 (2019) 24, No. 11 (2019) 24, No. 10 (2019) 24, No. 9 (2019) 24, No. 8 (2019) 24, No. 7 (2019) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 12 (2018) 23, No. 11 (2018) 23, No. 10 (2018) 23, No. 9 (2018) 23, No. 8 (2018) 23, No. 7 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 12 (2017) 22, No. 11 (2017) 22, No. 10 (2017) 22, No. 9 (2017) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 10 (2016) 21, No. 9 (2016) 21, No. 8 (2016) 21, No. 7 (2016) 21, No. 6 (2016) 21, No. 5 (2016) 21, No. 4 (2016) 21, No. 3 (2016) 21, No. 2 (2016) 21, No. 1 (2016) 20, No. 10 (2015) 20, No. 9 (2015) 20, No. 8 (2015) 20, No. 7 (2015) 20, No. 6 (2015) 20, No. 5 (2015) 20, No. 4 (2015) 20, No. 3 (2015) 20, No. 2 (2015) 20, No. 1 (2015) 19, No. 8 (2014) 19, No. 7 (2014) 19, No. 6 (2014) 19, No. 5 (2014) 19, No. 4 (2014) 19, No. 3 (2014) 19, No. 2 (2014) 19, No. 1 (2014) 18, No. 8 (2013) ...and 105 more Volumes all top 5 Authors 39 Schiavone, Peter 28 Wang, Xu 26 Rajagopal, Kumbakonam Ramamani 21 Wineman, Alan S. 20 Giorgio, Ivan 19 Mukhopadhyay, Santwana 19 Pruchnicki, Erick 19 Steigmann, David J. 18 Neff, Patrizio 16 Saccomandi, Giuseppe 15 dell’Isola, Francesco 14 Hill, James Murray 14 Steinmann, Paul 13 Epstein, Marcelo 13 Placidi, Luca 12 Eremeyev, Victor A. 12 Ericksen, Jerald Laverne 12 Iesan, Dorin 12 Kaplunov, Julius D. 12 Ogden, Raymond William 12 Quintanilla de Latorre, Ramón 11 Barchiesi, Emilio 11 Constanda, Christian 11 Dai, Hui-Hui 11 Šilhavý, Miroslav 11 Turco, Emilio 10 Casey, James 10 Cazzani, Antonio M. 10 Madeo, Angela 10 Potapenko, Stanislav 10 Spagnuolo, Mario 9 Beatty, Millard F. jun. 9 Bustamante, Roger 9 Ganghoffer, Jean-François 9 Gao, Xinlin 9 Goriely, Alain 9 Javili, Ali 9 Murphy, Jeremiah G. 9 Segev, Reuven 8 Batra, Romesh C. 8 Chen, Weiqiu 8 Della Corte, Alessandro 8 Gao, Cun-Fa 8 Grillo, Alfio 8 Horgan, Cornelius Oliver 8 Mi, Changwen 8 Paroni, Roberto 8 Scott, Nigel H. 8 Sofonea, Mircea 8 Vigdergauz, Shmuel 7 Dai, Ming 7 Elishakoff, Isaac 7 Federico, Salvatore 7 Prikazchikov, Danila A. 7 Ru, Chong-Qing 7 Ting, Thomas C. T. 7 Wheeler, Lewis T. 6 Andreaus, Ugo A. 6 Bersani, Alberto Maria 6 Buryachenko, Valeriy A. 6 Chudinovich, Igor Yuryevich 6 Cleja-Țigoiu, Sanda 6 Enakoutsa, Koffi 6 Jiang, Qing 6 Kumar, Ajeet 6 Luongo, Angelo 6 Markenscoff, Xanthippi 6 Matei, Andaluzia Cristina 6 Maugin, Gérard A. 6 Ostoja-Starzewski, Martin 6 Oterkus, Erkan 6 Oterkus, Selda 6 Scerrato, Daria 6 Sfyris, Dimitris 6 Sherief, Hany H. 6 Tambača, Josip 6 Yavari, Arash 6 Yildizdag, M. Erden 5 Agrawal, Ashutosh 5 Băeşu, Eveline A. 5 Boulanger, Philippe 5 Carroll, Michael M. 5 Chatzigeorgiou, George 5 Ciallella, Alessandro 5 Coman, Ciprian D. 5 Destrade, Michel 5 Erbaş, Bariş 5 Fosdick, Roger L. 5 Fu, Yibin 5 Ghiba, Ionel-Dumitrel 5 Hayes, Michael Alphonsus 5 Kim, Chun Il 5 Kouris, Demitris A. 5 Lebedev, Leonid Petrovich 5 Merodio, Jose 5 Mioduchowski, Andrew 5 Misra, Anil 5 O’Reilly, Oliver Mary 5 Papadopoulos, Panayiotis 5 Pence, Thomas J. ...and 2,005 more Authors all top 5 Fields 1,630 Mechanics of deformable solids (74-XX) 69 Partial differential equations (35-XX) 45 History and biography (01-XX) 43 Biology and other natural sciences (92-XX) 36 Mechanics of particles and systems (70-XX) 32 Classical thermodynamics, heat transfer (80-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Fluid mechanics (76-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 11 Real functions (26-XX) 10 General and overarching topics; collections (00-XX) 6 Functions of a complex variable (30-XX) 5 Topological groups, Lie groups (22-XX) 5 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,185 Publications have been cited 7,390 times in 4,486 Documents Cited by ▼ Year ▼ Truss modular beams with deformation energy depending on higher displacement gradients. Zbl 1039.74028 Alibert, Jean-Jacques; Seppecher, Pierre; Dell’Isola, Francesco 186 2003 At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. Zbl 1330.74006 dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca 167 2015 Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008 Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G. 95 2015 Higher-gradient continua: the legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives. Zbl 1371.74024 