Edit Profile (opens in new tab) Knowles, James K. Co-Author Distance Author ID: knowles.james-k Published as: Knowles, James K.; Knowles, J. K.; Knowles, James more...less External Links: MGP Documents Indexed: 90 Publications since 1957, including 1 Book Biographic References: 1 Publication Co-Authors: 17 Co-Authors with 53 Joint Publications 312 Co-Co-Authors all top 5 Co-Authors 37 single-authored 22 Abeyaratne, Rohan C. 11 Sternberg, Eli 5 Horgan, Cornelius Oliver 4 Reissner, Eric 2 Ahrens, Thomas J. 2 Rosakis, Phoebus 1 Bhattacharya, Kaushik 1 Jakub, M. T. 1 Jeffers, R. F. 1 Jiang, Qing 1 Kim, Sang-Joo 1 Messick, Roger E. 1 Rosakis, Ares J. 1 Scott, Ronald F. 1 Wang, Neng-Ming 1 Winfree, Nancy A. 1 Yang, W. all top 5 Serials 17 Journal of Elasticity 9 Archive for Rational Mechanics and Analysis 5 International Journal of Solids and Structures 5 Journal of Applied Mechanics 5 Journal of the Mechanics and Physics of Solids 5 Quarterly of Applied Mathematics 3 International Journal of Mathematical Education in Science and Technology 3 Shock Waves 3 SIAM Journal on Applied Mathematics 3 Journal of Mathematics and Physics 2 Journal of the Australian Mathematical Society, Series B 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics and Mechanics of Solids 1 American Mathematical Monthly 1 Ingenieur-Archiv 1 International Journal of Non-Linear Mechanics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Acoustical Society of America 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mechanics Research Communications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Utilitas Mathematica 1 Physica D 1 Computational Mechanics 1 Linear Algebra and its Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Hyperbolic Differential Equations 1 Advances in Applied Mechanics all top 5 Fields 67 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 8 Partial differential equations (35-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 1,702 times in 1,048 Documents Cited by ▼ Year ▼ Kinetic relations and the propagation of phase boundaries in solids. Zbl 0745.73001 Abeyaratne, Rohan; Knowles, James K. 144 1991 Recent developments concerning Saint-Venant’s principle. Zbl 0569.73010 Horgan, Cornelius O.; Knowles, James K. 143 1983 On a class of conservation laws in linearized and finite elastostatics. Zbl 0232.73017 Knowles, J. K.; Sternberg, Eli 133 1972 On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030 Abeyaratne, Rohan; Knowles, James K. 127 1990 On the failure of ellipticity of the equations for finite elastostatic plane strain. Zbl 0351.73061 Knowles, J. K.; Sternberg, Eli 109 1977 On the ellipticity of the equations of nonlinear elastostatics for a special material. Zbl 0323.73010 Knowles, J. K.; Sternberg, Eli 104 1975 On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. Zbl 0422.73038 Knowles, J. K.; Sternberg, Eli 74 1978 A continuum model of a thermoelastic solid capable of undergoing phase transitions. Zbl 0825.73058 Abeyaratne, Rohan; Knowles, James K. 59 1993 On the dissipation associated with equilibrium shocks in finite elasticity. Zbl 0407.73037 Knowles, James K. 50 1979 Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids. Zbl 0764.73013 Abeyaratne, Rohan; Knowles, James K. 49 1991 On finite anti-plane shear for incompressible elastic materials. Zbl 0363.73045 Knowles, James K. 42 1976 Large amplitude oscillations of a tube of incompressible elastic material. Zbl 0099.19102 Knowles, James K. 40 1960 On the dissipative response due to discontinuous strains in bars of unstable elastic material. Zbl 0672.73041 Abeyaratne, Rohan; Knowles, James K. 38 1988 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 37 1974 Large deformations near a tip of an interface-crack between two Neo- Hookean sheets. Zbl 0546.73079 Knowles, J. K.; Sternberg, Eli 34 1983 On the singularity induced by certain mixed boundary conditions in linearized and nonlinear elastostatics. Zbl 0348.73009 Knowles, J. K.; Sternberg, Eli 27 1975 Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity. Zbl 