Plate Estimates Involving Two Strain Parameters.

Abstract

In this report estimates for the stresses and strains and their derivatives are derived for a thin plate. An isotropic material having a strain energy density function which is an analytic function of the strain invariants is considered, and the estimates are derived from the exact three dimensional theory of elasticity. These estimates are then used to derive approximate interior plate equations with error estimates. The estimates obtained are of the same type as those derived by F. John for shells, but the work here differs from that in that consideration is restricted to plates and two strain parameters are used rather than one. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0727604

Entities

People

  • Chester B. Sensenig

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Elastic Properties
  • Equations
  • Materials
  • Mathematics
  • Physical Properties
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Structural Dynamics.