Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems
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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1989, 1989
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| Edition: | 1st ed. 1989 |
| Series: | Lecture Notes in Engineering
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 4.6 Treatment of Boundary Conditions
- 4.7 Treatment of Contact Conditions
- 4.8 Solution to the System of Equations
- 4.9 Stresses at the Boundary
- 4.10 Stresses and Displacements at Interior Points
- 4.11 Calculation of Forces on Every Boundary Element
- 4.12 Modified Load Increment Factor for Parabolic Elements
- 4.13 Final Remarks
- References
- 5. Application of the Bem to Hertzian Type Contact Problems
- 5.1 Two-dimensional Hertzian Contact
- 5.2 Two-dimensional Hertzian Modelling-Contact of Rollers
- 5.3 Determination of the External Load
- References
- 6. Application of Bem to Non-Hertzian Contact Problems
- 6.1 Introduction
- 6.2 Elastic Punch on an Elastic Foundation
- 6.3 Connecting Rod
- 6.4 Turbine Blade Root Fastenings
- 6.5 A Circular Inclusion in an Infinite Plate
- References
- 7. Application of Bem to Thermo-Elastic Body-Force Contact Problems
- 7.1 Governing Equations
- 7.2 Analytical Treatment
- 7.3 Numerical Treatment
- Content
- 1. Introduction
- References
- 2. The Contact Problem
- 2.1 Analytical Treatment of Contact
- 2.2 Numerical Treatment of Contact
- 2.3 General Description of Contact Problems
- 2.4 Interface Boundary Conditions
- 2.5 Load Increment Method
- References
- 3. Formulation of the Boundary Element Method
- 3.1 Intorduction
- 3.2 Governing Equation of Elastostatics
- 3.3 Derivation of the Integral Equation
- 3.4 Integral Equations for Dispacements and Stresses at Interior Points
- 3.5 The Boundary Integral Equation
- 3.6 The Boundary Integral Equation for Contact Problems
- 3.7 Final Remarks
- References
- 4. The Numerical Solution to Boundary Element Method
- 4.1 Review of Various Numerical Formulations
- 4.2 Parametric Representation of Geometry and Functions
- 4.3 Numerical Formulation of Boundary Integral Equations
- 4.4 Evaluation of Equation Coefficients
- 4.5 Formation of Coefficient Matrix of the Equations
- 7.4 Body-Force Contact Examples
- 7.5 Thermo-Elastic Contact Examples