0128.42101 Knowles, J. K.; Jakub, M. T. 27 1965 On a class of oscillations in the finite-deformation theory of elasticity. Zbl 0111.37601 Knowles, J. K. 24 1962 On the spatial decay of solutions of the heat equation. Zbl 0233.35045 Knowles, James K. 22 1972 A one-dimensional continuum model for shape-memory alloys. Zbl 0946.74554 Abeyaratne, Rohan; Kim, Sang-Joo; Knowles, James K. 21 1994 Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example. Zbl 0432.73088 Knowles, J. K.; Sternberg, Eli 21 1980 On the propagation of maximally dissipative phase boundaries in solids. Zbl 0785.73004 Abeyaratne, Rohan; Knowles, James K. 20 1992 Strain-energy functions with multiple local minima: Modeling phase transformations using finite thermoelasticity. Zbl 0993.74047 Abeyaratne, R.; Bhattacharya, K.; Knowles, J. K. 18 2001 A note on anti-plane shear for compressible materials in finite elastostatics. Zbl 0363.73044 Knowles, James 17 1977 Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics. Zbl 0503.73078 Knowles, J. K.; Sternberg, Eli 17 1981 Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction. Zbl 0806.73004 Abeyaratne, Rohan; Knowles, James K. 16 1994 Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids. Zbl 0899.73038 Abeyaratne, Rohan; Knowles, James K. 15 1994 Nucleation, kinetics and admissibility criteria for propagating phase boundaries. Zbl 0793.73008 Abeyaratne, Rohan; Knowles, James K. 14 1993 A note on the spatial decay of a minimal surface over a semi-infinite strip. Zbl 0356.35032 Knowles, James K. 14 1977 Eigenvalue problems associated with Korn’s inequalities. Zbl 0223.73011 Horgan, C. O.; Knowles, J. K. 14 1971 Impact-induced tensile waves in a rubberlike material. Zbl 1041.74010 Knowles, James K. 14 2002 The effect of nonlinearity on a principle of Saint-Venant type. Zbl 0463.73007 Horgan, C. O.; Knowles, J. K. 14 1981 Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example. Zbl 0626.73011 Abeyaratne, Rohan; Knowles, James K. 14 1987 Non-elliptic elastic materials and the modelling of elastic-plastic behavior for finite deformation. Zbl 0608.73044 Abeyaratne, Rohan; Knowles, James K. 13 1987 An energy estimate for the biharmonic equation and its application to Saint-Venant’s principle in plane elastostatics. Zbl 0524.73001 Knowles, James K. 13 1983 On the bending of an elastic plate containing a crack. Zbl 0098.38503 Knowles, James K.; Wang, Neng-Ming 12 1961 On a class of singular perturbation problem. Zbl 0138.35802 Knowles, J. K.; Messick, R. E. 12 1964 On Saint-Venant’s principle and the torsion of solids of revolution. Zbl 0149.43401 Knowles, J. K.; Sternberg, E. 12 1966 A Saint-Venant principle for a class of second-order elliptic boundary value problems. Zbl 0189.25102 Knowles, J. K. 12 1967 Unstable kinetic relations and the dynamics of solid-solid phase transitions. Zbl 0977.74559 Rosakis, Phoebus; Knowles, James K. 10 1997 A class of compressible elastic materials capable of sustaining finite anti-plane shear. Zbl 0766.73021 Jiang, Qing; Knowles, James K. 10 1991 On the representation of the elasticity tensor for isotropic materials. Zbl 0852.73020 Knowles, James K. 9 1995 Impact-induced phase transitions in thermoelastic solids. Zbl 0881.73007 Abeyaratne, Rohan; Knowles, James K. 8 1997 Equilibrium shocks in plane deformations of incompressible elastic materials. Zbl 0698.73027 Abeyaratne, Rohan; Knowles, James K. 8 1989 Stress-induced phase transitions in elastic solids. Zbl 0943.74047 Knowles, J. K. 7 1999 A note on the driving traction acting on a propagating interface: adiabatic and non-adiabatic processes of a continuum. Zbl 1110.74304 Abeyaratne, R.; Knowles, J. K. 7 2000 On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Zbl 0164.55302 Knowles, J. K.; Horgan, C. O. 6 1969 On the stability of thermoelastic materials. Zbl 0952.74010 Abeyaratne, Rohan; Knowles, James K. 5 1999 Linear vector spaces and Cartesian tensors. Zbl 0896.15020 Knowles, James K. 4 1998 Universal states of finite anti-plane shear: Ericksen’s problem in miniature. Zbl 