×

zbMATH — the first resource for mathematics

Willis, John Raymond

Compute Distance To:
Author ID: willis.john-raymond Recent zbMATH articles by "Willis, John Raymond"
Published as: Willis, J. R.; Willis, John R.
Homepage: http://www.damtp.cam.ac.uk/user/tsm/jrwbio.html
External Links: MGP · Wikidata
Documents Indexed: 151 Publications since 1964, including 3 Books
Biographic References: 2 Publications
all top 5

Serials

49 Journal of the Mechanics and Physics of Solids
9 Wave Motion
8 International Journal of Solids and Structures
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 IMA Journal of Applied Mathematics
7 Quarterly Journal of Mechanics and Applied Mathematics
7 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
4 International Journal of Engineering Science
3 Quarterly of Applied Mathematics
3 Mathematics and Mechanics of Solids
2 Journal of Applied Mechanics
2 Journal of Engineering Mathematics
2 European Journal of Mechanics. A. Solids
2 European Journal of Applied Mathematics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 European Journal of Mechanics. A. Solids
1 The Geophysical Journal of the Royal Astronomical Society
1 Journal of the Acoustical Society of America
1 Journal of the Institute of Mathematics and its Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Philosophical Transactions of the Royal Society of London. Ser. A
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Fracture
1 Proceedings of the Cambridge Philosophical Society
1 The Philosophical Magazine, VIII. Series
1 Advances in Applied Mechanics
1 Acta Mechanica Sinica
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 2,219 times in 1,408 Documents Cited by Year
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R.
235
1992
Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014
Willis, J. R.
176
1977
Variational and related methods for the overall properties of composites. Zbl 0476.73053
Willis, J. R.
172
1981
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
110
1995
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Zbl 1054.74704
Drugan, W. J.; Willis, J. R.
92
1996
Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025
Talbot, D. R. S.; Willis, J. R.
79
1985
The overall elastic response of composite materials. Zbl 0539.73003
Willis, J. R.
63
1983
On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080
Milton, Graeme W.; Willis, John R.
54
2007
Fracture mechanics of interfacial cracks. Zbl 0329.73070
Willis, J. R.
49
1971
A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier. Zbl 1173.74316
Fleck, N. A.; Willis, J. R.
47
2009
A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier. Zbl 1195.74020
Fleck, N. A.; Willis, J. R.
45
2009
The role of interfaces in enhancing the yield strength of composites and polycrystals. Zbl 1120.74316
Aifantis, K. E.; Willis, J. R.
40
2005
On methods for bounding the overall properties of nonlinear composites. Zbl 0734.73053
Willis, J. R.
39
1991
Self-similar problems in elastodynamics. Zbl 0317.73062
Willis, J. R.
39
1973
Elasticity theory of composites. Zbl 0508.73052
Willis, J. R.
36
1982
Hertzian contact of anisotropic bodies. Zbl 0145.22103
Willis, J. R.
34
1966
Dynamic weight functions for a moving crack. I. Mode I loading. Zbl 0870.73057
Willis, J. R.; Movchan, A. B.
30
1995
A simple self-consistent analysis of wave propagation in particulate composites. Zbl 0632.73005
Sabina, F. J.; Willis, J. R.
29
1988
Second-order effects of dislocations in anisotropic crystals. Zbl 0147.43506
Willis, J. R.
28
1967
A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion. Zbl 0461.73012
Willis, J. R.
27
1980
Some simple explicit bounds for the overall behaviour of nonlinear composites. Zbl 0764.73052
Talbot, D. R. S.; Willis, J. R.
26
1992
A reformation of the equations of anisotropic poroelasticity. Zbl 0754.73017
Thompson, M.; Willis, J. R.
26
1991
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
25
1999
Anisotropie elastic inclusion problems. Zbl 0119.39602
Willis, J. R.
22
1964
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte Castañeda, P.; Willis, J. R.
21
1999
Variational principles for dynamic problems for inhomogeneous elastic media. Zbl 0453.73004
Willis, J. R.
