Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course FHL015F valid from Autumn 2015

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  • English
  • If sufficient demand
  • 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.
  • 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
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
Types of Instruction
  • Lectures
  • Exercises
Examination Formats
  • Oral exam
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
  • nonlinear continuum mechanics, nonlinear finite element method
Selection Criteria
  • 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.
Further Information
  • Apply through e-mail
Course code
  • FHL015F
Administrative Information
  •  -04-09
  • FN3/Per Tunestål

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