Boundary Elements in Dynamics
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Boundary Elements in Dynamics

Boundary Elements in Dynamics


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About the Book

The purpose of this monograph is to summarize the current state of research of the Boundary Element Method [BEM] in dynamics of continua. The main emphasis is on the development of different B.E. formulations for time-dependent problems and the necessary mathematical transformations to produce computer codes which are able to solve scalar, elastic and poroelastic wave propagation problems. Another substantial part of the book covers the application of BEM to important engineering problems in dynamics. The mathematics involved in understanding the problems discussed are given in enough detail as to make the book as self-contained as possible. Readers with almost no background in B.E. or dynamics should still find the text clear and useful. "Boundary Elements in Dynamics" has been written with a dual purpose. The intention is for it to be not only a reference work for researchers and engineers, but also a book from which scientists, graduate students and practising engineers can learn in detail the formulation, implementation and practical applications of the BEM in dynamics. This book would be appropriate as text to a course on Boundary Elements in Dynamics or as a supplement to other books in a more general course.

Table of Contents:
Part 1 Basic equations and fundamentals of wave propagation: basic equations of linear elastodynamics; formulation of the elastodynamic problem in terms of dilatation and rotation. Part 2 Harmonic problems - integral formulation and boundary elements for two dimensions: plane harmonic waves in elastic solids; reflection and refraction of plane harmonic elastic waves. Part 3 Harmonic problems - boundary elements for three dimensions: scalar wave propagation; computer code for three-dimensional scalar wave propagation using constant elements [CONDTHSH]. Part 4 Time domain formulation: fundamental solution and boundary integral formulation for transient scalar wave propagation; two-dimensional formulation. Part 5 Dual reciprocity approach for transient elastodynamics: boundary integral formulation; transformation of the domain integral. Part 6 Dynamic fracture mechanics: some basic fracture mechanics ideas; dynamic stress intensity factors. Part 7 Dynamic soil-structure interaction: dynamic stiffness of foundations; three-dimensional foundations. Part 8 Dynamic analysis of dam-soil-reservoir systems: some characteristics of the B.E. model; gravity dams. Part 9 Dynamic analysis of poroelastic media: basic equations for dynamic poroelasticity; boundary integral formulation. (Part Contents).


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Product Details
  • ISBN-13: 9781858610214
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Elsevier Applied Science
  • Edition: Illustrated edition
  • ISBN-10: 1858610214
  • Publisher Date: 31 Oct 1993
  • Binding: Hardback


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