Dell’isola, Francesco; Della Corte, Alessandro; Giorgio, Ivan 89 2017 Isogeometric analysis of plane-curved beams. Zbl 1370.74084 Cazzani, Antonio; Malagù, Marcello; Turco, Emilio 79 2016 Conspectus of concepts of elasticity. Zbl 1269.74014 Rajagopal, K. R. 72 2011 On the elliptic inclusion in anti-plane shear. Zbl 1001.74509 Ru, Chong-Qing; Schiavone, Peter 63 1996 Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047 Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela 63 2014 Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051 Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio 58 2016 Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591 Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano 57 1999 Moore-Gibson-Thompson thermoelasticity. Zbl 07273404 Quintanilla, Ramón 57 2019 Mechanical metamaterials: a state of the art. Zbl 1425.74036 Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca 52 2019 Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009 Jeong, Jena; Neff, Patrizio 50 2010 An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021 Gockenbach, Mark S.; Khan, Akhtar A. 48 2007 On the Cauchy-Born rule. Zbl 1161.74305 Ericksen, J. L. 43 2008 Peridynamics review. Zbl 07273389 Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda 43 2019 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013 Emmrich, Etienne; Weckner, Olaf 42 2007 Nonlinear viscoelastic solids – a review. Zbl 1197.74021 Wineman, A. 42 2009 Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026 Rajagopal, K. R. 39 2011 Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158 Han, Weimin 39 2018 Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. Zbl 1446.74171 Barchiesi, Emilio; Eugster, Simon R.; dell’isola, Francesco; Hild, François 38 2020 Stress-modulated growth. Zbl 1149.74040 Ambrosi, D.; Guana, F. 36 2007 Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003 Eremeyev, Victor A.; Pietraszkiewicz, Wojciech 36 2016 The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe 36 2015 Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004 Braides, Andrea; Gelli, Maria Stella 36 2002 On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033 Bustamante, R.; Dorfmann, A.; Ogden, R. W. 34 2008 Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610 Healey, T. J. 33 2002 A complete dynamic approach to the generalized beam theory cross-section analysis including extension and shear modes. Zbl 1299.74109 Piccardo, Giuseppe; Ranzi, Gianluca; Luongo, Angelo 33 2014 A rate-independent approach to the delamination problem. Zbl 1133.74038 Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš 32 2006 A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022 Bustamante, R.; Rajagopal, K. R. 32 2010 On the evolution of plasticity and incompatibility. Zbl 1133.74009 Gupta, Anurag; Steigmann, David J.; Stölken, James S. 31 2007 A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007 AminPour, H.; Rizzi, N. 31 2016 Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds. Zbl 07254358 Feng, Baowei; Yin, Mingyang 31 2019 On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002 Sadik, Souhayl; Yavari, Arash 30 2017 On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019 Holzapfel, Gerhard A.; Ogden, Ray W. 29 2009 Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012 Horgan, Cornelius O.; Saccomandi, Giuseppe 28 2002 Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060 Bîrsan, Mircea; Neff, Patrizio 27 2014 In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885 Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria 27 2021 On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588 Steigmann, D. J. 25 1999 Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105 Placidi, Luca; El Dhaba, Amr Ramadan 25 2017 Variational formulations, model comparisons and numerical methods for Euler-Bernoulli micro- and nano-beam models. Zbl 1425.74264 Niiranen, J.; Balobanov, V.; Kiendl, J.; Hosseini, SB 25 2019 Uniform fields inside two non-elliptical inclusions. Zbl 07278887 Wang, Xu 25 2012 Positive definiteness of anisotropic elastic constants. Zbl 1001.74511 Ting, T. C. T. 24 1996 Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303 Cazacu, Oana; Barlat, Frédéric 24 2001 Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006 