21
1981
The penny-shaped crack on an interface. Zbl 0243.73056
Willis, J. R.
21
1972
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
20
1989
Effective constitutive relations for waves in composites and metamaterials. Zbl 1228.74038
Willis, J. R.
19
2011
The overall elastic moduli of a dilute suspension of spheres. Zbl 0338.73038
Willis, J. R.; Acton, J. R.
17
1976
The stress field around an elliptical crack in an anisotropic elastic medium. Zbl 0159.26702
Willis, J. R.
17
1968
Bounds and self-consistent estimates for the overall properties of nonlinear composites. Zbl 0649.73012
Talbot, D. R. S.; Willis, J. R.
15
1987
A polarization approach to the scattering of elastic waves. II. Multiple scattering from inclusions. Zbl 0461.73013
Willis, J. R.
15
1980
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
14
1988
Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two-phase composite. Zbl 1122.74486
Fleck, Norman A.; Willis, John R.
13
2004
On perturbations of plane cracks. Zbl 0918.73055
Movchan, A. B.; Gao, H.; Willis, J. R.
13
1998
Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023
Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R.
13
1993
The nonlocal influence of density variations in a composite. Zbl 0576.73009
Willis, J. R.
13
1985
Stability of a dislocation: Discrete model. Zbl 0921.73229
Movchan, A. B.; Bullough, R.; Willis, J. R.
12
1998
Three-dimensional dynamic perturbation of a propagating crack. Zbl 0974.74555
Willis, J. R.; Movchan, A. B.
12
1997
Dynamics of composites. Zbl 0883.73052
Willis, J. R.
12
1997
Stress fields produced by dislocations in anisotropic media. Zbl 0198.58604
Willis, J. R.
12
1970
Bounds for the effective constitutive relation of a nonlinear composite. Zbl 1072.74058
Talbot, D. R. S.; Willis, J. R.
11
2004
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I: Random microgeometry. Zbl 0818.73059
Talbot, D. R. S.; Willis, J. R.
11
1994
Singular perturbation solution of a class of singular integral equations. Zbl 0726.45005
Willis, J. R.; Nemat-Nasser, S.
11
1990
Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006
Nesi, V.; Smyshlyaev, V. P.; Willis, J. R.
10
2000
Some constitutive equations applicable to problems of large dynamic plastic deformation. Zbl 0212.58003
Willis, J. R.
10
1969
Size effects in the bending of thin foils. Zbl 1213.74065
Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R.
9
2009
Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. Zbl 1145.74329
Luciano, R.; Willis, J. R.
9
2003
Bounds on non-local effective relations for random composites loaded by configuration-dependent body force. Zbl 1007.74011
Luciano, R.; Willis, J. R.
9
2000
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I: Theory. Zbl 1067.74559
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
9
1997
Critical load for a mode-1 crack, reinforced by bridging fibres. Zbl 0877.73051
Movchan, N. V.; Willis, J. R.
9
1996
Dynamic weight functions for a moving crack. II: Shear loading. Zbl 0899.73428
Movchan, A. B.; Willis, J. R.
9
1995
Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
8
1993
Interfacial stresses induced by arbitrary loading of dissimilar elastic half-spaces joined over a circular region. Zbl 0217.55001
Willis, J. R.
8
1971
Boussinesq problems for an anisotropic half-space. Zbl 0153.56604
Willis, J. R.
8
1967
Regimes of frictional sliding of a spring-block system. Zbl 1193.70015
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
7
2010
Penny-shaped crack bridged by fibres. Zbl 0960.74058
Movchan, N. V.; Willis, J. R.
7
1998
A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055
Smyshlyaev, V. P.; Willis, J. R.
7
1998
Bounds of third order for the overall response of nonlinear composites. Zbl 0969.74570
Talbot, D. R. S.; Willis, J. R.
7
1997
Scattering of SH waves by a rough half-space of arbitrary slope. Zbl 0313.73021
Sabina, F. J.; Willis, J. R.
