Details

Autor(en) / Beteiligte

• Katsikadelis, John T
• Bates Staff

Titel

Boundary elements : theory and applications [electronic resource]

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record.
• Includes bibliographical references and indexes.
• Front Cover; Boundary Elements: Theory and Applications; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction; 1.1 Scope of the book; 1.2 Boundary Elements and Finite Elements; 1.3 Historical development of the BEM; 1.4 Structure of the book; 1.5 CD-ROM contents; 1.6 References; Chapter 2. Preliminary Mathematical Concepts; 2.1 Introduction; 2.2 The Gauss-Green theorem; 2.3 The divergence theorem of Gauss; 2.4 Green's second identity; 2.5 The adjoint operator; 2.6 The Dirac delta function; 2.7 References; Problems; Chapter 3. The BEM for Potential Problems in Two Dimensions
• 3.1 Introduction3.2 Fundamental solution; 3.3 The direct BEM for the Laplace equation; 3.4 The direct BEM for the Poisson equation; 3.5 Transformation of the domain integrals to boundary integrals; 3.6 The BEM for potential problems in anisotropic bodies; 3.7 References; Problems; Chapter 4. Numerical Implementation of the BEM; 4.1 Introduction; 4.2 The BEM with constant boundary elements; 4.3 Evaluation of line integrals; 4.4 Evaluation of domain integrals; 4.5 The Dual Reciprocity Method for Poisson's equation
• 4.6 Program LABECON for solving the Laplace equation with constant boundary elements4.7 Domains with multiple boundaries; 4.8 Program LABECONMU for domains with multiple boundaries; 4.9 The method of subdomains; 4.10 References; Problems; Chapter 5. Boundary Element Technology; 5.1 Introduction; 5.2 Linear elements; 5.3 The BEM with linear boundary elements; 5.4 Evaluation of line integrals on linear elements; 5.5 Higher order elements; 5.6 Near-singular integrals; 5.7 References; Problems; Chapter 6. Applications; 6.1 Introduction; 6.2 Torsion o f non-circular bars
• 6.3 Deflection o f elastic membranes6.4 Bending o f simply supported plates; 6.5 Heat transfer problems; 6.6 Fluid flow problems; 6.7 Conclusions; 6.8 References; Problems; Chapter 7. The BEM for Two-Dimensional Elastostatic Problems; 7.1 Introduction; 7.2 Equations o f plane elasticity; 7.3 Betti ' s reciprocal identity; 7.4 Fundamental solution; 7.5 Stresses due to a unit concentrated force; 7.6 Boundary tractions due to a unit concentrated force; 7.7 Integral representation o f the solution; 7.8 Boundary integral equations; 7.9 Integral representation o f the stresses
• 7.10 Numerical soiution of the boundary integral equations7.11 Body forces; 7.12 Program ELBECON for solving the plane elastostatic problem with constant boundary elements; 7.13 References; Problems; Appendix A: Derivatives of r; Appendix B: Gauss Integration; B.1 Gauss integration of a regular function; B.2 Integrals with a logarithmic singularity; B.3 Double integrals of a regular function; B.4 Double singular integrals; B.5 References; Appendix C: Answers to selected problems; Author Index; Subject Index
• The author's ambition for this publication was to make BEM accessible to the student as well as to the professional engineer. For this reason, his maintask was to organize and present the material in such a way so that the book becomes ""user-friendly"" and easy to comprehend, taking into account only the mathematics and mechanics to which students have been exposed during their undergraduate studies. This effort led to an innovative, in many aspects, way of presentingBEM, including the derivation of fundamental solutions, the integral representation of the solutions and the boundary i
• English