Saccomandi, Giuseppe; Beatty, Millard F. 24 2002 Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 24 2017 A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105 Giorgio, Ivan 24 2020 An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048 Gockenbach, Mark S.; Khan, Akhtar A. 24 2009 Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018 Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J. 23 2008 Theory of linearly elastic residually stressed plates. Zbl 1093.74039 Paroni, Roberto 23 2006 Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012 Hassanpour, Soroosh; Heppler, Glenn R. 23 2017 On fractional thermoelasticity. Zbl 1269.74055 El-Karamany, Ahmed S.; Ezzat, Magdy A. 23 2011 On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052 Steigmann, David J. 23 2009 Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012 Steigmann, David J. 22 2003 Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464 Dai, Hui-Hui; Fan, Xiaojun 22 2004 Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257 Misra, Anil; Poorsolhjouy, Payam 22 2020 A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale. Zbl 1197.74010 Sendova, T.; Walton, J. R. 22 2010 On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015 Beatty, Millard F. 21 2008 The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515 Chadwick, P. 21 1997 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100 Khludnev, A. M.; Leugering, G. R. 21 2015 Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193 Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore 21 2015 A two-dimensional peridynamic model for thin plates. Zbl 1330.74111 Taylor, Michael; Steigmann, David J. 21 2015 A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267 Spagnuolo, Mario; Andreaus, Ugo 21 2019 A clarification of the role of crack-tip conditions in linear elasticity with surface effects. Zbl 1528.74005 Kim, Ci; Ru, C.-Q.; Schiavone, P. 21 2013 Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023 Ebobisse, François; Neff, Patrizio 21 2010 On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069 Sauer, Roger A.; Duong, Thang X. 20 2017 Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060 Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro 20 2016 Uniform strain fields inside multiple inclusions in an elastic infinite plane under anti-plane shear. Zbl 1371.74027 Dai, Ming; Ru, C. Q.; Gao, Cun-Fa 20 2017 Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203 Khludnev, A. M.; Faella, L.; Popova, T. S. 20 2017 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014 Yavari, Arash; Goriely, Alain 20 2013 Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005 Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. 20 2021 Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426 Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca 20 2021 Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566 Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. 19 1999 Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065 Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 19 2014 A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027 Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne 19 2001 Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701 Feng, Baowei; Soufyane, Abdelaziz 19 2020 Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031 Magaña, A.; Quintanilla, R. 19 2009 Must elastic materials be hyperelastic? Zbl 1257.74017 Carroll, M. M. 19 2009 On the theory of viscoelastic mixtures and stability. Zbl 1175.74028 Ieşan, D.; Nappa, L. 18 2008 Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025 Mielke, Alexander 18 2004 A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions. Zbl 1371.74003 Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo 18 2017 Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266 Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco 18 2020 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032 Bulíček, M.; Málek, J.; Süli, E. 17 2015 Swelling-induced cavitation of elastic spheres. Zbl 1141.74014 Pence, Thomas J.; Tsai, Hungyu 17 2006 Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007 Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J. 17 2001 Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. Zbl 07254367 Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah 17 2019 A Galerkin method for Biot consolidation model. Zbl 1197.74183 Owczarek, Sebastian 17 2010 On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028 Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. 