7
1975
Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies. Zbl 1197.74085
Luciano, R.; Willis, J. R.
6
2006
FE analysis of stress and strain fields in finite random composite bodies. Zbl 1120.74318
Luciano, R.; Willis, J. R.
6
2005
Perturbation of a dynamic planar crack moving in a model elastic solid. Zbl 0962.74052
Woolfries, S.; Willis, J. R.
6
1999
On the two-point correlation function for dispersions of nonoverlapping spheres. Zbl 0958.74006
Markov, Konstantin Z.; Willis, John R.
6
1998
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II: Examples. Zbl 1067.74560
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
6
1997
A line-integral representation for the stresses due to an arbitrary dislocation in an isotropic half-space. Zbl 0811.73007
Gosling, T. J.; Willis, J. R.
6
1994
Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
6
1993
The excitation of a fluid-loaded plate stiffened by a semi-infinite array of beams. Zbl 0505.73032
Eatwell, G. P.; Willis, J. R.
6
1982
A dynamical interpretation of flutter instability in a continuous medium. Zbl 1120.74549
Piccolroaz, Andrea; Bigoni, Davide; Willis, John R.
5
2006
A fracture criterion of “Barenblatt” type for an intersonic shear crack. Zbl 1060.74057
Antipov, Y. A.; Obrezanova, O.; Willis, J. R.
5
2004
Dynamic stability of a propagating crack. Zbl 1100.74620
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
5
2002
Non-local constitutive response of a random laminate subjected to configuration-dependent body force. Zbl 0983.74006
Luciano, R.; Willis, J. R.
5
2001
Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory. Zbl 0966.74079
Karlin, V.; Maz’ya, V. G.; Movchan, A. B.; Willis, J. R.; Bullough, R.
5
2000
Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509
Smyshlyaev, V. P.; Willis, J. R.
5
1996
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. II: Periodic microgeometry. Zbl 0818.73060
Talbot, D. R. S.; Willis, J. R.
5
1994
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; Willis, J. R.
5
1994
Asymptotic analysis of the reinforcement of a brittle crack by bridging fibres. Zbl 0784.73065
Movchan, A. B.; Willis, J. R.
5
1993
Accelerating cracks and related problems. Zbl 0709.73060
Willis, J. R.
5
1990
Variational methods in the theory of random composite materials. Zbl 0754.73023
Willis, J. R.; Talbot, D. R. S.
5
1990
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
5
1989
Variational estimates for the overall response of an inhomogeneous nonlinear dielectric. Zbl 0649.73013
Willis, J. R.
5
1986
Variational estimates for dispersion and attenuation of waves in random composites. III. Fibre-reinforced materials. Zbl 0516.73027
Talbot, D. R. S.; Willis, J. R.
5
1983
High speed indentation of an elastic half-space by conical or wedge- shaped indentors. Zbl 0336.73009
Bedding, R. J.; Willis, J. R.
5
1976
The self-similar problem of the expanding elliptical crack in an anisotropic solid. Zbl 0212.57902
Burridge, R.; Willis, J. R.
5
1969
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
4
2017
On the microphysical foundations of rate-and-state friction. Zbl 1270.74020
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
4
2011
Sliding modes of two interacting frictional interfaces. Zbl 1401.74214
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
4
2007
Stability of an advancing crack to small perturbation of its path. Zbl 1041.74064
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
4
2002
Asymptotic analysis of reinforcement by frictional fibres. Zbl 0913.73058
Movchan, N. V.; Willis, J. R.
4
1997
Upper and lower bounds for the overall properties of a nonlinear elastic composite. Zbl 0887.73044
Talbot, D. R. S.; Willis, J. R.
4
1995
The reflection of electromagnetic waves from very rough interfaces. Zbl 0708.73058
Talbot, D. R. S.; Titchener, J. B.; Willis, J. R.
4
1990
Variational principles and operator equations for electromagnetic waves in inhomogeneous media. Zbl 0533.73092
Willis, J. R.
