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About this book
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.
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Table of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Preface
- Chapter 1 Introduction to Contact Problems in Structural Mechanics
- Chapter 2 Contact Kinematics
- Chapter 3 Sthenics of Contact
- Chapter 4 The Constitutive Law
- Chapter 5 Contact Laws
- Chapter 6 Strong Formulation of the Contact Problem
- Chapter 7 Weak Formulation of the Contact Problem
- Chapter 8 Matrix Equations of the Contact Problem
- Chapter 9 Solution of the Quasi-static Contact Problem
- Chapter 10 Numerical Examples of Quasi-static Contact
- Chapter 11 Solution of the Dynamic Contact Problem
- Chapter 12 Numerical Examples of Dynamic Contact
- Appendix A: Variations of Kinematic Quantities
- References
- Index
- Other titles from ISTE in Mechanical Engineering and Solid Mechanics
- EULA