Modeling Dislocations and Disclinations with Finite Micropolar Elastoplasticity

Abstract

Presented are aspects of a constitutive model for crystalline metals containing dislocation and disclination defects. Kinematics and balance laws are developed simultaneously at two scales of observation. The macroscopic kinematic description is characterized by a multiplicative decomposition of the deformation gradient, while the meso-level description follows from an additive decomposition of a connection into objects reflecting dislocations and disclinations. At the macroscale, the standard linear and angular momentum balances are enforced, while at the mesoscale, we postulate additional momentum equations for driving forces conjugate to defect densities.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA417830

Entities

People

  • D. J. Bammann
  • D. L. Mcdowell
  • J. D. Clayton

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Angular Momentum
  • Classification
  • Crystals
  • Dislocations
  • Energy
  • Free Energy
  • Information Operations
  • Mechanics
  • Military Research
  • Momentum
  • Plastic Deformation
  • Plastic Properties
  • Shear Modulus
  • Single Crystals
  • Standards
  • Stratified Fluids

Readers

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