Small Strain Accompanied by Moderate Rotation

Abstract

This paper is mainly concerned with the construction of a theory of material behavior with infinitesimal strain accompanied by moderate rotation. After introducing a definition for moderate rotation and establishing a number of theorems pertaining to its properties, precise estimates are obtained for the (local) moderate rotation and related kinematical results in terms of infinitesimal strain. For motions which result in small strain accompanied by moderate rotation, the invariance of constitutive equations under arbitrary superposed rigid body motions is discussed with particular reference to an elastic material. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA105592

Entities

People

  • L. Vongsarnpigoon
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Constitutive Equations
  • Construction
  • Differential Equations
  • Displacement
  • Elastic Materials
  • Equations
  • Equations Of Motion
  • Identities
  • Inequalities
  • Invariance
  • Kinematics
  • Lepidoptera
  • Materials
  • Mechanical Engineering
  • Military Research
  • Three Dimensional
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.