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Willis, John Raymond

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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
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Co-Authors

45 single-authored
19 Talbot, D. R. S.
14 Movchan, Alexander B.
8 Smyshlyaev, Valery P.
6 Fleck, Norman A.
6 Sabina, Federico J.
5 Obrezanova, Olga A.
5 Ponte Castañeda, Pedro
4 Bullough, Robin K.
3 Bedding, R. J.
3 Dawes, Jonathan H. P.
3 Nesi, Vincenzo
3 Putelat, Thibaut
2 Antipov, Yuri A.
2 Bilby, B. A.
2 Capuani, Domenico
2 Drugan, W. J.
2 Eatwell, G. P.
2 Edmunds, T. M.
2 Hill, James Murray
2 Kailasam, M.
2 Markov, Konstantin Z.
2 Miller, K. J.
2 Milton, Graeme Walter
2 Nemat-Nasser, Sia
2 Woolfries, S.
1 Aboudi, Jacob
1 Acton, J. R.
1 Aifantis, K. E.
1 Barnett, David M.
1 Beaumont, P. W. R.
1 Bert, Charles W.
1 Bigoni, Davide
1 Chou, Tsu-Wei
1 Christensen, Richard M.
1 Cowdrey, D. R.
1 Dal Corso, Francesco
1 Daniel, Isaac M.
1 Datta, Subhendu K.
1 Deshpande, Vikram S.
1 Dharani, L. R.
1 Duke, J. C.
1 Dvorak, George J.
1 Gallo, R. L.
1 Glennie, E. B.
1 Gore, J. G.
1 Gosling, T. J.
1 Hashin, Zvi
1 Hayns, M. R.
1 Henneke, Edmund G. II
1 Herakovich, Carl T.
1 Herrmann, Klaus P.
1 Horgan, Cornelius Oliver
1 Hyer, Micahel W.
1 Idiart, Martín I.
1 Iwakuma, Tetsuo
1 Karlin, Vladimir
1 Ledbetter, H. M.
1 Maz’ya, Vladimir Gilelevich
1 McCullough, R. L.
1 Nuismer, R. J. jun.
1 Pagano, Nicholas J.
1 Phoenix, S. Leigh
1 Piccolroaz, Andrea
1 Pindera, Marek-Jerzy
1 Plunkett, Robert L.
1 Poursartip, Anoush
1 Reddy, Junuthula Narasimha
1 Reifsnider, Kenneth L.
1 Rosen, B. W.
1 Rotem, A.
1 Sendeckyj, G. P.
1 Shah, Arvind H.
1 Soni, Som Raj
1 Srivastava, Ankit
1 Starnes, James H. jun.
1 Stinchcomb, W. W.
1 Stroud, W. Jefferson
1 Taya, Minoru
1 Titchener, J. B.
1 Toland, John Francis
1 Wu, E. M.
all top 5

Serials

51 Journal of the Mechanics and Physics of Solids
10 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
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 2,438 times in 1,519 Documents Cited by Year
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R.
241
1992
Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014
Willis, J. R.
191
1977
Variational and related methods for the overall properties of composites. Zbl 0476.73053
Willis, J. R.
186
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.
118
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.
101
1996
Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025
Talbot, D. R. S.; Willis, J. R.
83
1985
On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080
Milton, Graeme W.; Willis, John R.
73
2007
The overall elastic response of composite materials. Zbl 0539.73003
Willis, J. R.
64
1983
A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier. Zbl 1173.74316
Fleck, N. A.; Willis, J. R.
54
2009
A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier. Zbl 1195.74020
Fleck, N. A.; Willis, J. R.
53
2009
Fracture mechanics of interfacial cracks. Zbl 0329.73070
Willis, J. R.
51
1971
Self-similar problems in elastodynamics. Zbl 0317.73062
Willis, J. R.
43
1973
The role of interfaces in enhancing the yield strength of composites and polycrystals. Zbl 1120.74316
Aifantis, K. E.; Willis, J. R.
43
2005
On methods for bounding the overall properties of nonlinear composites. Zbl 0734.73053
Willis, J. R.
40
1991
Variational principles for dynamic problems for inhomogeneous elastic media. Zbl 0453.73004
Willis, J. R.
37
1981
Hertzian contact of anisotropic bodies. Zbl 0145.22103
Willis, J. R.
34
1966
Elasticity theory of composites. Zbl 0508.73052
Willis, J. R.
