John Raymond Willis

John Raymond Willis's AcademicInfluence.com Rankings

John Raymond Willis

Engineering

#2647

World Rank

#3607

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Materials Science

#83

World Rank

#85

Historical Rank

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Engineering

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John Raymond Willis's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Fracture mechanics for piezoelectric ceramics (1992) (1161)
Bounds and self-consistent estimates for the overall properties of anisotropic composites (1977) (1068)
On cloaking for elasticity and physical equations with a transformation invariant form (2006) (867)
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites (1996) (860)
Variational and Related Methods for the Overall Properties of Composites (1981) (801)
The effect of spatial distribution on the effective behavior of composite materials and cracked media (1995) (687)
On modifications of Newton's second law and linear continuum elastodynamics (2007) (538)
Variational Principles for Inhomogeneous Non-linear Media (1985) (339)
Hertzian contact of anisotropic bodies (1966) (324)
Fracture mechanics of interfacial cracks (1971) (304)
A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009) (267)
The overall elastic response of composite materials (1983) (227)
The role of interfaces in enhancing the yield strength of composites and polycrystals (2005) (198)
A comparison of the fracture criteria of griffith and barenblatt (1967) (197)
Variational principles for dynamic problems for inhomogeneous elastic media (1981) (195)
On methods for bounding the overall properties of nonlinear composites (1991) (185)
The energy of an array of dislocations: Implications for strain relaxation in semiconductor heterostructures (1990) (183)
A Reformation of the Equations of Anisotropic Poroelasticity (1991) (162)
The stress-induced point defect-dislocation interaction and its relevance to irradiation creep (1975) (150)
A simple self-consistent analysis of wave propagation in particulate composites (1988) (149)
Interfaces within strain gradient plasticity: Theory and experiments (2006) (141)
Homogenization of periodic elastic composites and locally resonant sonic materials (2011) (140)
A review of theoretical and experimental work on the structure of GexSi1-x strained layers and superlattices, with extensive bibliography (1990) (139)
Self-similar problems in elastodynmics (1973) (137)
Effective constitutive relations for waves in composites and metamaterials (2011) (132)
Polarization approach to the scattering of elastic waves—I. Scattering by a single inclusion (1980) (127)
Elasticity Theory of Composites (1982) (126)
Second-order effects of dislocations in anisotropic crystals (1967) (119)
The Penny-Shaped Crack on an Interface (1972) (111)
A polarization approach to the scattering of elastic waves—II. Multiple scattering from inclusions (1980) (110)
Exact effective relations for dynamics of a laminated body (2009) (109)
Stress fields produced by dislocations in anisotropic media (1970) (104)
THE ELASTIC INTERACTION ENERGY OF DISLOCATION LOOPS IN ANISOTROPIC MEDIA (1965) (103)
ANISOTROPIC ELASTIC INCLUSION PROBLEMS (1964) (103)
Some simple explicit bounds for the overall behaviour of nonlinear composites (1992) (101)
The self-similar problem of the expanding elliptical crack in an anisotropic solid (1969) (101)
The stress field around an elliptical crack in an anisotropic elastic medium (1968) (100)
THE OVERALL ELASTIC MODULI OF A DILUTE SUSPENSION OF SPHERES (1976) (97)
Dynamics of composites (1997) (96)
A mathematical basis for strain-gradient plasticity theory — Part I : Scalar plastic multiplier (2008) (93)
On the overall properties of nonlinearly viscous composites (1988) (86)
Strain gradient plasticity under non-proportional loading (2014) (85)
The nonlocal influence of density variations in a composite (1985) (82)
Dynamic weight functions for a moving crack. II. Shear loading (1995) (82)
Variational second-order estimates for nonlinear composites (1999) (77)
Crack propagation in viscoelastic media (1967) (77)
A new study of critical layer thickness, stability and strain relaxation in pseudomorphic gexsi1-x strained epilayers (1992) (75)
The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites (1989) (74)
