∗ elasticity and small–strain elastoplasticity
∗ time–domain and frequency–domain scalar and elastic waves
∗ fracture mechanics
Including an extensive bibliography, this text will be of considerable value and interest to graduate students, researchers and lecturers in engineering mechanics, applied maths and physics, as well as industrial practitioners working within these areas.
I. BOUNDARY INTEGRAL EQUATIONS FOR STATIC PROBLEMS : Integral Equations and Representations for the Poisson Equation;
Numerical Solution using Boundary Elements;
Integral Equations and Representations for Elastostatics;
Integral Representations of Gradients and Stresses on the Boundary;
Some Classical Mathematical Results
II. BOUNDARY INTEGRAL EQUATIONS FOR WAVE AND EVOLUTION PROBLEMS: Waves and Elastodynamics in Time Domain;
Waves and Elastodynamics in Frequency Domain;
Diffusion, Fluid Flow.
III. ADVANCED TOPICS : Variational Boundary Integral Formulations;
Exploitation of Geometrical Symmetry;
Domain Derivative and Boundary Integral Eequations.
IV. ADDITIONAL TOPICS IN SOLID MECHANICS : Boundary Integral Equations for Cracked Solids;
Initial Strain or Stress: Inclusions, Elastoplasticity.
APPENDICES : Tangential Differential Operators and Integration by Parts;
Interpolation Functions and Numerical Integration. Bibliography. Index.