17 2018 Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048 Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte 16 2015 A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003 Kannan, K.; Rajagopal, K. R. 16 2004 Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007 Steigmann, David J. 16 2002 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003 Aguiar, Adair R.; Fosdick, Roger 16 2014 Euromech 563 Cisterna di Latina 17-21 March 2014. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Zbl 1370.74007 Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria 16 2017 Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143 Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio 16 2020 Analytical solution for a pressurized thick-walled spherical shell based on a simplified strain gradient elasticity theory. Zbl 1197.74068 Gao, X.-L.; Park, S. K.; Ma, H. M. 16 2009 Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039 Khludnev, Alexander M.; Shcherbakov, Viktor V. 16 2017 Modeling of a non-local stimulus for bone remodeling process under cyclic load: application to a dental implant using a bioresorbable porous material. Zbl 1391.74156 Giorgio, Ivan; Andreaus, Ugo; Scerrato, Daria; Braidotti, Piero 16 2017 Qualitative properties in strain gradient thermoelasticity with microtemperatures. Zbl 1391.74059 Ieşan, Dorin; Quintanilla, Ramon 16 2018 Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306 Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C. 15 2008 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002 Lawrie, Jane B.; Kaplunov, Julius 15 2012 Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach. Zbl 07601695 Spagnuolo, Mario; Yildizdag, M. Erden; Pinelli, Xavier; Cazzani, Antonio; Hild, François 10 2022 A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams. Zbl 07590412 Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco 9 2022 Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Zbl 07590438 Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio 7 2022 On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains. Zbl 07590432 Eremeyev, Victor A.; dell’Isola, Francesco 6 2022 In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Zbl 07601703 Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco 6 2022 Two-field variational formulations for a class of nonlinear mechanical models. Zbl 07619149 Matei, Andaluzia; Osiceanu, Madalina 5 2022 Electrical analogs of curved beams and application to piezoelectric network damping. Zbl 07601664 Darleux, Robin; Lossouarn, Boris; Giorgio, Ivan; Dell’isola, Francesco; Deü, Jean-François 5 2022 Variety of fiber orientation tensors. Zbl 07601704 Bauer, Julian Karl; Böhlke, Thomas 5 2022 Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory. Zbl 07590414 Merzouki, Tarek; Ahmed, Houari Mohammed Sid; Bessaim, Aicha; Haboussi, Mohamed; Dimitri, Rossana; Tornabene, Francesco 4 2022 Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders. Zbl 07590417 Zhang, B.; Wang, X. H.; Elmaimouni, L.; Yu, J. G.; Zhang, X. M. 4 2022 A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. Zbl 07590424 Yoon, Hyun C.; Mallikarjunaiah, S. M. 4 2022 A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Zbl 07601714 Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan 4 2022 An updated Lagrangian Bézier finite element formulation for the analysis of slender beams. Zbl 07619127 Greco, Leopoldo; Cuomo, Massimo; Castello, Domenico; Scrofani, Angelo 3 2022 Characterization of the symmetry class of an elasticity tensor using polynomial covariants. Zbl 07590418 Olive, Marc; Kolev, Boris; Desmorat, Rodrigue; Desmorat, Boris 3 2022 Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary. Zbl 07590427 Zemlyanova, Anna Y.; White, Lauren M. 3 2022 On the extension of the mode-matching procedure for modeling a wave-bearing cavity. Zbl 07590428 Bilal, Hazrat; Afzal, Muhammad 3 2022 Quadratic-stretch elasticity. Zbl 07590434 Vitral, E.; Hanna, J. A. 