The construction of effective relations for waves in a composite (2012) (74)
Guidelines for Constructing Strain Gradient Plasticity Theories (2015) (68)
Bounds and self-consistent estimates for the overall properties of nonlinear composites (1987) (67)
On the microphysical foundations of rate-and-state friction (2011) (67)
On perturbations of plane cracks (1998) (65)
Matched asymptotic expansions in nonlinear fracture mechanics—III. In-plane loading of an elastic perfectly-plastic symmetric specimen (1977) (64)
A line-integral representation for the stresses due to an arbitrary dislocation in an isotropic half-space (1994) (64)
On the relation of a three-well energy (1999) (64)
The reflection of electromagnetic waves from stratified anisotropic media (1991) (63)
Negative refraction in a laminate (2016) (60)
On torsion of random composite beams (2015) (60)
Mechanical stability and electronic properties of buried strained quantum wire arrays (1995) (58)
FE analysis of stress and strain fields in finite random composite bodies (2005) (56)
Non-local constitutive response of a random laminate subjected to configuration-dependent body force (2001) (55)
Three-dimensional dynamic perturbation of a propagating crack (1997) (54)
Stable configurations in strained epitaxial layers (1992) (54)
The energy of arrays of dislocations in an anisotropic half-space (1994) (51)
Size effects in the bending of thin foils (2009) (51)
Boundary-Layer corrections for stress and strain fields in randomly heterogeneous materials (2003) (50)
The energy of an array of dislocations. II, Consideration of a capped epitaxial layer (1991) (48)
The interaction of finite gas bubbles in a solid (1969) (48)
Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two-phase composite (2004) (48)
Misfit dislocation distributions in capped (buried) strained semiconductor layers (1993) (48)
Bounds on non-local effective relations for random composites loaded by configuration-dependent body force (2000) (47)
Post-processing of diamond and diamond films: a review of some Harwell work☆ (1991) (47)
Boussinesq problems for an anisotropic half-space (1967) (47)
Variational Estimates for the Overall Response of an Inhomogeneous Nonlinear Dielectric (1986) (46)
Dislocations and inclusions (1965) (46)
Scale effects induced by strain-gradient plasticity and interfacial resistance in periodic and randomly heterogeneous media (2006) (46)
Singular perturbation solution of a class of singular integral equations (1990) (46)
The anisotropic elastic energy of a rhombus-shaped dislocation loop (1970) (40)
The influence of crack size on the ductile-brittle transition (1988) (40)
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II. Examples (1997) (39)
Self-consistent analysis of waves in a matrix-inclusion composite—I. Aligned spheroidal inclusions (1993) (39)
Some constitutive equations applicable to problems of large dynamic plastic deformation (1969) (39)
The interaction of gas bubbles in an anisotropic elastic solid (1975) (38)
Hashin–Shtrikman Based FE Analysis of the Elastic Behaviour of Finite Random Composite Bodies (2006) (37)
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I. Random microgeometry (1994) (37)
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach (2016) (35)
Stability of a dislocation : Discrete model (1998) (35)
Bounds of third order for the overall response of nonlinear composites (1997) (34)
Strain gradient plasticity: energetic or dissipative? (2015) (34)
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. II. Periodic microgeometry (1994) (33)
Variational estimates for dispersion and attenuation of waves in random composites—I: General theory (1982) (32)
Work hardening and strain relaxation in strained‐layer buffers (1991) (32)
Bounds for the effective constitutive relation of a nonlinear composite (2004) (32)
Bounds for the Creep Behaviour of Polycrystalline Materials (1991) (31)
Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks (1993) (31)
Fundamentals of deformation and fractures (1985) (30)
A ‘non-local’ variational approach to the elastic energy minimalization of martensitic polycrystals (1998) (30)
The dynamic indentation of an elastic half-space (1973) (29)
Regimes of frictional sliding of a spring-block system (2010) (29)
ON THE TWO-POINT CORRELATION FUNCTION FOR DISPERSIONS OF NONOVERLAPPING SPHERES (1998) (29)
