Computational Contact Mechanics

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Stresses in a contact area loaded simultaneously with a normal and a tangential force. Stresses were made visible using photoelasticity.

Welcome to this learning project about computational contact mechanics!


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[edit]

Educational level: this is a tertiary (university) resource.
Subject classification: this is an engineering resource.

Content summary[edit]

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.


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


Syllabus and Learning Materials

Syllabus and Learning Materials[edit]

  1. Mathematical Preliminaries
Assignments, tests and quizzes


Textbooks and References[edit]

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Physical Principles and Applications[edit]


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