Elastic Contact Analysis by Boundary Elements

Susumu Takahashi

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
24 June 1991

Analytical mechanics; Tribology (friction & lubrication); Mechanics of solids

Series: Lecture Notes in Engineering

This text presents elastic contact analysis in two-dimensional and axisymmetric modes, using boundary element method. The solution procedure includes the effects of frictional as well as non-frictional contact between elastic bodies. The first two chapters serve as an introduction to the field and offer a bibliographic survey of various approaches for solving elastic contact problems. In Chapter 3, the boundary element formulations for two-, three-dimensional and axisymmetric problems in elasticity are derived and numerical implementation using constant and linear elements is described. In Chapter 4, two-dimensional contact analysis between an elastic body and a rigid body, and elastic bodies is discussed. In the new approach for solving elastic contact problems, boundary element analysis and contact analysis are performed separately. The approach, therefore, is easy to implement into boundary element programmes. In order to obtain accurate results, an incremental and an iterative procedure is applied. Hertz and non-Hertz problems, with and without friction contact are also studied. In Chapter 5, the approach is extended to apply axisymmetric contact analysis between two elastic rings which have a common central axis. Linear elements are employed for discretization. Internal pressure, interference between two rings and friction are taken into account. The computed results are compared with analytical solutions. This monograph on elasticity, computational mechanics and tribology is intended for researchers in the field.

By: Susumu Takahashi
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of the original 1st ed. 1991
Volume: 67
Dimensions: Height: 242mm, Width: 170mm, Spine: 12mm
Weight: 399g
ISBN: 9783540540106
ISBN 10: 3540540105
Series: Lecture Notes in Engineering
Pages: 217
Publication Date: 24 June 1991
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

1: Introduction.- 2: Overview of Contact Analysis.- 2.1 Introduction.- 2.2 Experimental Approach.- 2.3 Analytical Approach.- 2.4 Numerical Approach.- 2.5 Remarks.- 3: Boundary Elements Formulation in Elastostatics.- 3.1 Introduction.- 3.2 Governing Equations.- 3.3 Fundamental Solutions.- 3.4 Integral Equations.- 3.5 Boundary Integral Equations.- 3.6 Displacements and Stresses at Internal Points.- 3.7 Boundary Elements Discretization.- 4: Two-Dimensional Contact Analysis.- 4.1 Introduction.- 4.2 Contact Analysis between Elastic Body and Rigid Body.- 4.3 Contact Analysis betwene Elastic Bodies.- 5: Axisymmetric Contact Analysis.- 5.1 Introduction.- 5.2 Boundary Element Analysis.- 5.3 Contact Analysis.- 5.4 Numerical Application.- 6: Conclusions.- References.- Appendix I: Cartesian Tensor Notation.- Appendix II: Dirac Delta Function.- Appendix III: Hertz (Analytical) Solutions for Cylindrical and Axisymmetric Contact Problems.

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Elastic Contact Analysis by Boundary Elements

Susumu Takahashi

$251.95 $201.58

Paperback

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