Multiscale Modeling of Deformation Twinning Based on Field Theory of Multiscale Plasticity (FTMP)

Abstract

In this report, we discuss the application of a field theory, incorporating first and second gradients of plastic distortion into the constitutive response of metallic single crystals. Differential-geometric aspects of the theory are briefly summarized, and a constitutive model for ductile crystals is then outlined. We also report simulations that confirm basic capabilities of the model in terms of describing important features of deformation twinning, e.g., nucleation, growth, lattice rotation, and the attendant stress response and energy redistribution. Using numerical results for face-centered cubic metals single crystals and polycrystalline samples of copper we examine the effects of geometrical constraints. Numerical results for hexagonal close-packed metals specifically, magnesium single crystals demonstrate interactions between twinning and slip, tension-compression asymmetry, reversibility, and other typically observed properties. Agreement with experiments is satisfactory.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2013
Accession Number
ADA588244

Entities

People

  • John D. Clayton
  • Tadashi Hasebe

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Compression
  • Crystal Structure
  • Crystals
  • Elements
  • Equations
  • Experimental Data
  • Mechanical Properties
  • Mechanics
  • Metals
  • Multiscale Modeling
  • Nucleation
  • Plastic Flow
  • Plastic Properties
  • Shear Stresses
  • Simulations
  • Single Crystals
  • Stresses

Readers

  • Materials Science and Engineering.
  • Structural Health Monitoring of Composite Structures.
  • Theoretical Analysis.