A Quantitative Study of a Crystalline Aggregate Model.

Abstract

A discrete aggregate model is applied to the study of theoretical macroscopic response of FCC metal polycrystals. General, dual inequalities of macroscopic plasticity theory are reviewed and exhibited on subsequent yield surfaces in both stress and strain space as calculated for aluminum under biaxial straining. Predicted stress-strain curves are shown corresponding to a partial cycle of loading and reverse loading. The aggregate model contains several thousand crystallographic slip systems, and all quantitative results are obtained through sequential solution of constrained quadratic programming problems governing the incremental crystal shears. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0744306

Entities

People

  • Kerry S. Havner
  • Rangaswam Varadarajan

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Aluminum
  • Computer Programming
  • Crystal Structure
  • Crystals
  • Inequalities
  • Mathematics
  • Mechanical Properties
  • Metals
  • Physical Properties
  • Plastic Properties
  • Polycrystals
  • Quadratic Programming
  • Stress Strain Relations
  • Stresses

Readers

  • Mathematical Modeling and Probability Theory.
  • Powder metallurgy of Titanium alloys.
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space