Course Syllabus for

# Contact Mechanics Kontaktmekanik

## FHL015F, 7.5 credits

Valid from: Autumn 2015
Decided by: FN3/Per TunestÃ¥l
Date of establishment: 2015-04-09

## General Information

Division: Solid Mechanics
Course type: Third-cycle course
Teaching language: English

## Aim

The aim of the course is to provide knowledge on an up-to-date treatment of different formulations, algorithms and discretization techniques in contact mechanics.

## Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• Understand the concept continuum mechanics with contact constraints
• Understand the idea of strong form and weak form of continuum mechanics problems
• Understand the Galerkin Finite Element method to discretize the weak form
• Understand different methods of numerical treatment of inequality constraints

Competences and Skills

For a passing grade the doctoral student must

• Be able to derive the weak form from the strong form
• Be able to discretize the weak form
• Be able to implement different numerical methods for treating inequality constraints
• Be able to use different contact algorithms
• Be able to derive contact mechanics from a general continuum mechanics framework
• Be able to derive the contact constraints

Judgement and Approach

For a passing grade the doctoral student must Be able to choose suitable contact formulations depending on the contact problem

## Course Contents

1. Continuum mechanics background which includes the derivation of the contact constraints 2. Strong form, weak form 3. discretization of the contact problem 4. Solution techniques for systems of nonlinear equations with inequality constraints 5. One-dimensional contact problems 6. Two- and three-dimensional contact problems

## Course Literature

• Wriggers, P.: Computational Contact Mechanics. Springer, 2006. ISBN 9783540326083.
• Laursen, Tod A.: Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis. Springer Science & Business Media, 2002. ISBN 9783540429067.

## Instruction Details

Types of instruction: Lectures, exercises

## Examination Details

Examination format: Oral exam
Examiner: