Some Problems in the Mechanics of Solids with Phase Mixtures

Abstract

This project has concentrated almost entirely on non-convex minimization problems in nonlinear elasticity theory and the existence of deformation-induced microstructure under severe loading conditions. As the microstructure develops and becomes more dense with increasing loads, the material weakens and the body has a softer response. Our minimizing sequences predict this property. To complement our theoretical development, a large scale FEM code was implemented on the CM-200 machine. This code has a high refinement capability which allows us to study those regions of the body where the fine phase mixture occurs and the strain field becomes extremely irregular.... Solids, Minimization, Coexistent Phases, Microstructures.

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Document Details

Document Type
Technical Report
Publication Date
Feb 19, 1993
Accession Number
ADA263652

Entities

People

  • Roger L. Fosdick

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Calculus Of Variations
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Hyperelastic Materials
  • Materials
  • Mechanics
  • Microstructure
  • Potential Energy
  • Sequences
  • Shear Bands

Readers

  • Computational Fluid Dynamics (CFD)
  • Operations Research
  • Powder metallurgy of Titanium alloys.