A Solution Method for Large Deformation Contact Problems.

Abstract

A solution procedure for the analysis of planar and axisymmetric contact problems involving sticking, frictional sliding and separation under large deformations is presented. The contact conditions are imposed using the total potential of the contact forces with the geometric compatibility conditions, which leads to contact system matrices and force vectors. Some key aspects of the procedure are the gradient matrix corresponding to sliding, the use of distributed tractions on the contact segments for deciding whether a node is sticking, sliding, or releasing and the evaluation of the nodal point contact forces. The solutions to various sample problems are presented to demonstrate the applicability of the algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA149842

Entities

People

  • K. J. Bathe

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
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  • Weapons Technologies

DTIC Thesaurus Topics

  • Civil Engineering
  • Commerce
  • Computational Science
  • Contracts
  • Engineering
  • Equations
  • Finite Element Analysis
  • Friction
  • Iterations
  • Mathematical Analysis
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • National Security
  • Numerical Analysis
  • Security
  • Sliding Contacts

Readers

  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)