33
1982
A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion. Zbl 0461.73012
Willis, J. R.
32
1980
Second-order effects of dislocations in anisotropic crystals. Zbl 0147.43506
Willis, J. R.
32
1967
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.
30
1988
Effective constitutive relations for waves in composites and metamaterials. Zbl 1228.74038
Willis, J. R.
29
2011
Some simple explicit bounds for the overall behaviour of nonlinear composites. Zbl 0764.73052
Talbot, D. R. S.; Willis, J. R.
27
1992
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
27
1999
A reformation of the equations of anisotropic poroelasticity. Zbl 0754.73017
Thompson, M.; Willis, J. R.
26
1991
Anisotropie elastic inclusion problems. Zbl 0119.39602
Willis, J. R.
25
1964
The penny-shaped crack on an interface. Zbl 0243.73056
Willis, J. R.
23
1972
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte Castañeda, P.; Willis, J. R.
23
1999
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
23
1989
Dynamics of composites. Zbl 0883.73052
Willis, J. R.
21
1997
The nonlocal influence of density variations in a composite. Zbl 0576.73009
Willis, J. R.
21
1985
A polarization approach to the scattering of elastic waves. II. Multiple scattering from inclusions. Zbl 0461.73013
Willis, J. R.
19
1980
The overall elastic moduli of a dilute suspension of spheres. Zbl 0338.73038
Willis, J. R.; Acton, J. R.
18
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
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
15
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.
14
2004
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
Three-dimensional dynamic perturbation of a propagating crack. Zbl 0974.74555
Willis, J. R.; Movchan, A. B.
13
1997
Stability of a dislocation: Discrete model. Zbl 0921.73229
Movchan, A. B.; Bullough, R.; Willis, J. R.
13
1998
On perturbations of plane cracks. Zbl 0918.73055
Movchan, A. B.; Gao, H.; Willis, J. R.
13
1998
Stress fields produced by dislocations in anisotropic media. Zbl 0198.58604
Willis, J. R.
13
1970
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
Some constitutive equations applicable to problems of large dynamic plastic deformation. Zbl 0212.58003
Willis, J. R.
11
1969
Size effects in the bending of thin foils. Zbl 1213.74065
Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R.
11
2009
Bounds for the effective constitutive relation of a nonlinear composite. Zbl 1072.74058
Talbot, D. R. S.; Willis, J. R.
11
2004
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
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
Interfacial stresses induced by arbitrary loading of dissimilar elastic half-spaces joined over a circular region. Zbl 0217.55001
Willis, J. R.
9
1971
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
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
Non-local constitutive response of a random laminate subjected to configuration-dependent body force. Zbl 0983.74006
Luciano, R.; Willis, J. R.
9
2001
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
9
2017
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
Bounds of third order for the overall response of nonlinear composites. Zbl 0969.74570
Talbot, D. R. S.; Willis, J. R.
8
1997
Regimes of frictional sliding of a spring-block system. Zbl 1193.70015
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
8
2010
The self-similar problem of the expanding elliptical crack in an anisotropic solid. Zbl 0212.57902
Burridge, R.; Willis, J. R.
8
1969
Boussinesq problems for an anisotropic half-space. Zbl 0153.56604
Willis, J. R.
8
1967
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.
7
1994
On the two-point correlation function for dispersions of nonoverlapping spheres. Zbl 0958.74006
Markov, Konstantin Z.; Willis, John R.
7
1998
Penny-shaped crack bridged by fibres. Zbl 0960.74058
Movchan, N. V.; Willis, J. R.
7
1998
Scattering of SH waves by a rough half-space of arbitrary slope. Zbl 0313.73021
Sabina, F. J.; Willis, J. R.
7
1975
A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055
Smyshlyaev, V. P.; Willis, J. R.
7
1998
FE analysis of stress and strain fields in finite random composite bodies. Zbl 1120.74318
Luciano, R.; Willis, J. R.
7
2005
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
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; Willis, J. R.
6
1994
Perturbation of a dynamic planar crack moving in a model elastic solid. Zbl 0962.74052
Woolfries, S.; Willis, J. R.
6
1999
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.
6
2000
High speed indentation of an elastic half-space by conical or wedge- shaped indentors. Zbl 0336.73009
Bedding, R. J.; Willis, J. R.
6
1976
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 dynamical interpretation of flutter instability in a continuous medium. Zbl 1120.74549
Piccolroaz, Andrea; Bigoni, Davide; Willis, John R.
