Contact in Structural Mechanics

A Weighted Residual Approach

Anh Le van (University of Nantes, France)

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English

ISTE Ltd and John Wiley & Sons Inc
14 June 2024

Engineering graphics & technical drawing; Mechanical engineering

Contact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization.

This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix – an essential ingredient for iterative calculation – is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method.

By: Anh Le van (University of Nantes France)
Imprint: ISTE Ltd and John Wiley & Sons Inc
Country of Publication: United Kingdom
Weight: 676g
ISBN: 9781786309068
ISBN 10: 1786309068
Pages: 288
Publication Date: 14 June 2024
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Preface ix 1 Introduction to Contact Problems in Structural Mechanics 1 2 Contact Kinematics 23 3 Sthenics of Contact 37 4 The Constitutive Law 39 5 Contact Laws 45 6 Strong Formulation of the Contact Problem 51 7 Weak Formulation of the Contact Problem 55 8 Matrix Equations of the Contact Problem 69 9 Solution of the Quasi-static Contact Problem 109 10 Numerical Examples of Quasi-static Contact 157 11 Solution of the Dynamic Contact Problem 197 12 Numerical Examples of Dynamic Contact 213 Appendix A: Variations of Kinematic Quantities 239 References 247 Index 257

Anh Le van is Professor of Structural Mechanics in the Faculty of Science and Technology, University of Nantes, France. His research at the Research Institute in Civil and Mechanical Engineering (GeM) focuses on membrane structures and, more specifically, on contact and bifurcation problems in these structures.