4
1984
Variational estimates for dispersion and attenuation of waves in random composites. I. General theory. Zbl 0487.73025
Talbot, D. R. S.; Willis, J. R.
4
1982
Arrivals associated with a class of self-similar problems in elastodynamics. Zbl 0313.73025
Willis, J. R.; Bedding, R. J.
4
1975
Stability of strain-gradient plastic materials. Zbl 1270.74032
Dal Corso, F.; Willis, J. R.
3
2011
Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type. Zbl 1211.74180
Milton, Graeme W.; Willis, John R.
3
2010
Perturbation of a dynamic crack in an infinite strip. Zbl 1112.74053
Movchan, N. V.; Movchan, A. B.; Willis, J. R.
3
2005
Lectures on mechanics of random media. Zbl 1012.74002
Willis, J. R.
3
2001
Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces. Zbl 0991.74009
Luciano, R.; Willis, J. R.
3
2001
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
4
2017
The effective non-linear properties of a composite coating and a composite sandwich layer. Zbl 1406.74163
Fleck, N. A.; Willis, J. R.
2
2016
Strain gradient plasticity: energetic or dissipative? Zbl 1342.74032
Fleck, N. A.; Willis, J. R.
1
2015
Effective constitutive relations for waves in composites and metamaterials. Zbl 1228.74038
Willis, J. R.
19
2011
On the microphysical foundations of rate-and-state friction. Zbl 1270.74020
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
4
2011
Stability of strain-gradient plastic materials. Zbl 1270.74032
Dal Corso, F.; Willis, J. R.
3
2011
Regimes of frictional sliding of a spring-block system. Zbl 1193.70015
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
7
2010
Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type. Zbl 1211.74180
Milton, Graeme W.; Willis, John R.
3
2010
A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier. Zbl 1173.74316
Fleck, N. A.; Willis, J. R.
47
2009
A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier. Zbl 1195.74020
Fleck, N. A.; Willis, J. R.
45
2009
Size effects in the bending of thin foils. Zbl 1213.74065
Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R.
9
2009
The pair distribution function for an array of screw dislocations. Zbl 1169.74332
Vinogradov, V.; Willis, J. R.
1
2008
Stability of an intersonic shear crack to a perturbation of its edge. Zbl 1162.74435
Obrezanova, O.; Willis, J. R.
1
2008
On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080
Milton, Graeme W.; Willis, John R.
54
2007
Sliding modes of two interacting frictional interfaces. Zbl 1401.74214
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
4
2007
Crack front waves in an anisotropic medium. Zbl 1231.74151
Willis, J. R.; Movchan, N. V.
2
2007
Propagation of a mode-II crack in a viscoelastic medium with different bulk and shear relaxation. Zbl 1131.74040
Antipov, Yuri A.; Willis, John R.
1
2007
Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies. Zbl 1197.74085
Luciano, R.; Willis, J. R.
6
2006
A dynamical interpretation of flutter instability in a continuous medium. Zbl 1120.74549
Piccolroaz, Andrea; Bigoni, Davide; Willis, John R.
5
2006
The role of interfaces in enhancing the yield strength of composites and polycrystals. Zbl 1120.74316
Aifantis, K. E.; Willis, J. R.
40
2005
FE analysis of stress and strain fields in finite random composite bodies. Zbl 1120.74318
Luciano, R.; Willis, J. R.
6
2005
Perturbation of a dynamic crack in an infinite strip. Zbl 1112.74053
Movchan, N. V.; Movchan, A. B.; Willis, J. R.
3
2005
Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two-phase composite. Zbl 1122.74486
Fleck, Norman A.; Willis, John R.
13
2004
Bounds for the effective constitutive relation of a nonlinear composite. Zbl 1072.74058
Talbot, D. R. S.; Willis, J. R.
11
2004
A fracture criterion of “Barenblatt” type for an intersonic shear crack. Zbl 1060.74057
Antipov, Y. A.; Obrezanova, O.; Willis, J. R.
5
2004
Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. Zbl 1145.74329
Luciano, R.; Willis, J. R.
