Blick ins Buch

Elastic Contact Analysis by Boundary Elements

Susumu Takahashi (Autor)

Buch | Softcover

VI, 217 Seiten

1991 | 1. Softcover reprint of the original 1st ed. 1991
Springer Berlin (Verlag)
978-3-540-54010-6 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

This book presents a new formulation of the boundary element method for two-dimensional and axisymmetric contact problems. The solution procedure includes the effects of non-frictional as well as frictional contact between elastic bodies. Following a literature survey of various experimental and analytical approaches for solving elastic contact problems, a comprehensive review of numerical techniques used for analyses of contact problems is presented. 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. For analysis of contact problems, boundary elements are employed to compute flexibility matrices representing the relationship between tractions and displacements only at nodes coming into contact. The contact analysis is performed using the flexibility matrices in conjunction with contact boundary conditions. In this approach, only equations corresponding to the node coming into contact are required and consequently very efficient computation is achieved. Furthermore, the boundary element analysis and the contact analysis are performed separately, which makes it easy to implement the contact analysis procedure into boundary element codes. A new contact criterion for nodes coming into contact is proposed. Load incremental and iterative schemes are used to obtain accurate solutions. Some classical Hertz and non-Hertz contact problems are studied and results are found to be in good agreement with analytical and other numerical solutions.

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.

Erscheint lt. Verlag	24.6.1991
Reihe/Serie	Lecture Notes in Engineering
Zusatzinfo	VI, 217 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 242 mm
Gewicht	397 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Bauwesen
	Technik ► Maschinenbau
Schlagworte	Boundary element method • Elasticity • Elastizität • Kräfteermittlung • Randelementmethode • Randelementmethode / Boundary-Elemente • rigid body • Stress analysis
ISBN-10	3-540-54010-5 / 3540540105
ISBN-13	978-3-540-54010-6 / 9783540540106
Zustand	Neuware