Scattering of SH Waves by a Rough Half-Space of Arbitrary Slope (2007) (28)
Mapping stress with ultrasound (1996) (28)
Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin–Shtrikman type (2010) (28)
An examination of the effects of some idealized models of fracture on accelerating cracks (1971) (27)
The energetics of dislocation array stability in strained epitaxial layers (1993) (27)
Self-consistent analysis of waves in a matrix-inclusion composite—II. Randomly oriented spheroidal inclusions (1993) (27)
Interfacial Stresses Induced by Arbitrary Loading of Dissimilar Elastic Half-spaces Joined Over a Circular Region (1971) (27)
Upper and lower bounds for non-linear composite behaviour (1994) (27)
ASYMPTOTIC ANALYSIS OF THE REINFORCEMENT OF A BRITTLE CRACK BY BRIDGING FIBRES (1993) (26)
On methods for bounding the overall properties of nonlinear composites: Correction and addition (1992) (26)
Variational estimates for dispersion and attenuation of waves in random composites—III: Fibre-reinforced materials (1983) (25)
CRITICAL LOAD FOR A MODE-1 CRACK REINFORCED BY BRIDGING FIBRES (1996) (25)
Calculation of critical-layer-thickness and strain relaxation in GexSi1−x strained layers with interacting 60 and 90° dislocations (1993) (25)
Theoretical comparison of the stability characteristics of capped and uncapped GexSi1−x strained epilayers (1992) (24)
Linear and nonlinear scattering of elastic waves by microcracks (1994) (24)
A dynamical interpretation of flutter instability in a continuous medium (2006) (24)
Dynamic stability of a propagating crack (2002) (23)
The effect of dislocation loops on the lattice parameter, determined by X-ray diffraction (1983) (22)
IUTAM Symposium on Nonlinear Analysis of Fracture (1997) (22)
Non-local constitutive equations for functionally graded materials (2004) (22)
Matched asymptotic expansions in nonlinear fracture mechanics—I. longitudinal shear of an elastic perfectly-plastic specimen (1976) (22)
Asymptotic analysis of crack bridging by ductile fibres (1993) (21)
Improved bounds for the yield stress of a model polycrystalline material (2000) (21)
Some remarks on interfacial dislocations (1973) (21)
The effective sink strength of a random array of voids in irradiated material (1980) (21)
Two-dimensional lattice models of the Peierls type (2003) (21)
Effective relations for nonlinear dynamics of cracked solids (1996) (21)
Variational principles and operator equations for electromagnetic waves in inhomogeneous media (1984) (21)
Sliding modes of two interacting frictional interfaces (2007) (21)
The reflection of electromagnetic waves from very rough interfaces (1990) (20)
Penny-shaped crack bridged by fibres (1998) (19)
The Dislocation Loop in an Anisotropic Medium and Its Interaction with an Interstitial Atom (1974) (19)
Duality for families of natural variational principles in nonlinear electrostatics (1989) (19)
The trapping of helium at a low angle tilt boundary in molybdenum (1984) (19)
Mechanics and Physics of Layered and Graded Materials (1995) (18)
Stability of strain-gradient plastic materials (2011) (18)
The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I. Theory (1997) (18)
Numerical Solution of Nonlinear Hypersingular Integral Equations of the Peierls Type in Dislocation Theory (1999) (18)
Stability of an advancing crack to small perturbation of its path (2002) (18)
On the seismic cycle seen as a relaxation oscillation (2008) (17)
Some forms and properties of models of strain-gradient plasticity (2019) (17)
High speed indentation of an elastic half-space by conical or wedge-shaped indentors (1976) (17)
Transient loading of a rapidly advancing Mode-II crack in a viscoelastic medium (2003) (17)
Asymptotic analysis of reinforcement by frictional fibres (1997) (17)
Upper and lower bounds for the overall response of an elastoplastic composite (1998) (17)
Correction for Kailasam et al. The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I. Theory (1997) (15)
Arrivals associated with a class of self-similar problems in elastodynamics (1975) (15)
A comparison of two formulations for effective relations for waves in a composite (2012) (15)
On improving the Hashin-Shtrikman bounds for the effective properties of three-phase composite media (1995) (15)
Perturbation of a dynamic planar crack moving in a model elastic solid (1999) (15)
