An Invariant Infinitesimal Theory of Motions Superposed on a Given Motion.

Abstract

The development is applicable to any material but special attention is given to elastic solids. Included as a special case is an infinitesimal theory of elasticity with the following properties: (1) It is properly invariant under arbitrary (not necessarily infinitesimal) superposed rigid body motions, (2) it reduces by specialization to the theory of rigid bodies undergoing finite motion, and (3) it can be brought into correspondence with the classical linear elasticity through a suitable reinterpretation of the symbols in the constitutive equation of the latter. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA096855

Entities

People

  • J. Casey
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Capillary Electrophoresis
  • Constitutive Equations
  • Construction
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Hyperelastic Materials
  • Linear Momentum
  • Materials
  • Mechanical Engineering
  • Mechanical Properties
  • Mechanics
  • Motion
  • Rotation

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.