Dynamic Weight Functions for a Moving Crack II. Shear Loading (2007)
A. B. Movchan, J. R. Willis, Bath Ba Ay
Dynamic weight functions are constructed for general time--dependent shear loading of a plane semi--infinite crack propagating with constant speed in an infinite isotropic elastic body. The use of...
Dynamic Weight Functions for a Moving Crack. I. Mode I Loading (2007)
Dynamic weight functions are discussed, for arbitrary time-dependent loading of a plane semi-infinite crack extending at constant speed in an infinite isotropic elastic body. Then, the weight...
Transient loading of a rapidly-advancing crack in a viscoelastic medium (2007)
Y. A. Antipov, J. R. Willis, Claverton Down, Bath Ba Ay
problem, stress-intensity factor. The problem that is studied concerns a semi-innite crack in an innite viscoelastic medium, propagating at uniform speed but subject to time-dependent loading. A...
Perturbation of a dynamic crack in an infinite strip (2005)
Movchan, N. V., Movchan, A. B., Willis, J. R.
This paper presents an asymptotic analysis of a dynamic problem of two-dimensional elasticity for a crack propagating in an infinite strip. The sides of the elastic strip are subjected to Dirichlet...
Three-point bounds for the overall properties of a nonlinear composite dielectric (1996)
TALBOT, D. R. S., WILLIS, J. R.
The Hashin-Shtrikman methodology for nonlinear composite problems relies on the use of a comparison medium and in many of the examples studied so far the comparison medium has been taken to be...
CRITICAL LOAD FOR A MODE-1 CRACK REINFORCED BY BRIDGING FIBRES (1996)
A long matrix crack in a unidirectional fibre-reinforced composite, perpendicular to the fibre direction and subjected to Mode-1 loading, is considered. The intact composite material is modelled as...
On stationary diffusion in heterogeneous media (1996)
MARKOV, K. Z., TALBOT, D. R. S., WILLIS, J. R.
This work concerns steady-state diffusion in a medium containing a random distribution of sinks. The internal structure of the medium is described in terms of geometrical correlation functions, for...
TALBOT, D. R. S., WILLIS, J. R., NESI, V.
For a composite comprising an isotropic mixture of two isotropic dielectric materials, the Hashin-Shtrikman bounds for the overall dielectric constant tensor are attainable and hence are the best...
ASYMPTOTIC ANALYSIS OF THE REINFORCEMENT OF A BRITTLE CRACK BY BRIDGING FIBRES (1993)
The subject of the paper is the cracking of a brittle matrix reinforced by unidirectional fibres. A crack is introduced into the matrix, transverse to the fibres, which bridge the crack and tend to...
The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites (1989)
Further implications of a variational structure for a class of nonlinear composites, previously discussed, are explored by introducing explicitly a variable corresponding to external loading. A...
ON HEAT DIFFUSION IN RANDOM LAMINATES (1988)
A problem posed by Clarke (1) of hear flow in a random laminated material which is constructed according to a generalized telegraph process is re-examined, employing a formulation involving an...
Bounds and Self-Consistent Estimates for the Overall Properties of Nonlinear Composites (1987)
TALBOT, D. R. S., WILLIS, J. R.
Variational ‘self-consistent’ estimates for nonlinear problems are formulated, building on a variational formulation previously developed by the authors. The formulation employs a linear...
Variational Principles for Inhomogeneous Non-linear Media (1985)
TALBOT, D. R. S., WILLIS, J. R.
Any problem that has a characterization in the form of a “minimum energy” principle usually has a dual characterization in the form of a “complementary energy” principle. Substitution of...
The Excitation of a Fluid-loaded Plate Stiffened by a Semi-infinite Array of Beams (1982)
The excitation of an infinite, fluid-loaded plate with parallel, equally spaced stiffening beams reinforcing one half of it is studied. The problem is formulated in terms of a discrete convolution...
THE OVERALL ELASTIC MODULI OF A DILUTE SUSPENSION OF SPHERES (1976)
A composite material consisting of an elastic matrix with particles of different elastic moduli embedded in it is considered. The overall moduli, which relate the mean stress in the composite to the...
THE PENNY-SHAPED CRACK ON AN INTERFACE (1972)
The problem of determining the stresses around a circular crack on the interface between two bonded dissimilar isotropic elastic half-spaces is solved when general polynomial loads are applied to the...
The title problem is formulated in terms of a set of coupled integral equations for the components of the interfacial traction vector. These equations are then solved by a method which involves...
THE ELASTIC INTERACTION ENERGY OF DISLOCATION LOOPS IN ANISOTROPIC MEDIA (1965)
The fundamental elasticity tensor for a transversely isotropic medium is evaluated explicitly from a contour integral representation given by Synge (4). It is then utilized to estimate the elastic...
ANISOTROPIC ELASTIC INCLUSION PROBLEMS (1964)
The two-dimensional elastic inclusion problem is formulated for an anisotropic medium. Explicit solutions are obtained for the elliptic inclusion, and for the perturbation of an otherwise uniform...
19790 Be-Nah Na-Zumn "Pretty Eyes". Navajo infant photographed by J.R. Willis of Gallup. Gift of Patricia C. Albers.
19790 Be-Nah Na-Zumn "Pretty Eyes". Navajo infant photographed by J.R. Willis of Gallup. Gift of Patricia C. Albers.