A Boundary Element Method for Two-Dimensional Contact Problems (Lecture Notes in Engineering): 51 - Brossura

Karami, Ghodratollah

Brossura

ISBN 10: 3540515623 ISBN 13: 9783540515623

Casa editrice: Springer, 1992

Riassunto

This book is an attempt to demonstrate the power and versatility of Boundary Element Method (BEM) in solving the complicated contact problem. The basic concepts of contact are explained followed by the derivation of analytical and numerical boundary element formulation for two-dimensional elastic contact problems. The formulation is intended for a general case of contact, so that all different geometries in contact with different frictional conditions can be analyzed. The temperature changes and body forces are also included in the formulations.

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Contenuti

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.- 2.3.1 Frictionless contact.- 2.3.2 Frictional contact.- 2.3.3 Advancing, Stationary & receding contact.- 2.3.4 Hertzian contact.- 2.4 Interface Boundary Conditions.- 2.4.1 Separation mode.- 2.4.2 Contact mode.- 2.5 Load Increment Method.- 2.5.1 From separation to contact condition.- 2.5.2 From contact to separation condition.- 2.5.3 From sticking condition to sliding condition.- 2.5.4 From sliding condition to sticking condition.- References.- 3. Formulation of the Boundary Element Method.- 3.1 Intorduction.- 3.2 Governing Equation of Elastostatics.- 3.3 Derivation of the Integral Equation.- 3.3.1 Galerkin vector.- 3.3.2 Love’s strain function.- 3.3.3 Kelvin’s problem.- 3.3.4 Betti’s recriprocal theorem.- 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.- 4.6 Treatment of Boundary Conditions.- 4.7 Treatment of Contact Conditions.- 4.7.1 Frictional contact.- 4.7.2 Frictionless contact.- 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.- 5.2.1 Contact woth different material properties.- 5.2.2 Subsurface stresses.- 5.2.3 Load deflection relationship.- 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.- 7.4 Body-Force Contact Examples.- 7.4.1 Cradling contact problem.- 7.4.2 Gravitational force effect.- 7.4.3 Rotating disk.- 7.5 Thermo-Elastic Contact Examples.- 7.5.1 Contact of two blocks.- 7.5.2 Roller between two surfaces.- 7.5.3 Connecting rod.- References.

Product Description

Book by Karami Ghodratollah

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 3540515623
• ISBN 13: 9783540515623
• Rilegatura: Copertina flessibile
• Numero di pagine: 260
• Contatto del produttore: non disponibile
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