0401.73057 Knowles, James K. 4 1979 Finite elastostatic fields with unbounded deformation gradients. Zbl 0388.73036 Knowles, James K. 3 1977 Linear dynamical systems and an approximation problem for linear transformations. Zbl 0576.34041 Knowles, James K. 3 1985 On the scale of nonlinear effect in a crack problem. Zbl 0597.73099 Knowles, J. K.; Rosakis, A. J. 3 1986 Sudden tensile loading of a rubberlike bar. Zbl 1047.74037 Knowles, James K. 3 2003 On the dynamic response of a beam to a randomly moving load. Zbl 0155.53302 Knowles, J. K. 3 1968 Dynamic thermoelastic phase transitions. Zbl 0867.73007 Knowles, James K. 2 1995 On the existence of an elastic potential for a simple material without memory. Zbl 0446.73002 Sternberg, Eli; Knowles, J. K. 2 1979 Elastic materials with two stress-free configurations. Zbl 1038.74518 Abeyaratne, Rohan; Knowles, James K. 2 2002 On damped linear dynamical systems. Zbl 0577.73053 Knowles, J. K. 2 1985 Remarks on a question of Ericksen concerning elastostatic fields of Saint-Venant type. Zbl 0585.73008 Knowles, James K. 2 1985 Torsion and extension of helicoidal shells. Zbl 0124.40901 Knowles, J. K.; Reissner, E. 2 1960 The Dirichlet problem for a thin rectangle. Zbl 0164.13901 Knowles, J. K. 2 1967 Continuum models for irregular phase boundary motion in shape-memory tensile bars. Zbl 0928.74015 Rosakis, Phoebus; Knowles, James K. 1 1999 Crack problems in finite elastostatics. Zbl 0396.73001 Knowles, James K. 1 1979 Hysteresis in the stress-cycling of bars undergoing solid-solid phase transitions. Zbl 1115.74354 Knowles, James K. 1 2002 Driving force and kinetic relations for scalar conservation laws. Zbl 1168.35030 Knowles, James K. 1 2007 On the relation between particle velocity and shock wave speed for thermoelastic materials. Zbl 1024.74032 Knowles, J. K. 1 2002 Note on stress-strain relations for thin elastic shells. Zbl 0115.41801 Knowles, J. K.; Reissner, E. 1 1958 On the structure of the hugoniot relation for a shock-induced martensitic phase transition. Zbl 1255.74054 Knowles, James K. 1 2008 On a minimization problem associated with linear dynamical systems. Zbl 0744.15025 Knowles, James K. 1 1992 A note on the energy release rate in quasi-static elastic crack propagation. Zbl 0469.73082 Knowles, James K. 1 1981 On the structure of the hugoniot relation for a shock-induced martensitic phase transition. Zbl 1255.74054 Knowles, James K. 1 2008 Driving force and kinetic relations for scalar conservation laws. Zbl 1168.35030 Knowles, James K. 1 2007 Sudden tensile loading of a rubberlike bar. Zbl 1047.74037 Knowles, James K. 3 2003 Impact-induced tensile waves in a rubberlike material. Zbl 1041.74010 Knowles, James K. 14 2002 Elastic materials with two stress-free configurations. Zbl 1038.74518 Abeyaratne, Rohan; Knowles, James K. 2 2002 Hysteresis in the stress-cycling of bars undergoing solid-solid phase transitions. Zbl 1115.74354 Knowles, James K. 1 2002 On the relation between particle velocity and shock wave speed for thermoelastic materials. Zbl 1024.74032 Knowles, J. K. 1 2002 Strain-energy functions with multiple local minima: Modeling phase transformations using finite thermoelasticity. Zbl 0993.74047 Abeyaratne, R.; Bhattacharya, K.; Knowles, J. K. 18 2001 A note on the driving traction acting on a propagating interface: adiabatic and non-adiabatic processes of a continuum. Zbl 1110.74304 Abeyaratne, R.; Knowles, J. K. 7 2000 Stress-induced phase transitions in elastic solids. Zbl 0943.74047 Knowles, J. K. 7 1999 On the stability of thermoelastic materials. Zbl 0952.74010 Abeyaratne, Rohan; Knowles, James K. 5 1999 Continuum models for irregular phase boundary motion in shape-memory tensile bars. Zbl 0928.74015 Rosakis, Phoebus; Knowles, James K. 1 1999 Linear vector spaces and Cartesian tensors. Zbl 0896.15020 Knowles, James K. 4 1998 Unstable kinetic relations and the dynamics of solid-solid phase transitions. Zbl 0977.74559 Rosakis, Phoebus; Knowles, James K. 10 1997 Impact-induced phase transitions in thermoelastic solids. Zbl 