3 2022 Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields. Zbl 07619113 Wang, Xu; Schiavone, Peter 2 2022 Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas. Zbl 07619117 Turco, Emilio 2 2022 Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables. Zbl 07619123 Fedele, Roberto 2 2022 The effect of local random defects on the response of pantographic sheets. Zbl 07619129 La Valle, Gabriele; Ciallella, Alessandro; Falsone, Giovanni 2 2022 A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method. Zbl 07619133 Shekarchizadeh, Navid; Abali, Bilen Emek; Bersani, Alberto Maria 2 2022 On variational principles in coupled strain-gradient elasticity. Zbl 07619135 Nazarenko, Lidiia; Glüge, Rainer; Altenbach, Holm 2 2022 Homogenization of the wave equation with non-uniformly oscillating coefficients. Zbl 07619139 Shahraki, Danial P.; Guzina, Bojan B. 2 2022 Characteristic foliations of material evolution: from remodeling to aging. Zbl 07619141 Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo 2 2022 Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory. Zbl 07601663 Danesh, Hooman; Javanbakht, Mahdi 2 2022 Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates. Zbl 07601665 Nasimsobhan, Maryam; Ganghoffer, Jean-François; Shamshirsaz, Mahnaz 2 2022 Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control. Zbl 07601697 Rizzi, Gianluca; D’Agostino, Marco Valerio; Neff, Patrizio; Madeo, Angela 2 2022 Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Zbl 07601723 Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan 2 2022 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729 Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 2 2022 Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory. Zbl 07619120 Aydin, Gokhan; Sarar, B. Cagri; Yildizdag, M. Erden; Abali, B. Emek 1 2022 Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: numerical modeling and experiments. Zbl 07619130 Ciallella, Alessandro; Pasquali, Davide; D’Annibale, Francesco; Giorgio, Ivan 1 2022 Matrix-embedded metamaterials: applications for the architectural heritage. Zbl 07619136 Spagnuolo, Mario; Reccia, Emanuele; Ciallella, Alessandro; Cazzani, Antonio 1 2022 Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization. Zbl 07619137 Alavi, S. Ehsan; Ganghoffer, Jean-François; Sadighi, Mojtaba 1 2022 Decomposition of third-order constitutive tensors. Zbl 07590421 Itin, Yakov; Reches, Shulamit 1 2022 Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains. Zbl 07590425 Almeida Júnior, D. S.; Ramos, A. J. A.; Freitas, M. M.; Dos Santos, M. J.; El Arwadi, T. 1 2022 Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip. Zbl 07590429 Yang, Wenzhi; Pourasghar, Amin; Chen, Zengtao 1 2022 The effect of surface free energy on the fracture behaviors of nanoparticle-reinforced composites. Zbl 07590433 Zhang, Y. M.; Fan, M.; Xiao, Z. M.; Zhang, W. G. 1 2022 Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings. Zbl 07590435 Rodriguez, Casey 1 2022 Study on the generalized \(k\)-Hilfer-Prabhakar fractional viscoelastic-plastic model. Zbl 07590436 Feng, Yi-Ying; Yang, Xiao-Jun; Liu, Jian-Gen; Chen, Zhan-Qing 1 2022 The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads. Zbl 07601667 Nart, E.; Alinia, Y.; Güler, M. A. 1 2022 A study on an incompressible polymeric pressurized vessel subjected to bulk degradation. Zbl 07601668 Kazemian, M.; Goudarzi, A. Moazemi; Hassani, A. 1 2022 A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties. Zbl 07601669 Stilz, Maximilian; Plappert, David; Gutmann, Florian; Hiermaier, Stefan 1 2022 On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. Zbl 07601670 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 1 2022 Anisotropic imperfect interface in elastic particulate composite with initial stress. Zbl 07601689 Kushch, Volodymyr I.; Mogilevskaya, Sofia G. 1 2022 Finsler differential geometry in continuum mechanics: fundamental concepts, history, and renewed application to ferromagnetic solids. Zbl 07601691 Clayton, John D. 1 2022 Letters of S. P. Timoshenko to V. I. Vernadsky recently discovered at Columbia University’s library, with analysis of his attitudes. Zbl 07601692 Elishakoff, Isaac 1 2022 History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems. Zbl 