Center for Analysis of Heterogeneous and Nonlinear Media

Abstract

The researcher had many publications and refereed journals under this grant. Kohn worked with G. Allaire on numerical shape optimization for minimum compliance in plane stress. This work makes use of a relaxed formulation. seeking an optimal design made from perforated composite materials. The latter surveys recent progress on optimal bounds. Topics addressed include the optimal energy bounds for elastic composites (proved using the Hashin-Shtrikman principle), and optimal bounds on the effective moduli of polycrystals (proven by means of the translation method).

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1993
Accession Number
ADA273515

Entities

People

  • Robert Kohn

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Bulk Modulus
  • Composite Materials
  • Computer Simulations
  • Elastic Properties
  • Equations
  • Integral Equations
  • Materials
  • Mathematical Models
  • Mechanical Properties
  • Mechanics
  • Optimization
  • Phase Transformations
  • Polycrystals
  • Surface Energy
  • Topology Optimization
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).