6
2006
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
6
1989
Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies. Zbl 1197.74085
Luciano, R.; Willis, J. R.
6
2006
Variational estimates for dispersion and attenuation of waves in random composites. I. General theory. Zbl 0487.73025
Talbot, D. R. S.; Willis, J. R.
6
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
Variational principles and operator equations for electromagnetic waves in inhomogeneous media. Zbl 0533.73092
Willis, J. R.
6
1984
Asymptotic analysis of the reinforcement of a brittle crack by bridging fibres. Zbl 0784.73065
Movchan, A. B.; Willis, J. R.
5
1993
Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509
Smyshlyaev, V. P.; Willis, J. R.
5
1996
Dynamic stability of a propagating crack. Zbl 1100.74620
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
5
2002
Variational methods in the theory of random composite materials. Zbl 0754.73023
Willis, J. R.; Talbot, D. R. S.
5
1990
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
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.
5
2010
A fracture criterion of “Barenblatt” type for an intersonic shear crack. Zbl 1060.74057
Antipov, Y. A.; Obrezanova, O.; Willis, J. R.
5
2004
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
On the microphysical foundations of rate-and-state friction. Zbl 1270.74020
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
5
2011
Arrivals associated with a class of self-similar problems in elastodynamics. Zbl 0313.73025
Willis, J. R.; Bedding, R. J.
4
1975
The influence of viscoelasticity on crack front waves. Zbl 1044.74040
Willis, J. R.; Movchan, A. B.
4
2001
Stability of an advancing crack to small perturbation of its path. Zbl 1041.74064
Obrezanova, O.; Movchan, A. B.; Willis, J. R.
4
2002
Sliding modes of two interacting frictional interfaces. Zbl 1401.74214
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
4
2007
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
Asymptotic analysis of reinforcement by frictional fibres. Zbl 0913.73058
Movchan, N. V.; Willis, J. R.
4
1997
From statics of composites to acoustic metamaterials. Zbl 1462.74043
Willis, J. R.
4
2019
Variational estimates for the overall response of an inhomogeneous nonlinear dielectric. Zbl 0649.73013
Willis, J. R.
4
1986
The reflection of electromagnetic waves from very rough interfaces. Zbl 0708.73058
Talbot, D. R. S.; Titchener, J. B.; Willis, J. R.
4
1990
Accelerating cracks and related problems. Zbl 0709.73060
Willis, J. R.
4
1990
Variational estimates for dispersion and attenuation of waves in random composites. II. Isotropic composites. Zbl 0487.73026
Talbot, D. R. S.; Willis, J. R.
4
1982
Stability of strain-gradient plastic materials. Zbl 1270.74032
Dal Corso, F.; Willis, J. R.
4
2011
From statics of composites to acoustic metamaterials. Zbl 1462.74043
Willis, J. R.
4
2019
Some forms and properties of models of strain-gradient plasticity. Zbl 1474.74027
Willis, J. R.
2
2019
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
9
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.
4
2015
Effective constitutive relations for waves in composites and metamaterials. Zbl 1228.74038
Willis, J. R.
29
2011
On the microphysical foundations of rate-and-state friction. Zbl 1270.74020
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
5
2011
Stability of strain-gradient plastic materials. Zbl 1270.74032
Dal Corso, F.; Willis, J. R.
4
2011
Regimes of frictional sliding of a spring-block system. Zbl 1193.70015
Putelat, Thibaut; Dawes, Jonathan H. P.; Willis, John R.
8
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.
5
2010
A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier. Zbl 1173.74316
Fleck, N. A.; Willis, J. R.
54
2009
A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier. Zbl 1195.74020
Fleck, N. A.; Willis, J. R.
53
2009
Size effects in the bending of thin foils. Zbl 1213.74065
Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R.
11
2009
The pair distribution function for an array of screw dislocations. Zbl 1169.74332
Vinogradov, V.; Willis, J. R.
2
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.
73
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
A dynamical interpretation of flutter instability in a continuous medium. Zbl 1120.74549
Piccolroaz, Andrea; Bigoni, Davide; Willis, John R.
6
2006
Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies. Zbl 1197.74085
Luciano, R.; Willis, J. R.
6
2006
The role of interfaces in enhancing the yield strength of composites and polycrystals. Zbl 1120.74316
Aifantis, K. E.; Willis, J. R.
