A New Boundary Element Formulation in Engineering

A New Boundary Element Formulation in Engineering by Tania G.B. DeFigueiredo.

1. 1 The Hybrid Displacement Boundary Element Model This work is concerned with the derivation of a numerical model for the solution of boundary-value problems in potential theory and linear elasticity. It is considered a boundary element model because the final integral equation involves some bound...

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Bibliographic Details
Main Author: DeFigueiredo, Tania G.B (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
Edition:1st ed. 1991.
Series:Lecture Notes in Engineering, 68
Springer eBook Collection.
Subjects:
Mechanics.
Chemometrics.
Computational intelligence.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 1.1 The Hybrid Displacement Boundary Element Model
  • 1.2 Historical Development of Variational Principles
  • 1.3 Variational Principles and Finite Element Models
  • 1.4 Boundary Element Method Fundamentals
  • 1.5 Boundary Element Variational Formulations
  • 2 Potential Problems
  • 2.1 Introduction
  • 2.2 Indicial Notation
  • 2.3 Basic Equations
  • 2.4 Generalized Variational Principle
  • 2.5 Derivation of the Model
  • 2.6 Symmetry of the Stiffness Matrix
  • 3 Numerical Aspects in Potential Problems
  • 3.1 Introduction
  • 3.2 The Constant Element
  • 3.3 The Quadratic Element
  • 3.4 The Vector B
  • 4 Elastostatics
  • 4.1 Introduction
  • 4.2 Basic Relations in Linear Elastostatics
  • 4.3 Modified Variational Principle
  • 4.4 Derivation of the Model
  • 5 Numerical Aspects in Elastostatics Problems
  • 5.1 Introduction
  • 5.2 The Constant Element
  • 5.3 The Quadratic Element
  • 5.4 Computation of the Submatrices Fii
  • 5.5 Body Forces
  • 6 Numerical Applications
  • 6.1 Introduction
  • 6.2 Examples for Potential Problems
  • 6.3 Elasticity Problems
  • 7 Conclusions
  • 8 Bibliography.

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