Symmetry and Global Bifurcation in Nonlinear Solid Mechanics

Abstract

Symmetry methods and group-theoretic ideas are combined with tools from nonlinear analysis to solve finite deformation problems of nonlinear elastomechanics. A key feature of the work is the ability to perform detailed global bifurcation analyses of differential equations with symmetries. Keywords: Symmetry, Bifurcation, Nonlinear, Structures, Elasticity, Buckling, Stability, Post buckling.

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Document Details

Document Type
Technical Report
Publication Date
Apr 27, 1990
Accession Number
ADA221981

Entities

People

  • Timothy J. Healey

Organizations

  • Cornell University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Applied Mathematics
  • Boundary Value Problems
  • Calculus Of Variations
  • Civil Engineering
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Mathematics
  • Mechanics
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Symmetry
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.