Front Cover; Mechanics of Material Interfaces; Copyright Page; Preface; List of Contributors; Table of Contents; PART I: FUNDAMENTAL PHENOMENA AT INTERFACES WITH FRICTIONAL CONTACT; CHAPTER 1. INTERFACE MODELS, VARIATIONAL PRINCIPLES AND NUMERICAL SOLUTIONS FOR DYNAMIC FRICTION PROBLEMS; ABSTRACT; INTRODUCTION. AN INTERFACE MODEL; SOME FRICTIONAL CONTACT PROBLEMS IN ELASTICITY THEORY; FINITE ELEMENT APPROXIMATIONS AND ALGORITHMS; NUMERICAL EXAMPLES; REFERENCES; CHAPTER 2. HEMIVARIATIONAL INEQUALITIES IN FRICTIONAL CONTACT PROBLEMS AND APPLICATIONS; ABSTRACT; INTRODUCTION.

NONMONOTONE BOUNDARY CONDITIONS OF UNILATERAL AND FRICTIONAL CONTACTBOUNDARY VALUE PROBLEMS AND HEMIVARIATIONAL INEQUALITIES; Acknowledgements; References; CHAPTER 3. THE INFLUENCE OF SLIP HARDENING AND INTERFACE COMPLIANCE ON CONTACT STRESS DISTRIBUTIONS. A MATHEMATICAL PROGRAMMING APPROACH; ABSTRACT; 1. INTRODUCTION; 2. THE ELASTIC CONTACT PROBLEM WITH A GENERAL FRICTION LAW; 3. VARIATIONAL FORMULATION, DISCRETIZATION AND SOLUTION METHOD; 4. APPLICATION; REFERENCES; PART II: MODELLING OF INTERFACES IN GEOMECHANICS; CHAPTER 4. ON THE MODELING OF CONTACT PROBLEMS WITH DILATION; ABSTRACT.

Introductionconstitutive equations for joints; slip criteria and slip potentials for contact with dilation; examples; acknowledgement; references; chapter 5. torsional response of cylindrical rigid inclusions with interface slip; abstract; introduction; fundamental solution; uniform rigid cylindrical inclusion embedded in a halfspace; numerical results; conclusions; references; chapter 6. constitutive modelling for interfaces under cyclic loading; summary; introduction; nonlinear behavior; conclusions; acknowledgment; references; part iii: contact and inclusion problems.

Chapter 7. a finite element method for contact problems with finite deformations and mixed boundary conditionsabstract; introduction; geometry of contact region; constitutive relations; finite element implementation; sphere on a semi-infinite body; sphere on plate; conclusion; references; chapter 8. effect of interface properties on wave propagation in a medium with inclusions; abstract; introduction; scattering by a spherical inclusion surrounded by a thin layer; propagation of effective plane waves through the composite medium; references.

Chapter 9. stability of a long cylindrical shell with partial contact at the end faceabstract; introduction; contact of a cylindrical shell and a half-space; stability problems with partial contact; references; part iv: interface problems in geomechanics; chapter 10. unilateral contact at an internally indented smooth elastic interface; abstract; introduction; fundamental equations; the unilateral contact problem; the internal indentation problem; tensile loading of the annular crack; the separation zone; numerical results and conclusions; references.

The category of problems which examines the mechanical behaviour of contact regions constitutes an important branch of applied mechanics with extensive engineering applications. The results of such research can be applied to the study of mechanics of composite materials, tribology, soil-foundation interaction, mechanics of rock interfaces, modelling of damage phenomena and micro-mechanics. In classical studies, the modelling of interface responses has focussed on purely idealized forms of interface phenomena which range from frictionless contact to bonded contact, with Coulomb friction or fi