07601696 Hao, Jianwei; Wang, Jinrong; Han, Jiangfeng 1 2022 On tangent geometry and generalised continuum with defects. Zbl 07601708 Nguyen, Van Hoi; Casale, Guy; Le Marrec, Loïc 1 2022 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719 Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 1 2022 Axisymmetric necking versus Treloar-Kearsley instability in a hyperelastic sheet under equibiaxial stretching. Zbl 07601727 Wang, Mi; Jin, Lishuai; Fu, Yibin 1 2022 Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings. Zbl 07601733 Zubov, Leonid; Karyakin, Mikhail 1 2022 Veering of Rayleigh-Lamb waves in orthorhombic materials. Zbl 07601738 Nobili, Andrea; Erbaş, Bariş; Signorini, Cesare 1 2022 Asymptotically correct boundary conditions for the higher-order theory of plate bending. Zbl 07601740 Wilde, Maria V.; Surova, Maria Yu; Sergeeva, Nadezhda V. 1 2022 In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885 Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria 27 2021 Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005 Spagnuolo, Mario; Yildizdag, M. 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Zbl 07589901 Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón 6 2021 On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization. Zbl 07589905 Mandadapu, Kranthi K.; Abali, B. Emek; Papadopoulos, Panayiotis 6 2021 On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials. Zbl 07589910 Anssari-Benam, Afshin 6 2021 Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme). Zbl 1486.74003 Mühlich, Uwe; Abali, Bilen Emek; dell’Isola, Francesco 5 2021 Influence of non-local diffusion in avascular tumour growth. Zbl 07582897 Ramírez-Torres, Ariel; Di Stefano, Salvatore; Grillo, Alfio 5 2021 Local material symmetry group for first- and second-order strain gradient fluids. Zbl 07582892 Eremeyev, Victor A. 4 2021 A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. Zbl 07589899 Davoli, Elisa; Roubček, Tomáš; Stefanelli, Ulisse 4 2021 A note on viscoelastic bodies whose material properties depend on the density. Zbl 07589914 Rajagopal, K. R.; Wineman, A. 4 2021 On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. Zbl 07357399 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 3 2021 A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects. Zbl 07582898 Zhang, Gy; Gao, X.-L. 3 2021 Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects. Zbl 07357395 Demirkuş, Dilek 2 2021 A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400 Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav 2 2021 High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales. Zbl 07357434 Dong, Hao; Cui, Junzhi; Nie, Yufeng; Jin, Ke; Guan, Xiaofei; Yang, Zihao 2 2021 A simplified metaelastic model for coated sphere-filled random composites. Zbl 07582878 Ru, C. Q. 2 2021 Linear peridynamics for triclinic materials. Zbl 07582881 Mikata, Yozo 2 2021 Analysis of randomly damaged triangular beam lattice: elastic field and effective properties. Zbl 07582895 Ryvkin, Michael; Cherkaev, Andrej 2 2021 A new approach to curvature measures in linear shell theories. Zbl 07582896 Šilhavý, Miroslav 2 2021 Variational principles of nonlinear magnetoelastostatics and their correspondences. Zbl 07589897 Sharma, Basant Lal; Saxena, Prashant 2 2021 Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis. Zbl 07589902 Laudato, M.; Manzari, L.; Giorgio, I.; Spagnuolo, M.; Göransson, P. 2 2021 Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder. Zbl 07589912 Sherief, Hany H.; Elhagary, Mohammed A. 2 2021 On the statics and dynamics of granular-microstructured rods with higher order effects. Zbl 07589920 Nejadsadeghi, Nima; Misra, Anil 2 2021 Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure. Zbl 1486.74013 Temesgen, Ag; Singh, Sb; Pankaj, T. 1 2021 The Neumann problem in plane deformations of a micropolar elastic solid with micropolar surface effects. Zbl 1486.74006 Gharahi, Alireza; Schiavone, Peter 1 2021 An analysis of lipid membrane morphology in the presence of coordinate-dependent non-uniformity. Zbl 1486.74091 Yao, Wenhao; Kim, Chun Il 1 2021 Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059 Ege, Nihal; Erbaş, Barış; Kaplunov, Julius 1 2021 Ramberg-Osgood material behavior expression