Boundary Integral Equation Methods for Solids and Fluids

1. Auflage 1999
ISBN: 978-0-471-97184-9
Verlag: Wiley

Buch, Englisch, 412 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 819 g

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)

Autoren/Hrsg.

Bonnet, Marc

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

Aus dem Inhalt:

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.

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.

Über Autor(innen)

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