On the Formulation of Contact Problems of Shells and Plates.

Abstract

The equations of motion in terms of resultants and the constitutive equations in the theory of shells and plates are ordinarily derived from the three-dimensional equations relative to an interior surface, often taken to be the middle surface in the reference configuration of the shell-like body. This usual formulation is not, in general, applicable to contact problems of shells for which one of the major surfaces, e.g., the upper surface, is specified as the reference surface. The present paper is concerned with the transformation relations between the relevant variables (and hence also the response functions) of the traditional formulation and one which can be obtained relative to one of the major surfaces.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA016056

Entities

People

  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Equations Of State
  • Mathematics
  • Partial Differential Equations
  • Three Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.