Collocation and Finite Elements - A Combined Method

Abstract

The report discusses advantages/disadvantages of the finite element techniques and of the modified mapping-collocation (MMC) techniques for analytical solutions of fracture mechanics problems. The paper reports on one of several Army Materials and Mechanics Research Center investigations toward development of a procedure aimed at combining the two techniques to take advantage of the best features of each. Examples and their solutions using first the MMC formulation and then the finite element formulation are presented; lastly, the examples are addressed using a combined methods formulation. Results and observations relative to the three methods are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0782945

Entities

People

  • Colin E. Freese

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • California
  • Commerce
  • Computer-Aided Design
  • Coordinate Systems
  • Displacement
  • Equations
  • Materials
  • Mechanics
  • Michigan
  • Modulus Of Elasticity
  • Stresses
  • Theses
  • Two Dimensional
  • United States
  • United States Government

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).
  • Systems Analysis and Design