The dislocation void interaction (1972) (15)
Variational estimates for dispersion and attenuation of waves in random composites—II: ISotropic composites (1982) (14)
The Excitation of a Fluid-loaded Plate Stiffened by a Semi-infinite Array of Beams (1982) (14)
Some remarks on the application of the QCA to the determination of the overall elastic response of a matrix/inclusion composite (1984) (14)
Matched asymptotic expansions in nonlinear fracture mechanics—II. Longitudinal shear of an elastic work-hardening plastic specimen (1976) (14)
Asymptotic analysis in fracture: An update (1999) (13)
From statics of composites to acoustic metamaterials (2019) (12)
The pair distribution function for an array of screw dislocations (2008) (12)
The distribution of stress in an anisotropic elastic body containing an exterior crack (1970) (12)
Application of the finite element method to the vibrations of quartz plates (1974) (12)
Wave propagation in elastic media with cracks. Part I: transient nonlinear response of a single crack (1997) (12)
Self-consistent analysis of waves in a polycrystalline medium (1993) (12)
Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces (2001) (12)
Perturbation of a dynamic crack in an infinite strip (2005) (11)
THE INTERACTION ENERGY BETWEEN INTERSTITIAL ATOMS AND DISLOCATIONS AND ITS RELEVANCE TO IRRADIATION DAMAGE PROCESSES (1981) (11)
Stability of intersonic shear crack propagation (2003) (11)
A new representation for the dynamic green's tensor of an elastic half-space or layered medium (1982) (10)
Perturbation of a dynamic planar crack moving in a model viscoelastic solid (2002) (10)
The influence of viscoelasticity on crack front waves (2001) (10)
A Fracture Criterion of "Barenblatt" Type for an Intersonic Shear Crack (2004) (10)
The stress field near the tip of an accelerating crack (1992) (10)
Relationships Between Derivations of the Overall Properties of Composites by Perturbation Expansions and Variational Principles (1980) (10)
Translation and related bounds for the response of a nonlinear composite conductor (1999) (9)
The Effective Behavior of Nonlinear Composites: A Comparison between Two Methods (1993) (9)
Variational Estimates for the Overall Behavior of a Nonlinear Matrix—Inclusion Composite (1990) (9)
Three-point bounds for the overall properties of a nonlinear composite dielectric (1996) (9)
A variational approach to the overall sink strength of a nonlinear lossy composite medium (1986) (9)
Upper and Lower Bounds for the Overall Properties of a Nonlinear Elastic Composite (1995) (8)
Some thoughts on dynamic effective properties -- a working document (2013) (8)
The elastodynamic Green's tensor for a half-space with an embedded anisotropic layer (1980) (8)
Finite deformation solution of a dynamic problem of combined compressive and shear loading for an elastic-plastic half-space☆ (1975) (7)
The influence of crack size on the fracture behaviour of short cracks (1990) (7)
Fundamentals of Deformation and Fracture: Eshelby Memorial Symposium Sheffield 2-5 April 1984 (2009) (7)
Theory of Crack Front Waves (2002) (6)
Some elementary bounds (1987) (6)
Influence of spatial correlations on crack bridging by frictional fibres (1997) (6)
A discussion of crack-forking in anti-plane strain deformation (1975) (6)
Wave-modulated orbits in rate-and-state friction (2012) (6)
Crack front perturbations revisited (2013) (5)
Reformation of the equations of anisotropic poroelasticity : J Appl Mech (Trans ASME Ser E) V58, N3, Sept 1991, P612–616 (1992) (5)
The overall sink strength of an inhomogeneous lossy medium. Part I: self-consistent estimates (1984) (5)
Stability of an intersonic shear crack to a perturbation of its edge (2008) (5)
Wave propagation in elastic media with cracks. Part II: Transient nonlinear response of a cracked matrix (1999) (5)
Crack front waves in an anisotropic medium (2007) (5)
INTERACTION BETWEEN A VOID AND A DISLOCATION LOOP. (1971) (5)
Analytical aspects of heat flow in random two-component laminates (1988) (4)
An asymptotic procedure and numerical study for the analysis of an elastic body with a thin sub-surface crack (1995) (4)
Transmission and reflection at the boundary of a random two-component composite (2020) (4)
Finite Element Calculations Relevant to AT-Cut Quartz Resonators (1973) (4)
Lectures on Mechanics of Random Media (2001) (4)
