Finite Deformation by Elasticity, Slip, and Twinning: Atomistic Considerations, Continuum Modeling, and Application to Ceramic Crystals

Abstract

A continuum theory is developed for modeling elasticity, plasticity, and twinning in single crystals of arbitrary anisotropy, subjected to arbitrarily large deformations. Concepts from discrete lattice models are considered for estimating resistances to inelastic shear. Nonlinear thermoelastic calculations are used in conjunction with experimental shock physics observations to provide estimates for resistances to slip, twinning, and shear fracture on preferred planes in alumina single crystals (i.e., rhomobohedral corundum or sapphire).

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2009
Accession Number
ADA499496

Entities

People

  • John D. Clayton

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Anisotropy
  • Crystal Structure
  • Crystals
  • Dislocations
  • Elastic Properties
  • High Pressure
  • High Temperature
  • Low Temperature
  • Mechanics
  • Military Research
  • Plastic Properties
  • Resistance
  • Sapphire
  • Shear Modulus
  • Single Crystals
  • Stresses
  • Virgin Islands

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Powder metallurgy of Titanium alloys.