The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study

M. P. Bendsøe; R. B. Haber

doi:10.1007/BF01743385

The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study

M. P. Bendsøe, R. B. Haber

Mechanical Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that Michell's problem of least-weight truss layouts can be obtained by asymptotic expansion of the optimized strain and complementary energies derived for minimum compliance topology of perforated plates in plane stress.

Original language	English (US)
Pages (from-to)	263-267
Number of pages	5
Journal	Structural Optimization
Volume	6
Issue number	4
DOIs	https://doi.org/10.1007/BF01743385
State	Published - Dec 1993

ASJC Scopus subject areas

Civil and Structural Engineering

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10.1007/BF01743385

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title = "The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study",

abstract = "It is shown that Michell's problem of least-weight truss layouts can be obtained by asymptotic expansion of the optimized strain and complementary energies derived for minimum compliance topology of perforated plates in plane stress.",

author = "Bends{\o}e, {M. P.} and Haber, {R. B.}",

year = "1993",

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journal = "Structural Optimization",

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N2 - It is shown that Michell's problem of least-weight truss layouts can be obtained by asymptotic expansion of the optimized strain and complementary energies derived for minimum compliance topology of perforated plates in plane stress.

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The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study

Abstract

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