9
2003
Stability of intersonic shear crack propagation. Zbl 1041.74533
Obrezanova, O.; Willis, J. R.
2
2003
Dynamic stability of a propagating crack. Zbl 1100.74620
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
5
2002
Stability of an advancing crack to small perturbation of its path. Zbl 1041.74064
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
4
2002
Theory of crack front waves. Zbl 1321.74030
Willis, J. R.; Movchan, A. B.
2
2002
Perturbation of a dynamic planar crack moving in a model viscoelastic solid. Zbl 1042.74048
Woolfries, S.; Movchan, A. B.; Willis, J. R.
2
2002
The influence of boundary conditions on the non-local response of a randomly heterogeneous medium. Zbl 1053.74500
Luciano, R.; Willis, J. R.
1
2002
Non-local constitutive response of a random laminate subjected to configuration-dependent body force. Zbl 0983.74006
Luciano, R.; Willis, J. R.
5
2001
Lectures on mechanics of random media. Zbl 1012.74002
Willis, J. R.
3
2001
Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces. Zbl 0991.74009
Luciano, R.; Willis, J. R.
3
2001
The influence of viscoelasticity on crack front waves. Zbl 1044.74040
Willis, J. R.; Movchan, A. B.
3
2001
Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006
Nesi, V.; Smyshlyaev, V. P.; Willis, J. R.
10
2000
Bounds on non-local effective relations for random composites loaded by configuration-dependent body force. Zbl 1007.74011
Luciano, R.; Willis, J. R.
9
2000
Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory. Zbl 0966.74079
Karlin, V.; Maz’ya, V. G.; Movchan, A. B.; Willis, J. R.; Bullough, R.
5
2000
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
25
1999
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte Castañeda, P.; Willis, J. R.
21
1999
Perturbation of a dynamic planar crack moving in a model elastic solid. Zbl 0962.74052
Woolfries, S.; Willis, J. R.
6
1999
Translation and related bounds for the response of a nonlinear composite conductor. Zbl 0940.74047
Nesi, V.; Talbot, D. R. S.; Willis, J. R.
3
1999
Wave propagation in elastic media with cracks. II: Transient nonlinear response of a cracked matrix. Zbl 0930.74030
Capuani, Domenico; Willis, John R.
1
1999
On perturbations of plane cracks. Zbl 0918.73055
Movchan, A. B.; Gao, H.; Willis, J. R.
13
1998
Stability of a dislocation: Discrete model. Zbl 0921.73229
Movchan, A. B.; Bullough, R.; Willis, J. R.
12
1998
Penny-shaped crack bridged by fibres. Zbl 0960.74058
Movchan, N. V.; Willis, J. R.
7
1998
A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055
Smyshlyaev, V. P.; Willis, J. R.
7
1998
On the two-point correlation function for dispersions of nonoverlapping spheres. Zbl 0958.74006
Markov, Konstantin Z.; Willis, John R.
6
1998
Three-dimensional dynamic perturbation of a propagating crack. Zbl 0974.74555
Willis, J. R.; Movchan, A. B.
12
1997
Dynamics of composites. Zbl 0883.73052
Willis, J. R.
12
1997
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I: Theory. Zbl 1067.74559
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
9
1997
Bounds of third order for the overall response of nonlinear composites. Zbl 0969.74570
Talbot, D. R. S.; Willis, J. R.
7
1997
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II: Examples. Zbl 1067.74560
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
6
1997
Asymptotic analysis of reinforcement by frictional fibres. Zbl 0913.73058
Movchan, N. V.; Willis, J. R.
4
1997
Wave propagation in elastic media with cracks. I: Transient nonlinear response of a single crack. Zbl 0888.73042
Capuani, D.; Willis, J. R.
3
1997
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Zbl 1054.74704
Drugan, W. J.; Willis, J. R.
92
1996
Critical load for a mode-1 crack, reinforced by bridging fibres. Zbl 0877.73051
Movchan, N. V.; Willis, J. R.
