Boundary Integral Equation Methods for Solids and Fluids
1. Edition April 1999
XX, 392 Pages, Hardcover
Wiley & Sons Ltd
Short Description
One of two different computational methods used in the design of structures, boundary integral equations are used to tackle linear, wave propagation, infinite domain, mobile boundaries, and unknown boundaries problems. This method is used in the design of the mechanics of cars and spacecraft profile, the acoustics in a concert hall, and the electromagnetism of submarines, to name a few potential applications.
One of two different computational methods used in the design of structures, boundary integral equations are used to tackle linear, wave propagation, infinite domain, mobile boundaries, and unknown boundaries problems. This method is used in the design of the mechanics of cars and spacecraft profile, the acoustics in a concert hall, and the electromagnetism of submarines, to name a few potential applications.
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.
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.
