Non-classical continuum mechanics: proceedings of the London Math. Soc. Symposium, Durham, july 1986 9780521349352, 0521349354

Table of contents :
Cover......Page 1
Title Page......Page 4
Copyright......Page 5
Foreword......Page 6
LIST OF CONTENTS......Page 8
PART 1 PRINCIPAL LECTURES open bold notitalic......Page 14
Pulse Reflection by a Random Medium......Page 16
Shape Memory Alloys-Phenomenology and Simulation......Page 35
Relativistic Extended Thermodynamics......Page 49
Spectra of Singularly Perturbed Operators......Page 66
Conservation Laws in Continuum Mechanics......Page 109
On Geometric and Modeling Perturbations in Partial Differential Equations......Page 121
The Appearance of Oscillations in Optimization Problems......Page 142
PART II SINGLE INVITED LECTURES open bold notitalic......Page 164
Some Mathematical Problems Arising From the Oil Service Industry......Page 166
Randomly Diluted Inhomogeneous Elastic Networks near the Percolation Threshold......Page 179
Adaptive Anisotropy: An Example in Living Bone......Page 187
Stability of Elastic Crystals......Page 200
Optimal Bounds for Conduction in Two-Dimensional, Two-Phase, Anisotropic Media......Page 210
Rapid Flows of Granular Materials......Page 226
The Constrained Least Gradient Problem......Page 239
The Fusion of Physical and Continuum-Mechanical Concepts in the Formulation of Constitutive Relations for Elastic-Plastic Materials......Page 257
Singularities in Elliptic Non-Smooth Problems. Applications to Elasticity......Page 273
Solitons in Elastic Solids Exhibiting Phase Transitions......Page 285
On the Dynamics of Structural Phase Transitions in Shape Memory Alloy......Page 297
On the Homogenization of Some Free Boundary Problems......Page 316
The Point Interaction Approximation, Viscous Flow Through Porous Media, and Related Topics......Page 329
The Vanishing Viscosity-Capillarity Approach to The Riemann Problem for a Van Der Waals Fluid......Page 338