Topology optimization: A new microstructure-based design domain method

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

Topology optimization is the most complicated problem in structural optimization. One common approach is to utilize the concept of the design domain, such as the homogenization method and the density function approach. In this paper, a new microstructure-based design domain method is proposed. This new method gives simple closed-form expressions for effective Young's modulus and effective shear modulus in terms of phase properties and volume fractions. Using these simple relations, topology optimization problems can be formulated and solved using mathematical programming algorithms. Results of some design examples obtained from the new method are presented.

Original languageEnglish (US)
Pages (from-to)781-788
Number of pages8
JournalComputers and Structures
Volume61
Issue number5
DOIs
StatePublished - Dec 1996

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Topology Optimization
Shape optimization
Microstructure
Elastic moduli
Homogenization method
Homogenization Method
Structural optimization
Structural Optimization
Mathematical programming
Young's Modulus
Mathematical Programming
Volume Fraction
Density Function
Probability density function
Volume fraction
Modulus
Closed-form
Optimization Problem
Design

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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Topology optimization : A new microstructure-based design domain method. / Gea, Hae Chang.

In: Computers and Structures, Vol. 61, No. 5, 12.1996, p. 781-788.

Research output: Contribution to journalArticle

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