Bifurcation Conditions for a Thick Elastic Plate under Thrust.

Abstract

CTURAL MEMBERS, *DEFORMATION), (*ELASTIC PROPERTIES, MATHEMATICAL ANALYSIS), STRAIN(MECHANICS), TENSOR ANALYSIS, STABILITYBIFURCATION THEORY, *PLATES(STRUCTURAL MEMBERS)A thick rectangular plate of incompressible isotropic elastic material is subjected to a pure homogeneous deformation by tensile forces or thrusts applied to a pair of opposite faces. The theory of small deformations superposed on finite deformations is applied to determine the critical conditions under which bifurcation solutions (i.e. adjacent equilibrium positions) can exist. The adjacent equilibrium positions considered are those for which the superposed deformation is two-dimensional and is coplanar with the loading force and the thickness direction of the plate, the faces of the plate normal to its thickness being force-free. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0761941

Entities

People

  • K. N. Sawyers
  • Ronald Rivlin

Organizations

  • Lehigh University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Elastic Materials
  • Elastic Properties
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Physical Properties
  • Tensor Analysis
  • Tensors
  • Thickness
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.