LINEAR THEORY OF COSSERAT SURFACE AND ELASTIC PLATES OF VARIABLE THICKNESS,

Abstract

Within the scope of the linear isothermal theory of an elastic Cosserat surface, constitutive equations are derived for an initially flat Cosserat surface in which the initial director (along the normal to the initial surface) is allowed to depend on the surface coordinates. These constitutive equations correspond to those for bending and stretching of a transversely isotropic three dimensional plate. Special attention is given to the relevance and applicability of the results to bending of (three dimensional) plates of variable thickness and comparison is made with a set of equations for elastic plates of variable thickness obtained, by an approximation procedure, from the three dimensional equations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0702092

Entities

People

  • Alex E.S. Green
  • M. L. Wenner
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Cooperation
  • Differential Equations
  • Equations
  • Equations Of State
  • Geometry
  • Mathematics
  • Partial Differential Equations
  • Physical Properties
  • Sizes (Dimensions)
  • Thickness
  • Three Dimensional

Readers

  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.