9
1996
Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509
Smyshlyaev, V. P.; Willis, J. R.
5
1996
Three-point bounds for the overall properties of a nonlinear composite dielectric. Zbl 0870.35113
Talbot, D. R. S.; Willis, J. R.
3
1996
On stationary diffusion in heterogeneous media. Zbl 0854.73007
Markov, K. Z.; Talbot, D. R. S.; Willis, J. R.
1
1996
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
110
1995
Dynamic weight functions for a moving crack. I. Mode I loading. Zbl 0870.73057
Willis, J. R.; Movchan, A. B.
30
1995
Dynamic weight functions for a moving crack. II: Shear loading. Zbl 0899.73428
Movchan, A. B.; Willis, J. R.
9
1995
Upper and lower bounds for the overall properties of a nonlinear elastic composite. Zbl 0887.73044
Talbot, D. R. S.; Willis, J. R.
4
1995
On improving the Hashin-Shtrikman bounds for the effective properties of three-phase composite media. Zbl 0832.73039
Talbot, D. R. S.; Willis, J. R.; Nesi, V.
2
1995
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I: Random microgeometry. Zbl 0818.73059
Talbot, D. R. S.; Willis, J. R.
11
1994
A line-integral representation for the stresses due to an arbitrary dislocation in an isotropic half-space. Zbl 0811.73007
Gosling, T. J.; Willis, J. R.
6
1994
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. II: Periodic microgeometry. Zbl 0818.73060
Talbot, D. R. S.; Willis, J. R.
5
1994
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; Willis, J. R.
5
1994
Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023
Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R.
13
1993
Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
8
1993
Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
6
1993
Asymptotic analysis of the reinforcement of a brittle crack by bridging fibres. Zbl 0784.73065
Movchan, A. B.; Willis, J. R.
5
1993
Self-consistent analysis of waves in a polycrystalline medium. Zbl 0773.73027
Sabina, F. J.; Willis, J. R.
3
1993
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R.
235
1992
Some simple explicit bounds for the overall behaviour of nonlinear composites. Zbl 0764.73052
Talbot, D. R. S.; Willis, J. R.
26
1992
The stress field near the tip of an accelerating crack. Zbl 0778.73054
Willis, J. R.
2
1992
On methods for bounding the overall properties of nonlinear composites. Zbl 0734.73053
Willis, J. R.
39
1991
A reformation of the equations of anisotropic poroelasticity. Zbl 0754.73017
Thompson, M.; Willis, J. R.
26
1991
Singular perturbation solution of a class of singular integral equations. Zbl 0726.45005
Willis, J. R.; Nemat-Nasser, S.
11
1990
Accelerating cracks and related problems. Zbl 0709.73060
Willis, J. R.
5
1990
Variational methods in the theory of random composite materials. Zbl 0754.73023
Willis, J. R.; Talbot, D. R. S.
5
1990
The reflection of electromagnetic waves from very rough interfaces. Zbl 0708.73058
Talbot, D. R. S.; Titchener, J. B.; Willis, J. R.
4
1990
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
20
1989
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
5
1989
A simple self-consistent analysis of wave propagation in particulate composites. Zbl 0632.73005
Sabina, F. J.; Willis, J. R.
29
1988
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
14
1988
Analytical aspects of heat flow in random two-component laminates. Zbl 0658.76084
Hill, J. M.; Willis, J. R.
2
1988
Bounds and self-consistent estimates for the overall properties of nonlinear composites. Zbl 0649.73012
Talbot, D. R. S.; Willis, J. R.
15
1987
Randomly inhomogeneous media. Zbl 0717.73010
Willis, J. R.
1
1987
Variational estimates for the overall response of an inhomogeneous nonlinear dielectric. Zbl 0649.73013
Willis, J. R.
5
1986
Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025
Talbot, D. R. S.; Willis, J. R.
79
1985
The nonlocal influence of density variations in a composite. Zbl 0576.73009
Willis, J. R.
