THE FINITE ELEMENT ANALYSIS OF PHYSICALLY AND KINEMATICALLY NONLINEAR ELASTIC SOLIDS,

Abstract

A displacement formulation of the finite element method is applied to the analysis of physically and kinematically nonlinear elastic solids. The physical nonlinearity is represented by an approximate polynomial form of the strain energy function in a region about the natural unstressed state of the material. Solutions to the nonlinear equations are obtained through a variety of 'linearization' techniques. Several such techniques, based on either a sequence of linear iterations or a sequence of linear increments, are compared with respect to computational efficiency.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1969
Accession Number
AD0701897

Entities

People

  • Kenneth T. Kavanagh

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Displacement
  • Efficiency
  • Equations
  • Finite Element Analysis
  • Iterations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.