A GENERAL THEORY OF A COSSERAT SURFACE.

Abstract

A general dynamical theory is discussed of a Cosserat surface, i.e., a deformable surface embedded in a Euclidean 3-space to every point of which a deformable vector is assigned. These deformable vectors, called directors, are not necessarily along the normals to the surface and possess the property that they remain invariant in length under rigid body motions. An elastic Cosserat surface and other special cases of the theory which bear directly on the classical theory of elastic shells are also discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0619945

Entities

People

  • Alex E.S. Green
  • Paul M. Naghdi
  • W. L. Wainwright

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Elastic Shells

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Structural Dynamics.

Technology Areas

  • Space