13
1985
Fundamentals of deformation and fracture. Eshelby Memorial Symposium, Sheffield, April 2-5, 1984. Zbl 0559.00014
Bilby, B. A. (ed.); Miller, K. J. (ed.); Willis, J. R. (ed.)
1
1985
Variational principles and operator equations for electromagnetic waves in inhomogeneous media. Zbl 0533.73092
Willis, J. R.
4
1984
The overall elastic response of composite materials. Zbl 0539.73003
Willis, J. R.
63
1983
Variational estimates for dispersion and attenuation of waves in random composites. III. Fibre-reinforced materials. Zbl 0516.73027
Talbot, D. R. S.; Willis, J. R.
5
1983
Elasticity theory of composites. Zbl 0508.73052
Willis, J. R.
36
1982
The excitation of a fluid-loaded plate stiffened by a semi-infinite array of beams. Zbl 0505.73032
Eatwell, G. P.; Willis, J. R.
6
1982
...and 36 more Documents
all top 5

Cited by 1,957 Authors

55 Willis, John Raymond
43 Ponte Castañeda, Pedro
21 Movchan, Alexander B.
18 Acharya, Amit
18 Sevostianov, Igor
17 Milton, Graeme Walter
16 Sabina, Federico J.
15 Miehe, Christian
15 Suquet, Pierre-Marie
15 Wang, Xu
14 Idiart, Martín I.
14 Lopez-Pamies, Oscar
13 Buryachenko, Valeriy A.
13 Fleck, Norman A.
13 Weng, George J.
11 Bigoni, Davide
11 Geers, Marc G. D.
11 Loboda, Volodymyr V.
10 Kushch, Volodymyr I.
10 Leblond, Jean-Baptiste
10 Luciano, Raimondo
10 Niordson, Christian F.
10 Selvadurai, A. Patrick S.
10 Smyshlyaev, Valery P.
10 Zhang, Chuanzeng
10 Zhou, Zhengong
9 Chen, Weiqiu
9 Kanaun, Sergei K.
9 Pan, Ernian
9 Zhao, Minghao
8 Antipov, Yuri A.
8 Dormieux, Luc
8 Drugan, W. J.
8 Fan, CuiYing
8 Gao, Cun-Fa
8 Hellmich, Christian
8 Kouznetsova, Varvara G.
8 Kuna, Meinhard
8 Levin, Valery M.
8 Michel, Jean-Claude
8 Mishuris, Gennady S.
7 Hu, Gengkai
7 Lazarus, Véronique
7 Lee, Kangyong
7 Lei, Jun
7 Lipton, Robert P.
7 Norris, Andrew N.
7 Parnell, William J.
7 Piccolroaz, Andrea
7 Rodríguez-Ramos, Reinaldo
7 Wang, Biao
6 Bardella, Lorenzo
6 Barthelemy, Jean-Francois M.
6 Böhlke, Thomas
6 Bravo-Castillero, Julián
6 Buryachenko, Valeri A.
6 Dineva, Petia S.
6 Govorukha, Volodymyr B.
6 Hackl, Klaus
6 Hwu, Chyanbin
6 Kondo, Djimédo
6 Li, Shaofan
6 Nemat-Nasser, Sia
6 Nielsen, Kim Lau
6 Ostoja-Starzewski, Martin
6 Peigney, Michaël
6 Rice, James Robert
6 Steinmann, Paul
6 Zhou, Yueting
5 Abrahams, I. David
5 Achenbach, Jan D.
5 Aifantis, Elias C.
5 Bhargava, Raj Rani
5 Bornert, Michel
5 Capuani, Domenico
5 Chen, Zengtao
5 Fish, Jacob
5 Fritzen, Felix
5 Giraud, Albert
5 Llorca, Javier
5 Mariano, Paolo Maria
5 Moulinec, Hervé
5 Nazarov, Sergeĭ Aleksandrovich
5 Obrezanova, Olga A.
5 Pellegrini, Yves-Patrick
5 Pichler, Bernhard
5 Polizzotto, Castrenze
5 Radi, Enrico
5 Rangelov, Tsviatko V.
5 Rosakis, Ares J.
5 Shao, Jianfu
5 Slepyan, Leonid I.
5 Srivastava, Ankit
5 Svendsen, Bob
5 Yvonnet, Julien
4 Aravas, Nikolaos
4 Argatov, Ivan I.
4 Askes, Harm
4 Avazmohammadi, Reza
4 Bartel, Thorsten
...and 1,857 more Authors
all top 5

Cited in 118 Serials

326 Journal of the Mechanics and Physics of Solids
116 Acta Mechanica
100 European Journal of Mechanics. A. Solids
75 Computer Methods in Applied Mechanics and Engineering
72 International Journal of Engineering Science
54 International Journal of Solids and Structures
53 Wave Motion
40 Mathematics and Mechanics of Solids
38 Journal of Elasticity
36 Engineering Analysis with Boundary Elements
33 Computational Mechanics
33 International Journal of Fracture
32 Archive of Applied Mechanics
24 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
23 International Journal for Numerical Methods in Engineering