0881.73007 Abeyaratne, Rohan; Knowles, James K. 8 1997 On the representation of the elasticity tensor for isotropic materials. Zbl 0852.73020 Knowles, James K. 9 1995 Dynamic thermoelastic phase transitions. Zbl 0867.73007 Knowles, James K. 2 1995 A one-dimensional continuum model for shape-memory alloys. Zbl 0946.74554 Abeyaratne, Rohan; Kim, Sang-Joo; Knowles, James K. 21 1994 Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction. Zbl 0806.73004 Abeyaratne, Rohan; Knowles, James K. 16 1994 Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids. Zbl 0899.73038 Abeyaratne, Rohan; Knowles, James K. 15 1994 A continuum model of a thermoelastic solid capable of undergoing phase transitions. Zbl 0825.73058 Abeyaratne, Rohan; Knowles, James K. 59 1993 Nucleation, kinetics and admissibility criteria for propagating phase boundaries. Zbl 0793.73008 Abeyaratne, Rohan; Knowles, James K. 14 1993 On the propagation of maximally dissipative phase boundaries in solids. Zbl 0785.73004 Abeyaratne, Rohan; Knowles, James K. 20 1992 On a minimization problem associated with linear dynamical systems. Zbl 0744.15025 Knowles, James K. 1 1992 Kinetic relations and the propagation of phase boundaries in solids. Zbl 0745.73001 Abeyaratne, Rohan; Knowles, James K. 144 1991 Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids. Zbl 0764.73013 Abeyaratne, Rohan; Knowles, James K. 49 1991 A class of compressible elastic materials capable of sustaining finite anti-plane shear. Zbl 0766.73021 Jiang, Qing; Knowles, James K. 10 1991 On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030 Abeyaratne, Rohan; Knowles, James K. 127 1990 Equilibrium shocks in plane deformations of incompressible elastic materials. Zbl 0698.73027 Abeyaratne, Rohan; Knowles, James K. 8 1989 On the dissipative response due to discontinuous strains in bars of unstable elastic material. Zbl 0672.73041 Abeyaratne, Rohan; Knowles, James K. 38 1988 Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example. Zbl 0626.73011 Abeyaratne, Rohan; Knowles, James K. 14 1987 Non-elliptic elastic materials and the modelling of elastic-plastic behavior for finite deformation. Zbl 0608.73044 Abeyaratne, Rohan; Knowles, James K. 13 1987 On the scale of nonlinear effect in a crack problem. Zbl 0597.73099 Knowles, J. K.; Rosakis, A. J. 3 1986 Linear dynamical systems and an approximation problem for linear transformations. Zbl 0576.34041 Knowles, James K. 3 1985 On damped linear dynamical systems. Zbl 0577.73053 Knowles, J. K. 2 1985 Remarks on a question of Ericksen concerning elastostatic fields of Saint-Venant type. Zbl 0585.73008 Knowles, James K. 2 1985 Recent developments concerning Saint-Venant’s principle. Zbl 0569.73010 Horgan, Cornelius O.; Knowles, James K. 143 1983 Large deformations near a tip of an interface-crack between two Neo- Hookean sheets. Zbl 0546.73079 Knowles, J. K.; Sternberg, Eli 34 1983 An energy estimate for the biharmonic equation and its application to Saint-Venant’s principle in plane elastostatics. Zbl 0524.73001 Knowles, James K. 13 1983 Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics. Zbl 0503.73078 Knowles, J. K.; Sternberg, Eli 17 1981 The effect of nonlinearity on a principle of Saint-Venant type. Zbl 0463.73007 Horgan, C. O.; Knowles, J. K. 14 1981 A note on the energy release rate in quasi-static elastic crack propagation. Zbl 0469.73082 Knowles, James K. 1 1981 Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example. Zbl 0432.73088 Knowles, J. K.; Sternberg, Eli 21 1980 On the dissipation associated with equilibrium shocks in finite elasticity. Zbl 0407.73037 Knowles, James K. 50 1979 Universal states of finite anti-plane shear: Ericksen’s problem in miniature. Zbl 0401.73057 Knowles, James K. 4 1979 On the existence of an elastic potential for a simple material without memory. Zbl 0446.73002 Sternberg, Eli; Knowles, J. K. 2 1979 Crack problems in finite elastostatics. Zbl 0396.73001 Knowles, James K. 1 1979 On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. Zbl 0422.73038 Knowles, J. K.; Sternberg, Eli 