Boundary Integral Equation Methods for Solids and Fluids

Marc Bonnet (Autor)

Buch | Hardcover

412 Seiten

1999
John Wiley & Sons Inc (Verlag)
978-0-471-97184-9 (ISBN)

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The finite element method and the boundary element method are two computational methods available for designing structures ranging from aircraft and ships to dams and tunnels. This text presents the mathematical basis of the joint use of both methods and their computer implementation.

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.

Marc Bonnet is the author of Boundary Integral Equation Methods for Solids and Fluids, published by Wiley.

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.

Verlagsort	New York
Sprache	englisch
Maße	166 x 239 mm
Gewicht	737 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Technik ► Maschinenbau
ISBN-10	0-471-97184-7 / 0471971847
ISBN-13	978-0-471-97184-9 / 9780471971849
Zustand	Neuware