Computational Contact Mechanics

ISBN-13: 9780471496809 / Angielski / Twarda / 2002 / 488 str.

Peter Wriggers; P. Wriggers;Wriggers

Opis

Contact mechanics is a specialist area in engineering mechanics. It deals with non standard mechanics which frequently appear in real technical applications. Examples include the simulation of car crashes, human joints, car tyres, rubber seals and metal forming processes. Modern numerical simulation methods are used to model these objects and their behaviour.
Contact problems are an area of great technical importance in industrial applications in mechanical and civil engineering, however only very few problems involving contact can be solved analytically. For most industrial applications, numerical methods have to be applied since the contacting bodies have complex geometries, undergo large deformations (including time dependent responses) or are affected by other factors. The range of applications starts with relatively simple problems such as foundations or bearings, and includes metal forming processes, rubber sealings, drilling problems, crash analysis of cars, and even biomechanics, where human joints, implants or teeth are under consideration. Although other numerical and analytical schemes can also be used, this book concentrates mainly on finite element techniques for the treatment of contact problems, including new approaches such as adaptive finite element methods.
* At the cutting edge of an area of significant (and growing) interest in computational mechanics
* Covers the theoretical background of simulations and discusses modern numerical simulation methods
* Relates to many engineering applications
A valuable reference resource for graduate and postgraduate students, as well as engineers involved in numerical simulation in industry (e.g. aeronautics, car and tyre design, biomechanics, metal forming).

Spis treści

Preface.

Introduction.

Introduction to Contact Mechanics.

Continuum Solid Mechanics and Weak Forms.

Contact Kinematics.

Constitutive Equations for Contact Interfaces.

Contact Boundary Value Problem and Weak Form.

Discretization of the Continuum.

Discretization, Small Deformation Contact.

Discretization, Large Deformation Contact.

Solution Algorithms.

Thermo–mechanical Contact.

Beam Contact.

Adaptive Finite Element Methods for Contact Problems.

Computation of Critical Points with Contact Constraints.

Appendix A: Gauss Integration Rules.

Appendix B: Convective Coordinates.

Appendix C: Parameter Identification for Friction Materials.

References.

Index.

Blurb

Boundary value problems involving contact are important for industrial applications in both mechanical and civil engineering, such as structural foundations, bearings, metal forming processes, rubber sealings, drilling problems, crash analysis of cars, rolling contact between car tyres and the road, cooling of electronic devices, and many more. Other applications are related to biomechanical engineering design, where human joints, implants or teeth are considered. Due to this variety, contact problems today are combined either with large elastic or inelastic deformations, including time–dependent responses. Thermal coupling may also have to be considered, and even stability behaviour has to be linked to contact, such as wrinkling arising in metal forming problems.

The topic of computational contact is described in depth here, providing different formulations, algorithms and discretisation techniques for contact problems that have been established in the geometrically linear and nonlinear ranges. This book provides the necessary continuum mechanics background. Special geometrical relations needed to set up the contact constraints are derived, and constitutive equations stemming from tribology which are valid at the contact interface are discussed in detail, without going into a numerical treatment. Solid and beam contact is considered, as is contact of unstable systems and thermomechanical contact. The algorithmic aspects cover a broad range of solution methods. Additionally, adaptive discretisation techniques for contact analysis are presented as a modern tool for engineering design simulations.

This book:

• applies to a wide variety of industrial applications,
• starts from a sound continuum mechanics background,
• introduces new discretisation techniques and algorithms, and
• includes thermo–mechanical considerations and adaptive methods.

Computational Contact Mechanics has been written not only for graduate, Masters and PhD students, but also for engineers in the car, tyre and packaging industries who simulate contact problems in practical applications and need to understand the theoretical and algorithmic background of contact treatment in modern finite element systems.