Contact mechanics course

Contact mechanics course

This course provides a general overview on the theories of contact mechanics, relevant for a wide range of disciplines ranging from materials science to engineering and geophysics. Introducing their theoretical foundations, the physical aspects of the resulting nonlinearities induced by such phenomena are emphasized.

$299.00

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Course details

Course Overview:

This course offers a comprehensive overview of contact mechanics theories, relevant across a wide spectrum of disciplines, from materials science to engineering and geophysics. It delves into the theoretical underpinnings and places a strong emphasis on understanding the physical aspects of the resulting nonlinearities induced by these phenomena.

Course Objectives:

The primary objectives of this course include:

  • Covering the fundamentals of contact mechanics with a practical implementation focus.
  • Emphasizing the underlying theory and providing essential information about differential geometry and mathematical methods needed for independently constructing computational algorithms. These skills are critical for mechanics courses.
  • Presenting computational contact mechanics in a step-by-step manner.

Course Outline:

Module 1:

  • Introduction to static, sliding, and rolling contact mechanics between surfaces.
  • Introduction to novel experimental analysis methods and theoretical models for friction processes.

Module 2:

  • Normal contact without adhesion, including Hertzian contact and its variations.
  • Tangential contact problems.
  • Rolling contact.
  • Contact between rough surfaces based on Persson’s theory.

Module 3:

  • Delving into the Cattaneo-Mindlin theory for frictional contact.
  • Numerical methods, particularly the Penalty method.
  • Utilizing Lagrange multipliers in Finite Element Method (FEM) and the active set strategy in Boundary Element Method (BEM).
  • Further exploration of contact between rough surfaces, involving statistical and numerical methods.

Module 4:

  • Examination of rubber friction.
  • Adhesive contact.
  • Addressing thermal and electrical effects in contacts.
  • Study of plastic contacts and the stick-slip effect.

Module 5:

  • Introduction to the Prandtl-Tomlinson model.
  • Overview of nanotribology.
  • Insights into nanomanipulation and wear.

Who Should Attend:

This course is designed for the following audiences:

  • Individuals new to the field of contact mechanics.
  • Engineers seeking a foundational understanding of contact mechanics.
  • Experienced engineers looking to refresh or revise their knowledge.
  • Engineers and designers interested in optimizing the practical application of contact mechanics.

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