Boundary Integral Equation Methods for Solids and Fluids [Hardcover]

The boundary element method is more appropriate than the finite element method to tackle linear, wave propagation, infinite domain, mobile boundaries and unknown boundaries problems. In some engineering applications, both methods are combined. This book presents the mathematical basis of this method and its computer implementation. Numerous applications to fluid mechanics, mechanics of solids, acoustics and electromagnetism are developed.Basic principle and domains of application.

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.

Marc Bonnet is the author of Boundary Integral Equation Methods for Solids and Fluids, published by Wiley.Going far beyond the standard texts, this book extensively covers boundary integral equation (BIE) formulations and the boundary element method (BEM). The first section introduces BIE formulations for potential and elasticity problems, following tl³D