74 1978 On the failure of ellipticity of the equations for finite elastostatic plane strain. Zbl 0351.73061 Knowles, J. K.; Sternberg, Eli 109 1977 A note on anti-plane shear for compressible materials in finite elastostatics. Zbl 0363.73044 Knowles, James 17 1977 A note on the spatial decay of a minimal surface over a semi-infinite strip. Zbl 0356.35032 Knowles, James K. 14 1977 Finite elastostatic fields with unbounded deformation gradients. Zbl 0388.73036 Knowles, James K. 3 1977 On finite anti-plane shear for incompressible elastic materials. Zbl 0363.73045 Knowles, James K. 42 1976 On the ellipticity of the equations of nonlinear elastostatics for a special material. Zbl 0323.73010 Knowles, J. K.; Sternberg, Eli 104 1975 On the singularity induced by certain mixed boundary conditions in linearized and nonlinear elastostatics. Zbl 0348.73009 Knowles, J. K.; Sternberg, Eli 27 1975 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 37 1974 On a class of conservation laws in linearized and finite elastostatics. Zbl 0232.73017 Knowles, J. K.; Sternberg, Eli 133 1972 On the spatial decay of solutions of the heat equation. Zbl 0233.35045 Knowles, James K. 22 1972 Eigenvalue problems associated with Korn’s inequalities. Zbl 0223.73011 Horgan, C. O.; Knowles, J. K. 14 1971 On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Zbl 0164.55302 Knowles, J. K.; Horgan, C. O. 6 1969 On the dynamic response of a beam to a randomly moving load. Zbl 0155.53302 Knowles, J. K. 3 1968 A Saint-Venant principle for a class of second-order elliptic boundary value problems. Zbl 0189.25102 Knowles, J. K. 12 1967 The Dirichlet problem for a thin rectangle. Zbl 0164.13901 Knowles, J. K. 2 1967 On Saint-Venant’s principle and the torsion of solids of revolution. Zbl 0149.43401 Knowles, J. K.; Sternberg, E. 12 1966 Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity. Zbl 0128.42101 Knowles, J. K.; Jakub, M. T. 27 1965 On a class of singular perturbation problem. Zbl 0138.35802 Knowles, J. K.; Messick, R. E. 12 1964 On a class of oscillations in the finite-deformation theory of elasticity. Zbl 0111.37601 Knowles, J. K. 24 1962 On the bending of an elastic plate containing a crack. Zbl 0098.38503 Knowles, James K.; Wang, Neng-Ming 12 1961 Large amplitude oscillations of a tube of incompressible elastic material. Zbl 0099.19102 Knowles, James K. 40 1960 Torsion and extension of helicoidal shells. Zbl 0124.40901 Knowles, J. K.; Reissner, E. 2 1960 Note on stress-strain relations for thin elastic shells. Zbl 0115.41801 Knowles, J. K.; Reissner, E. 1 1958 all cited Publications top 5 cited Publications all top 5 Cited by 1,113 Authors 34 Horgan, Cornelius Oliver 32 Knowles, James K. 24 Abeyaratne, Rohan C. 24 Quintanilla de Latorre, Ramón 19 Payne, Lawrence Edward 15 LeFloch, Philippe Gerard 14 Knops, Robin J. 12 Song, Jong Chul 11 Chiriţă, Stan 11 Qi, Liqun 11 Rosakis, Phoebus 11 Saccomandi, Giuseppe 11 Zhao, Jianxing 10 Batra, Romesh C. 10 Dai, Hui-Hui 10 Schiavone, Peter 10 Truskinovsky, Lev 9 Bhattacharya, Kaushik 9 Gurtin, Morton Edward 9 Lin, Changhao 9 Neff, Patrizio 9 Rohde, Christian 8 Pence, Thomas J. 7 Fried, Eliot 7 Jiang, Qing 7 Martin, Robert J. 7 Roseman, Joseph J. 7 Silling, Stewart A. 7 Steinmann, Paul 7 Sternberg, Eli 7 Yuan, Xuegang 6 Aron, Marian 6 Chen, Haibin 6 Freĭdin, Aleksandr Borisovich 6 Ghiba, Ionel-Dumitrel 6 Kalpakides, Vassilios K. 6 Liu, Yan 6 Lubarda, Vlado A. 6 Rajagopal, Kumbakonam Ramamani 6 Sang, Caili 6 Shearer, Michael 6 Vainchtein, Anna 6 Voss, Jendrik 6 Wang, Xu 6 Zhang, Hongwu 5 Beatty, Millard F. jun. 5 Berezovski, Arkadi 5 Chen, Yiheng 5 Ciarletta, Michele 5 D’Apice, Ciro 5 Hantke, Maren 5 Hattori, Harumi 5 Lazar, Markus 5 Lopez-Pamies, Oscar 5 Maugin, Gérard A. 5 Simpson, Henry C. 5 Tahraoui, Rabah 5 Triantafyllidis, Nicolas 5 Walton, Jay R. 5 Zhang, Wenzheng 5 Zhu, Peicheng 5 Zubov, Leonid M. 4 Agiasofitou, Eleni K. 4 Ahmed, S. Reaz 4 Antman, Stuart S. 4 Breuer, Shlomo 4 Che, Haitao 4 Cheng, Changjun 4 Colombo, Rinaldo M. 4 De Tommasi, Domenico 4 Destrade, Michel 