Center for Shape Optimization and Material Layout

Abstract

The final report reflects the development of a direct method of solving problems of optimal design of systems described by elliptic equations of the 2nd and 4th order. This method is based on a special 'polysaddle' transformation of the integrand of the corresponding max min - problem applied to construct the appropriate two-sided bounds; an analytical and computational technique is developed to make this construction possible. Geometrical aspects of the above transform are discussed in detail as well as the material implementation of the corresponding layouts. The results obtained provide a theoretical basis for a direct computational assembling of the global layout from special laminar microstructures determined analytically by the aforementioned technique.... Direct relaxation, Polysaddle transform, Convex hulls.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA260087

Entities

People

  • James I. Northrup
  • Konstantin A. Lurie

Organizations

  • Worcester Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Cartesian Coordinates
  • Composite Materials
  • Computer Programming
  • Computer Programs
  • Computers
  • Construction
  • Differential Equations
  • Geometry
  • Materials
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Three Dimensional
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research
  • Software Engineering