Boundary Integral Equation Methods for Solids and Fluids
(Sprache: Englisch)
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...
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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.
Klappentext zu „Boundary Integral Equation Methods for Solids and Fluids “
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 the modern regularization approach - the fundamental starting point for research in this field. Secondly, a clear description of BIE formulations for wave and elastodynamics problems, in both time and frequency domains is presented. Finally, recent research in the field, related to variational integral formulations, use of geometrical symmetry, shape sensitivity and fracture mechanics is summarised. Within the text a broad range of application areas, industrial as well as research related, are examined. These include: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.
Inhaltsverzeichnis zu „Boundary Integral Equation Methods for Solids and Fluids “
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.
Bibliographische Angaben
- Autor: Marc Bonnet
- 1999, 1. Auflage, XX, 392 Seiten, Maße: 15,7 x 23,5 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471971847
- ISBN-13: 9780471971849
- Erscheinungsdatum: 22.06.1999
Sprache:
Englisch
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