4 Dondl, Patrick Werner 4 Flavin, James N. 4 Fosdick, Roger L. 4 Gavrilov, Serge N. 4 Goriely, Alain 4 Im, Seyoung 4 James, Richard D. 4 Kaushik, Aditya 4 Kim, Chun Il 4 Kim, Kyung-Suk 4 Kuzmanović, Dragoslav S. 4 Lagoudas, Dimitris C. 4 Ling, Chen 4 Mason, David Paul 4 Niemczura, J. 4 Nunziato, Jace W. 4 Oden, John Tinsley 4 Ogden, Raymond William 4 O’Reilly, Oliver Mary 4 Petryk, Henryk 4 Ponte Castañeda, Pedro 4 Puglisi, Giuseppe 4 Ravi-Chandar, Krishnaswamy 4 Ren, Jiusheng 4 Rudev, Alexander N. 4 Schaefer, Philip W. 4 Simo, Juan Carlos 4 Spector, Scott J. 4 Wheeler, Lewis T. ...and 1,013 more Authors all top 5 Cited in 157 Serials 160 Journal of Elasticity 88 Journal of the Mechanics and Physics of Solids 64 Acta Mechanica 62 Archive for Rational Mechanics and Analysis 53 Mathematics and Mechanics of Solids 37 International Journal of Engineering Science 36 Continuum Mechanics and Thermodynamics 35 Journal of Mathematical Analysis and Applications 30 Computer Methods in Applied Mechanics and Engineering 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 European Journal of Mechanics. A. Solids 19 Applied Mathematics and Mechanics. (English Edition) 18 International Journal of Fracture 17 International Journal of Solids and Structures 15 International Journal for Numerical Methods in Engineering 14 Archive of Applied Mechanics 10 Journal of Computational Physics 10 Journal of Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Mathematical Methods in the Applied Sciences 9 Meccanica 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Applied Mathematics and Computation 7 Journal of Computational and Applied Mathematics 7 Quarterly of Applied Mathematics 7 Journal of Industrial and Management Optimization 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Mathematical Sciences (New York) 6 Frontiers of Mathematics in China 5 Ingenieur-Archiv 5 International Journal of Plasticity 5 Prikladnaya Matematika i Mekhanika 5 Physica D 5 Computational Mechanics 5 Journal of Nonlinear Science 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics and Mechanics 4 Soviet Applied Mechanics 4 Japan Journal of Industrial and Applied Mathematics 4 Applied Mathematical Modelling 4 Communications in Partial Differential Equations 4 Journal of Hyperbolic Differential Equations 3 Journal of Engineering Mathematics 3 Journal of the Franklin Institute 3 Linear and Multilinear Algebra 3 Nonlinearity 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Studies in Applied Mathematics 3 Applied Mathematics Letters 3 Linear Algebra and its Applications 3 Acta Mechanica Sinica. (English Edition) 3 Journal of Inequalities and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rheologica Acta 2 Wave Motion 2 Journal of Geometry and Physics 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Duke Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Mathematical and Computer Modelling 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics 2 Journal of Global Optimization 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Interfaces and Free Boundaries 2 Communications in Nonlinear Science and Numerical Simulation 2 Doklady Physics 2 Portugaliae Mathematica. Nova Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mechanics of Solids 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 BIT 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Soviet Mathematics ...and 57 more Serials all top 5 Cited in 38 Fields 842 Mechanics of deformable solids (74-XX) 244 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 68 Classical thermodynamics, heat transfer (80-XX) 45 Numerical analysis (65-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 31 Statistical mechanics, structure of matter (82-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 12 Real functions (26-XX) 10 Mechanics of particles and systems (70-XX) 10 Operations research, mathematical programming (90-XX) 8 Differential geometry (53-XX) 6 Biology and other natural sciences (92-XX) 5 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year