43
2005
FE analysis of stress and strain fields in finite random composite bodies. Zbl 1120.74318
Luciano, R.; Willis, J. R.
7
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.
14
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.
9
2001
The influence of viscoelasticity on crack front waves. Zbl 1044.74040
Willis, J. R.; Movchan, A. B.
4
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
Lectures on mechanics of random media. Zbl 1012.74002
Willis, J. R.
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.
6
2000
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
27
1999
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte Castañeda, P.; Willis, J. R.
23
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
Stability of a dislocation: Discrete model. Zbl 0921.73229
Movchan, A. B.; Bullough, R.; Willis, J. R.
13
1998
On perturbations of plane cracks. Zbl 0918.73055
Movchan, A. B.; Gao, H.; Willis, J. R.
13
1998
On the two-point correlation function for dispersions of nonoverlapping spheres. Zbl 0958.74006
Markov, Konstantin Z.; Willis, John R.
7
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
Dynamics of composites. Zbl 0883.73052
Willis, J. R.
21
1997
Three-dimensional dynamic perturbation of a propagating crack. Zbl 0974.74555
Willis, J. R.; Movchan, A. B.
13
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.
8
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.
101
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.
118
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.
7
1994
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; 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
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.
241
1992
Some simple explicit bounds for the overall behaviour of nonlinear composites. Zbl 0764.73052
Talbot, D. R. S.; Willis, J. R.
27
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.
40
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
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
Accelerating cracks and related problems. Zbl 0709.73060
Willis, J. R.
4
1990
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
23
1989
Duality for families of natural variational principles in nonlinear electrostatics. Zbl 0682.49017
Toland, J. F.; Willis, J. R.
6
1989
A simple self-consistent analysis of wave propagation in particulate composites. Zbl 0632.73005
Sabina, F. J.; Willis, J. R.
30
1988
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
15
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.
4
1986
A variational approach to the overall sink strength of a nonlinear lossy composite medium. Zbl 0604.76078
Talbot, D. R. S.; Willis, J. R.
1
1986
Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025
Talbot, D. R. S.; Willis, J. R.
83
1985
The nonlocal influence of density variations in a composite. Zbl 0576.73009
Willis, J. R.
21
1985
Fundamentals of deformation and fracture. Eshelby Memorial Symposium, Sheffield, April 2-5, 1984. Zbl 0559.00014
1
1985
Variational principles and operator equations for electromagnetic waves in inhomogeneous media. Zbl 0533.73092
Willis, J. R.
6
1984
The overall elastic response of composite materials. Zbl 0539.73003
Willis, J. R.
64
1983
...and 40 more Documents
all top 5

Cited by 1,831 Authors

