THEORY OF MICROPOLAR ELASTICITY

Abstract

The article presents a self-contained account of the recent theory of micropolar elasticity. Micropolar elastic materials possess extra independent degrees of freedom for the local rotations different from the rotations of the classical elasticity. These materials respond to spin inertia and body and surface couples, and as a consequence they exhibit certain new static and dynamic effects, e.g., new types of waves and couple stresses. Extensive discussions are presented on deformation, strain, microstrain, rotations, microrotations, kinematics, and balance laws. The thermodynamics of micropolar solids is formulated and the consequences of entropy and inequality are discussed. Field equations, boundary and initial conditions are obtained. The indeterminate couple stress theory is shown to result as a special case of the theory. Several static and dynamic problems are solved on the subjects of reflection of various types of micropolar waves, surface waves, stress concentration around a circular hole, and force and moment singularities in infinite solids. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0664271

Entities

People

  • A. C. Eringen

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Composite Materials
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Elastic Properties
  • Equations
  • Geometry
  • Heat Energy
  • Mechanical Properties
  • Mechanics
  • Partial Differential Equations
  • Physical Theories
  • Physics Laboratories
  • Standing Waves
  • Surface Waves
  • Three Dimensional
  • Two Dimensional

Readers

  • Auditory Neuroscience/Auditory Physiology.
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.