A Variable Load Step Solution Approach for Incremental Tangent Modulus Finite Element Analysis.

Abstract

This paper addresses the issue of load path discretization in incremental tangent modulus finite element analysis. The view is taken that discretization can best be accomplished during the course of the numerical solution by employing a constraint condition which restricts the level of structural stiffness approximation at each load step. By identifying a field variable which strongly influences the stiffness, a suitable constraint condition can be selected in terms of the nodal variables. With such a constraint, design of a solution algorithm for determining the step size along with the nodal variables is straightforward, as is demonstrated in the text. This variable load step solution approach provides the analyst with a simple yet efficient method for logically controlling step size, without having to resort to time consuming and costly reanalysis procedures to insure that the numerical approximation is within satisfactory tolerance. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA080392

Entities

People

  • Colin E. Freese
  • Dennis M. Tracey

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Convergence
  • Displacement
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Information Processing
  • Materials
  • Mechanics
  • Military Research
  • New Jersey
  • Plastic Deformation
  • Plastic Flow
  • Standards
  • Stiffness

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.