SIMPLE FORCE MULTIPOLES IN THE THEORY OF DEFORMABLE SURFACES,

Abstract

The paper is concerned with a nonlinear theory of simple force multipoles for a deformable surface, embedded in a Euclidean 3-space; the surface is not necessarily elastic. The theory is developed with the use of basic thermodynamical principles, together with invariance conditions under superposed rigid body motions. For simplicity, the basic kinematical ingredients are restricted to be the (ordinary) monopolar velocity of the surface and suitable first and second order gradients of the velocity. The theory of an elastic surface and other special cases of the general theory which bear on the foundations of the classical theory of shells are also discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0642130

Entities

People

  • Alex E.S. Green
  • M. M. Balaban
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Invariance
  • Mathematics
  • Motion

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Theoretical Analysis.

Technology Areas

  • Space