A Lagrange Multiplier/Segment Procedure for Solution of Three-Dimensional Contact Problems

Abstract

A solution procedure for finite element analysis of three-dimensional contact conditions is presented. The area of contact can vary, frictional conditions are included using Coulomb's law of friction and static or dynamic conditions can be considered. Various sample solutions are presented to demonstrate the applicability of the solution algorithm. Keywords include: Contact Problem Algorithm, Finite Element Structural Analysis, Lagrange Multiplier Contact Forces, Multiplier/Segment Procedure, ADINA Finite Element Program, Frictional Sliding and Sticking Contact, Implicit Solution Technique, Hertz axisymmetric contact, and Longitudinal Impact of bars.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA161838

Entities

People

  • A. B. Chaudhary
  • K. J. Bathe

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Counter WMD
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force Facilities
  • Axisymmetric
  • Civil Engineering
  • Computational Science
  • Engineering
  • Engineers
  • Equations
  • Friction
  • Geometry
  • Mechanical Engineering
  • Military Research
  • National Security
  • Sliding Contacts
  • Structural Analysis
  • Three Dimensional
  • Transient Response Analysis
  • Weapons

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).