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Time-dependent and Vibration Problems

  • Book
  • © 1985

Overview

Editors:
  1. Carlos A. Brebbia

    1. Wessex Institute of Technology, Southampton, England

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Part of the book series: Topics in Boundary Element Research (TBOU, volume 2)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Fundamentals of Boundary Integral Equation Methods in Elastodynamics

    • S. Kobayashi
    Pages 1-54

  3. Elastic Potentials in BIE Formulations

    • R. P. Shaw
    Pages 55-62

  4. Time Dependent Non-Linear Potential Problems

    • P. Skerget, C. A. Brebbia
    Pages 63-86

  5. Further Developments on the Solution of the Transient Scalar Wave Equation

    • W. J. Mansur, C. A. Brebbia
    Pages 87-123

  6. Transient Elastodynamics

    • W. J. Mansur, C. A. Brebbia
    Pages 124-155

  7. Propagation of Surface Waves

    • L. C. Wrobel, S. H. Sphaier, P. T. T. Esperança
    Pages 156-190

  8. Boundary Integral Formulation of Mass Matrices for Dynamic Analysis

    • D. Nardini, C. A. Brebbia
    Pages 191-208

  9. Boundary Element Method for Laminar Viscous Flow and Convective Diffusion Problems

    • K. Onishi, T. Kuroki, M. Tanaka
    Pages 209-229

  10. Asymptotic Accuracy and Convergence for Point Collocation Methods

    • W. L. Wendland
    Pages 230-257

  11. Back Matter

    Pages 259-262
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Keywords

About this book

This series has been developed in response to the interest shown in boundary ele­ ments by scientists and engineers. Whilst Volume 1 was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im­ portant topic it is time to produce a work of a more permanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto­ dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the effectiveness of the technique for engineering. Chapter 2 examines some of the various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for­ mulation is compared with the displacement-potential case. The special character­ istics of the elastodynamics fundamental solutions are discussed in detail and a criti­ cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problem and the suggestions for further work make an important contribu­ tion to the development of the method.

Editors and Affiliations

  • Wessex Institute of Technology, Southampton, England

    Carlos A. Brebbia

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