LINEAR THEORY OF MICROPOLAR ELASTICITY

Abstract

Equations of motion, constitutive equations and boundary conditions are presented for a special class of micro-elastic materials called Micropolar Solids. These solids respond to micro-rotational motions and spin inertia and can support couple stress and distributed body couples. The couple stress theory is shown to emanate as a spacial case of the present theory when the motion is constrained so that micro- and macro-rotations coincide. Several energy and uniqueness theorems are given.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0473723

Entities

People

  • A. C. Eringen

Organizations

  • Purdue University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Cartesian Coordinates
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Energy
  • Equations
  • Equations Of Motion
  • Government Procurement
  • Governments
  • Materials
  • Molecular Dynamics
  • National Security
  • Partial Differential Equations
  • Rotation
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.