and large deflections of Euler beams. Zbl 07357397 Giardina, Ronald J.; Wei, Dongming 1 2021 Periodic tilings and auxetic deployments. Zbl 07357398 Borcea, Ciprian S.; Streinu, Ileana 1 2021 Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory. Zbl 07357401 Gad, A. I.; Gao, X-L 1 2021 Four states of matter and centrally symmetric de Broglie particle-wave mechanical systems. Zbl 07357402 Hill, James M. 1 2021 Local gradient Bernoulli-Euler beam model for dielectrics: effect of local mass displacement on coupled fields. Zbl 07357413 Hrytsyna, Olha 1 2021 Compatibility conditions of continua using Riemann-Cartan geometry. Zbl 07357414 Böhmer, Christian G.; Lee, Yongjo 1 2021 A state-based peridynamic formulation for functionally graded Kirchhoff plates. Zbl 07357415 Yang, Zhenghao; Oterkus, Erkan; Oterkus, Selda 1 2021 Electric features of dislocations and electric force between dislocations. Zbl 07357419 Huang, Yuanjie 1 2021 A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects. Zbl 07357423 Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca 1 2021 ...and 1085 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,992 Authors 90 Neff, Patrizio 86 Schiavone, Peter 77 Quintanilla de Latorre, Ramón 71 Wang, Xu 68 Rajagopal, Kumbakonam Ramamani 52 dell’Isola, Francesco 44 Eremeyev, Victor A. 44 Fernández, Jose Ramon 41 Giorgio, Ivan 41 Sofonea, Mircea 41 Steinmann, Paul 40 Placidi, Luca 39 Bustamante, Roger 38 Steigmann, David J. 37 Barchiesi, Emilio 34 Madeo, Angela 34 Turco, Emilio 33 Mukhopadhyay, Santwana 33 Saccomandi, Giuseppe 31 Ghiba, Ionel-Dumitrel 31 Goriely, Alain 29 Khan, Akhtar Ali 29 Wineman, Alan S. 28 Horgan, Cornelius Oliver 27 Ogden, Raymond William 26 Yavari, Arash 25 Khludnev, Aleksandr Mikhaĭlovich 23 Bazarra, Noelia 23 Dai, Ming 22 Han, Weimin 22 Roubíček, Tomáš 21 Dai, Hui-Hui 21 Matei, Andaluzia Cristina 21 Migórski, Stanisław 20 Ganghoffer, Jean-François 20 Gao, Xinlin 20 Grillo, Alfio 20 Javili, Ali 20 Merodio, Jose 20 Misra, Anil 19 Jadamba, Baasansuren 19 Kanoria, Mridula 19 Murphy, Jeremiah G. 19 Paroni, Roberto 18 Bîrsan, Mircea 18 Destrade, Michel 18 Federico, Salvatore 17 Abali, Bilen Emek 17 Della Corte, Alessandro 17 Lazarev, Nyurgun Petrovich 17 Pence, Thomas J. 17 Potapenko, Stanislav 17 Pruchnicki, Erick 17 Sur, Abhik 16 Constanda, Christian 16 Ostoja-Starzewski, Martin 16 Rizzi, Nicola Luigi 16 Sama, Miguel 15 Mondal, Sudip 15 Rosi, Giuseppe A. 15 Sauer, Roger A. 15 Spagnuolo, Mario 15 Tambača, Josip 14 Acharya, Amit 14 Andreaus, Ugo A. 14 Ansari, Reza 14 Eugster, Simon Raphael 14 Gao, Cun-Fa 14 Kaplunov, Julius D. 14 Kovtunenko, Viktor Anatolievich 14 Kumar, Ajeet 14 Málek, Josef 14 Stefanelli, Ulisse 14 Zeng, Shengda 13 Altenbach, Holm 13 Cazzani, Antonio M. 13 Chen, Weiqiu 13 Cuomo, Massimo 13 Epstein, Marcelo 13 Gil, Antonio J. 13 Greco, Leopoldo 13 Kružík, Martin 13 Ortigosa, Rogelio 13 Owen, David Ross 13 Piersanti, Paolo 13 Sfyris, Dimitris 13 Solyaev, Yury O. 13 Tarantino, Angelo Marcello 13 Tomassetti, Giuseppe 13 Truskinovsky, Lev 13 Xiao, Yibin 13 Zhang, Gongye 12 Andrianov, Igor Vasil’evich 12 Batra, Romesh C. 12 Bersani, Alberto Maria 12 Ciallella, Alessandro 12 Coman, Ciprian D. 12 Feng, Baowei 12 Iesan, Dorin 12 Lurie, Sergey A. ...and 4,892 more Authors all top 5 Cited in 328 Journals 619 Mathematics and Mechanics of Solids 263 Acta Mechanica 261 Journal of Elasticity 240 International Journal of Engineering Science 215 Computer Methods in Applied Mechanics and Engineering 208 ZAMP. Zeitschrift für angewandte Mathematik und Physik 154 Journal of the Mechanics and Physics of Solids 153 European Journal of Mechanics. A. Solids 141 Continuum Mechanics and Thermodynamics 131 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 91 Applied Mathematical Modelling 82 Meccanica 76 Wave Motion 71 Computational Mechanics 49 International Journal of Solids and Structures 49 Journal of Engineering Mathematics 46 Archive for Rational Mechanics and Analysis 41 Mathematics and Mechanics of Complex Systems 40 Journal of Mathematical Analysis and Applications 39 Mathematical Methods in the Applied Sciences 38 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 34 Waves in Random and Complex Media 33 Journal of Computational and Applied Mathematics 32 