Computational Contact Mechanics

Welcome to this learning project about computational contact mechanics!

Introduction
Computational Contact Mechanics deals with problems related to contact problems in the area of classical mechanics using computational means (like finite or boundary element methods). With increase in computational power, significant progress has been made towards robust numerical solutions to complicated contact problems. Owing to the complex nonlinear nature of contact,theoretical solutions are restricted to simple scenarios like Hertzian contact etc.

Project metadata

 * Suggested Prerequisites:
 * Linear algebra
 * Partial differential equations
 * Nonlinear finite elements
 * Continuum mechanics
 * Contact mechanics
 * Time investment: 6 months
 * Portal: Engineering and Technology
 * School: Engineering
 * Department: Mechanical engineering
 * Level: Senior year undergraduate and graduate students

Content summary
This is an introductory course on basics of computational contact mechanics and addresses problems of contact between two or more solid bodies. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.

Goals
This learning project aims to.
 * provide the mathematical foundations for formulation of contact problems using the finite element method
 * expose students to some of the recent trends and research areas in contact mechanics

Contents
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Syllabus and Learning Materials

 * 1) Mathematical Preliminaries


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Assignments

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Textbooks

 * A Guide for Engineers to Computational Contact Mechanics by G. Zavarise, P. Wriggers and U. Nackenhorst, The TCN series on simulation based engineering and sciences, 2006, ISBN-13 978-88-95176-00-0.
 * Computational Contact Mechanics by P. Wriggers, Springer, 2002, ISBN-13 978-3-540-32608-3
 * Computational Contact and Impact Mechanics by T. A. Laursen, Springer, 2002, ISBN-13 978-3-662-04864-1
 * Contact Mechanics and Friction. Physical Principles and applications by V.L. Popov, 2nd Edition, Springer, 2017, Chapter 19,