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Lecture Notes in Engineering

A Boundary Element Method for Two-Dimensional Contact Problems

  • Book
  • © 1989

Overview

Authors:
  1. Ghodratollah Karami

    1. Dept. of Mechanical Engineering, School of Engineering, Shiraz University, Shiraz, Iran

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Part of the book series: Lecture Notes in Engineering (LNENG, volume 51)

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Table of contents (7 chapters)

  1. Front Matter

    Pages N2-VIII
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  2. Introduction

    • Ghodratollah Karami
    Pages 1-7

  3. The Contact Problem

    • Ghodratollah Karami
    Pages 8-33

  4. Formulation of the Boundary Element Method

    • Ghodratollah Karami
    Pages 34-56

  5. Numerical Solution of the Boundary Element Method

    • Ghodratollah Karami
    Pages 57-107

  6. Application of the BEM Method to Hertzian Contact Problems

    • Ghodratollah Karami
    Pages 108-144

  7. Non-Hertzian Contact Problems

    • Ghodratollah Karami
    Pages 145-203

  8. Thermoelastic Body Force Contact Problems

    • Ghodratollah Karami
    Pages 204-239

  9. Back Matter

    Pages 240-246
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Keywords

About this book

The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro­ duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo­ -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric­ tional conditions. The analysis is limited to linear elasto­ statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa­ tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed.

Authors and Affiliations

  • Dept. of Mechanical Engineering, School of Engineering, Shiraz University, Shiraz, Iran

    Ghodratollah Karami

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