Boundary Integral Equation Methods for Solids and Fluids
1. Auflage April 1999
XX, 392 Seiten, Hardcover
Wiley & Sons Ltd
Kurzbeschreibung
Das Design von Strukturen mittels BEM (Boundary Equation Methods) ist die Grundlage für zahlreiche Konstruktionsverfahren - Autos, Flugzeuge, Konzertsäle werden unter Anwendung dieser Methode entworfen. Der Autor - eine weltweit anerkannte Größe auf diesem Gebiet - behandelt die mathematischen Grundlagen und die Computersimulation dieses Verfahrens. (05/97)
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 Principles 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 Equations; IV - Additional Topics in Solid Mechanics: Boundary Integral Equations for Cracked Solids; Initial Strain or Stress Inclusions; Elastoplasticity.
