An Augmented Alagrangian Formulation for the Finite Element Solution of Contact Problems.

Abstract

A solution method for small deformation frictionless contract problems is developed. First, a review of various solution methods for contact problems is given. Next, a detailed discussion is made of the augmented Lagrangian method. Then, the finite element implementation is discussed. Finally, sample problems and their solutions are presented to demonstrate the usefulness of the method. Both the static and dynamic solution algorithms are described in this report. Keywords: Structural analysis; Lagrange multipliers; and Penalty functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1986
Accession Number
ADA166649

Entities

People

  • Joseph A. Landers
  • Robert L. Taylor

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • California
  • Civil Engineering
  • Contracts
  • Eigenvalues
  • Engineering
  • Equations
  • Errors
  • Finite Element Analysis
  • Geometry
  • Linear Systems
  • Mechanics
  • New Jersey
  • New York
  • Precision
  • Structural Analysis
  • Variational Equations

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design