Lecture Notes in Engineering: A Boundary Element Method for Two-Dimensional Contact Problems - Tapa blanda

Sinopsis

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.

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