Surface-breaking crack in an elastic half-space (2000) (4)
Transmission and reflection of waves at an interface between ordinary material and metamaterial (2020) (4)
Strain gradient plasticity: energetic or dissipative? (2015) (4)
The effective non-linear properties of a composite coating and a composite sandwich layer (2016) (3)
ON HEAT DIFFUSION IN RANDOM LAMINATES (1988) (3)
A micromechanics-based nonlocal constitutive equation incorporating three-point statistics for random linear elastic composite materials (2016) (3)
VARIATIONAL CHARACTERIZATION OF WAVES IN FIBRE REINFORCED MATERIALS (1983) (3)
The overall sink strength of an inhomogeneous lossy medium. Part II: variational estimates (1984) (3)
Steady-state growth of an interfacial crack by corrosion (2020) (3)
The Pair Distribution Function for an Array of Screw Dislocations: Implications for Gradient Plasticity (2009) (3)
Propagation of a Mode-II crack in a viscoelastic medium with different bulk and shear relaxation (2007) (3)
A study of obliquely propagating longitudinal shear waves in a periodic laminate (2013) (2)
The Overall Behaviour of a Nonlinear Fibre Reinforced Composite (1991) (2)
11. Self-Consistent Analysis of Waves in Rocks Containing Arrays of Cracks (1996) (2)
Second-order in-plane dynamic perturbation of a crack propagating under shear loading (2014) (2)
On stationary diffusion in heterogeneous media (1996) (2)
The influence of boundary conditions on the non-local response of a randomly heterogeneous medium (2002) (1)
FRICTIONAL SLIDING OF A MULTISLIP SYSTEM (2004) (1)
Dynamic Crack Stability (2003) (1)
Green's function for longitudinal shear of a periodic laminate (2013) (1)
A Simple Self-Consistent Analysis of Dispersion and Attenuation of Elastic Waves in a Porous Medium (1989) (1)
Two Methods for Analyzing Waves in Composites with Random Microstructure (1991) (1)
Dynamic Perturbation of A Propagating Crack: Implications for Crack Stability (2003) (1)
Stress fields associated with elastic singularities (1964) (1)
Analysis of a crack sited at a notch in an elastic-perfectly plastic strip subjected to longitudinal shear (1976) (1)
IUTAM Symposium on Nonlinear Analysis of Fracture : proceedings of the IUTAM symposium held in Cambridge, U.K., 3-7 September 1995 (1997) (1)
Asymptotic analysis in fracture (2012) (1)
SECTION 10.4 – Nonlocal Micromechanical Models (2001) (0)
3420 - STABILITY OF A DYNAMIC CRACK PROPAGATING IN AN ELASTIC STRIP (2013) (0)
IUTAM Invited Symposium Paper Abstracts (1993) (0)
New Contributions for Pulp Production from Non-linear Fibers by using Singular Integral Equations (2017) (0)
Transmission and reflection of energy at the boundary of a random two-component composite (2023) (0)
Corrugation crack front waves (2012) (0)
Workshops on Models of Fracture (1999) (0)
THE STRESS FIELD OF A SHEAR CRACK PROGAGATING IN A VISCOELASTIC MEDIUM (2004) (0)
DEVELOPMENTS IN SOLID MECHANICS AND MATERIALS SCIENCES (2014) (0)
Bounds for the Overall Creep Behaviour of Textured Polycrystals (1991) (0)
XXI ICTAM, 15–21 August 2004, Warsaw, Poland FRICTIONAL SLIDING OF A MULTISLIP SYSTEM (2010) (0)
ENGINEERING FRACTURE CRITERIA (1981) (0)
Contract N 00014-76-C-0054 MECHANICS DEPARTMENT OF ELASTICITY THEORY OF COMPOSITES MECHANICAL ENGINEERING by (0)
A Hashin-Shtrikman Approach to the Elastic Energy Minimization of Random Martensitic Polycrystals (1998) (0)
A matrix-inclusion composite (1987) (0)
DYNAMIC PERTURBATION OF A PROPAGATING CRACK (2000) (0)
Design Assessment of Austenitic Stainless Steel Components for Applications Covered by ASME III Class 1 Code Requirements (2009) (0)
3518 - THE STRESS FIELD OF A SHEAR CRACK PROPAGATING IN A VISCOELASTIC MEDIUM (2013) (0)
Variation with temperature of resonant frequencies of anisotropic plates (1974) (0)
Some recent work in crack propagation (1973) (0)
Mechanics of Composites (2004) (0)

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What Schools Are Affiliated With John Raymond Willis?

John Raymond Willis is affiliated with the following schools:

University of Bath
Centre for Mathematical Sciences
University of Cambridge

John Raymond Willis's Academic­Influence.com Rankings

Why Is John Raymond Willis Influential?

John Raymond Willis's Published Works

Published Works

What Schools Are Affiliated With John Raymond Willis?

John Raymond Willis's AcademicInfluence.com Rankings