Analytical Characterization of Shear Localization in Thermoviscoplastic Materials

Abstract

Critical conditions for shear localization in thermoviscoplastic materials are obtained in closed form for idealized models of simple shearing deformations. The idealizations, which include the neglect of heat conduction, inertia, and elasticity, are viewed as quite acceptable for many applications in which shear bands occur. Explicit results obtained for the idealized, but fully nonlinear problem show the roles of strain rate sensitivity, strain hardening, and initial imperfection on the localization behavior. Numerical solutions for two steels are shown to exhibit the principal features reported for torsional Kolsky bar experiments on these steels. Mathematically exact critical conditions obtained for the fully nonlinear problem are compared with critical conditions obtained by means of linear perturbation analysis gives better agreement with the predictions fo the fully nonlinear analysis.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA178597

Entities

People

  • A. Molinari
  • R. J. Clifton

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Agreements
  • Constitutive Equations
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Hardening
  • Mechanical Properties
  • Mechanics
  • Nonlinear Analysis
  • Plastic Flow
  • Shear Bands
  • Shear Stresses
  • Strain Hardening
  • Strain Rate
  • Stress Strain Relations
  • Stresses

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.