Applicable Analysis 31 Journal of Computational Physics 30 AMM. Applied Mathematics and Mechanics. (English Edition) 28 Applied Mathematics and Computation 28 Engineering Analysis with Boundary Elements 28 Nonlinear Analysis. Real World Applications 27 Computers & Mathematics with Applications 27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 25 International Journal for Numerical Methods in Engineering 25 SIAM Journal on Applied Mathematics 25 Archive of Applied Mechanics 23 Journal of Nonlinear Science 23 Communications in Nonlinear Science and Numerical Simulation 19 Nonlinear Dynamics 18 International Journal of Plasticity 18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 16 Discrete and Continuous Dynamical Systems. Series S 15 Quarterly of Applied Mathematics 15 Applied Mathematics Letters 15 SIAM Journal on Mathematical Analysis 14 Mathematical Problems in Engineering 14 Lobachevskii Journal of Mathematics 14 Philosophical Transactions of the Royal Society of London. A. 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Académie des Sciences, Paris 10 Theoretical and Applied Mechanics 10 International Journal of Fracture 10 Evolution Equations and Control Theory 9 Journal of Mathematical Sciences (New York) 9 Mediterranean Journal of Mathematics 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 Journal of Applied Mathematics and Mechanics 8 Journal of Mathematical Physics 8 Acta Applicandae Mathematicae 8 Optimization 8 Asymptotic Analysis 8 Journal of Scientific Computing 8 GAMM-Mitteilungen 8 Journal of Theoretical Biology 7 Journal of Optimization Theory and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Numerical Mathematics 7 Computational and Applied Mathematics 7 Journal of Applied Mechanics and Technical Physics 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Nonlinear and Variational Analysis 7 Mathematics in Engineering 6 Mechanics Research Communications 6 Numerical Functional Analysis and Optimization 6 Applied Mathematics and Mechanics. (English Edition) 6 Applications of Mathematics 6 Archives of Computational Methods in Engineering 5 Applied Mathematics and Optimization 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Computational Mathematics and Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Scientific Computing 5 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 5 Mathematical Modelling and Analysis 5 Communications on Pure and Applied Analysis 5 International Journal of Computational Methods 5 Boundary Value Problems 5 Inverse Problems in Science and Engineering 5 Networks and Heterogeneous Media 5 Advances in Mathematical Physics 5 Advances in Applied Mathematics and Mechanics 4 Inverse Problems 4 Journal of Fluid Mechanics 4 Reports on Mathematical Physics ...and 228 more Journals all top 5 Cited in 53 Fields 3,938 Mechanics of deformable solids (74-XX) 789 Partial differential equations (35-XX) 343 Numerical analysis (65-XX) 286 Calculus of variations and optimal control; optimization (49-XX) 254 Fluid mechanics (76-XX) 216 Biology and other natural sciences (92-XX) 142 Statistical mechanics, structure of matter (82-XX) 115 Mechanics of particles and systems (70-XX) 112 Classical thermodynamics, heat transfer (80-XX) 87 Differential geometry (53-XX) 78 Operator theory (47-XX) 59 Optics, electromagnetic theory (78-XX) 53 Ordinary differential equations (34-XX) 50 Integral equations (45-XX) 47 Real functions (26-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 44 Systems theory; control (93-XX) 33 Dynamical systems and ergodic theory (37-XX) 28 Operations research, mathematical programming (90-XX) 25 Functional analysis (46-XX) 24 History and biography (01-XX) 24 Functions of a complex variable (30-XX) 24 Global analysis, analysis on manifolds (58-XX) 15 Measure and integration (28-XX) 15 Probability theory and stochastic processes (60-XX) 15 Geophysics (86-XX) 14 Quantum theory (81-XX) 13 Computer science (68-XX) 11 Topological groups, Lie groups (22-XX) 11 Statistics (62-XX) 10 Special functions (33-XX) 9 General and overarching topics; collections (00-XX) 9 Potential theory (31-XX) 8 Integral transforms, operational calculus (44-XX) 7 Relativity and gravitational theory (83-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year