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Author ID: knowles.james-k Recent zbMATH articles by "Knowles, James K."
Published as: Knowles, James K.; Knowles, J. K.; Knowles, James
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

Publications by Year

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 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