59 Willis, John Raymond
44 Ponte Castañeda, Pedro
22 Movchan, Alexander B.
20 Acharya, Amit
18 Sevostianov, Igor
18 Wang, Xu
17 Idiart, Martín I.
17 Milton, Graeme Walter
17 Suquet, Pierre-Marie
16 Sabina, Federico J.
15 Miehe, Christian
14 Bigoni, Davide
14 Lopez-Pamies, Oscar
14 Weng, George J.
13 Buryachenko, Valeriy A.
13 Fleck, Norman A.
12 Geers, Marc G. D.
12 Niordson, Christian F.
12 Zhang, Chuanzeng
11 Smyshlyaev, Valery P.
10 Chen, Weiqiu
10 Kondo, Djimédo
10 Kushch, Volodymyr I.
10 Leblond, Jean-Baptiste
10 Pan, Ernian
10 Selvadurai, A. Patrick S.
9 Antipov, Yuri A.
9 Drugan, W. J.
9 Gao, Cun-Fa
9 Kouznetsova, Varvara G.
9 Michel, Jean-Claude
9 Mishuris, Gennady S.
9 Zhao, Minghao
9 Zhou, Zhengong
8 Dormieux, Luc
8 Fan, CuiYing
8 Hellmich, Christian
8 Kanaun, Sergei K.
8 Kuna, Meinhard
8 Levin, Valery M.
8 Loboda, Volodymyr V.
8 Norris, Andrew N.
7 Bardella, Lorenzo
7 Hwu, Chyanbin
7 Lazarus, Véronique
7 Lei, Jun
7 Li, Shaofan
7 Nielsen, Kim Lau
7 Parnell, William J.
7 Piccolroaz, Andrea
7 Rodríguez-Ramos, Reinaldo
7 Schiavone, Peter
7 Slepyan, Leonid I.
7 Srivastava, Ankit
7 Steinmann, Paul
7 Wang, Biao
6 Aifantis, Elias C.
6 Barthelemy, Jean-Francois M.
6 Böhlke, Thomas
6 Bravo-Castillero, Julián
6 Chen, Zengtao
6 Conti, Sergio
6 Dineva, Petia S.
6 Fritzen, Felix
6 Govorukha, Volodymyr B.
6 Hackl, Klaus
6 Lee, Kangyong
6 Lipton, Robert P.
6 Nemat-Nasser, Sia
6 Ostoja-Starzewski, Martin
6 Peigney, Michaël
6 Rice, James Robert
6 Svendsen, Bob
5 Abrahams, I. David
5 Achenbach, Jan D.
5 Bhargava, Raj Rani
5 Bornert, Michel
5 Capuani, Domenico
5 Fabrikant, Valery I.
5 Feng, Wenjie
5 Fish, Jacob
5 Forest, Samuel
5 Franciosi, Patrick
5 Giraud, Albert
5 Gourgiotis, Panos A.
5 Hu, Gengkai
5 Lahellec, Noël
5 Llorca, Javier
5 Luciano, Raimondo
5 Mariano, Paolo Maria
5 Markenscoff, Xanthippi
5 Moulinec, Hervé
5 Nazarov, Sergeĭ Aleksandrovich
5 Ni, Luqun
5 Obrezanova, Olga A.
5 Pellegrini, Yves-Patrick
5 Pichler, Bernhard L. A.
5 Polizzotto, Castrenze
5 Radi, Enrico
5 Rangelov, Tsviatko V.
...and 1,731 more Authors
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Cited in 122 Serials

347 Journal of the Mechanics and Physics of Solids
123 Acta Mechanica
110 European Journal of Mechanics. A. Solids
85 Computer Methods in Applied Mechanics and Engineering
74 International Journal of Engineering Science
60 Wave Motion
54 International Journal of Solids and Structures
41 Computational Mechanics
40 Journal of Elasticity
40 Mathematics and Mechanics of Solids
38 Engineering Analysis with Boundary Elements
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
20 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
17 Acta Mechanica Sinica
16 Continuum Mechanics and Thermodynamics
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Meccanica
12 Archive for Rational Mechanics and Analysis
12 Journal of Engineering Mathematics
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Journal of Applied Mathematics and Mechanics
9 Applied Mathematical Modelling
8 Mathematical Methods in the Applied Sciences
6 Mechanics Research Communications
6 Mathematical Problems in Engineering
6 Waves in Random and Complex Media
6 AMM. Applied Mathematics and Mechanics. (English Edition)
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 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Fluid Mechanics
4 Quarterly of Applied Mathematics
4 Applications of Mathematics
4 SIAM Journal on Applied Mathematics
4 Multiscale Modeling & Simulation
4 International Journal of Computational Methods
3 Communications in Mathematical Physics
3 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Mathematical and Computer Modelling
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Calculus of Variations and Partial Differential Equations
3 Science in China. Series E
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Theoretical and Applied Mechanics
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 Journal on Mathematical Analysis
2 SIAM Review
2 Acta Mechanica Sinica. (English Edition)
2 International Applied Mechanics
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 Science in China. Series G
2 Chebyshevskiĭ Sbornik
2 Mathematics and Mechanics of Complex Systems
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 Journal of the Nigerian Mathematical Society
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 Numerical Algorithms
1 Journal of Statistical Computation and Simulation
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
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 Journal of Mathematical Chemistry
1 Nonlinear Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
...and 22 more Serials
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Cited in 41 Fields

1,437 Mechanics of deformable solids (74-XX)
82 Partial differential equations (35-XX)
75 Numerical analysis (65-XX)
51 Fluid mechanics (76-XX)
44 Statistical mechanics, structure of matter (82-XX)
36 Optics, electromagnetic theory (78-XX)
28 Integral equations (45-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
15 Mechanics of particles and systems (70-XX)
15 Biology and other natural sciences (92-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Geophysics (86-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Functions of a complex variable (30-XX)
8 Ordinary differential equations (34-XX)
8 Operator theory (47-XX)
6 Probability theory and stochastic processes (60-XX)
6 Statistics (62-XX)
5 Quantum theory (81-XX)
5 Operations research, mathematical programming (90-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Differential geometry (53-XX)
3 Computer science (68-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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