22 Applied Mathematics and Mechanics. (English Edition)
20 International Journal of Plasticity
16 Continuum Mechanics and Thermodynamics
16 Acta Mechanica Sinica
13 Meccanica
12 Archive for Rational Mechanics and Analysis
12 Journal of Engineering Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Journal of Applied Mathematics and Mechanics
8 Mathematical Methods in the Applied Sciences
6 Mechanics Research Communications
6 Mathematical Problems in Engineering
5 Computers & Mathematics with Applications
5 International Journal for Numerical and Analytical Methods in Geomechanics
5 Journal of Mathematical Physics
5 Soviet Applied Mechanics
5 Applied Mathematics and Computation
5 Journal of Computational and Applied Mathematics
5 Applied Mathematical Modelling
4 Journal of Fluid Mechanics
4 Quarterly of Applied Mathematics
4 Mathematical and Computer Modelling
4 Applications of Mathematics
4 SIAM Journal on Applied Mathematics
4 International Journal of Computational Methods
4 Waves in Random and Complex Media
3 Communications in Mathematical Physics
3 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Science in China. Series E
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Multiscale Modeling & Simulation
3 GAMM-Mitteilungen
2 Ingenieur-Archiv
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Journal of Theoretical and Applied Mechanics (Sofia)
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal of Integral Equations and Applications
2 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 SIAM Review
2 Acta Mechanica Sinica. (English Edition)
2 International Applied Mechanics
2 Archives of Computational Methods in Engineering
2 Science in China. Series G
2 Chebyshevskiĭ Sbornik
2 Mathematics and Mechanics of Complex Systems
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Heat and Mass Transfer
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Moscow University Mechanics Bulletin
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Advances in Mathematics
1 Journal of Soviet Mathematics
1 Numerische Mathematik
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Finite Elements in Analysis and Design
1 Journal of Scientific Computing
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Journal of Statistical Computation and Simulation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Nonlinear Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Combustion Theory and Modelling
1 Doklady Physics
1 Journal of Zhejiang University. Science
1 Journal of Applied Mathematics
...and 18 more Serials
all top 5

Cited in 40 Fields

1,331 Mechanics of deformable solids (74-XX)
76 Partial differential equations (35-XX)
69 Numerical analysis (65-XX)
49 Fluid mechanics (76-XX)
35 Statistical mechanics, structure of matter (82-XX)
32 Optics, electromagnetic theory (78-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 Integral equations (45-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Mechanics of particles and systems (70-XX)
13 Biology and other natural sciences (92-XX)
11 Geophysics (86-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Operator theory (47-XX)
6 Functions of a complex variable (30-XX)
6 Ordinary differential equations (34-XX)
5 Probability theory and stochastic processes (60-XX)
5 Operations research, mathematical programming (90-XX)
4 Statistics (62-XX)
3 Combinatorics (05-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Differential geometry (53-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Computer science (68-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.