Use of Layout Optimization to Solve Large-Scale Limit Analysis and Design Problems

Matthew Gilbert; Colin C. Smith; Samuel J. Hawksbee; Andrew Tyas

doi:10.1007/978-94-007-6827-7_8

Use of Layout Optimization to Solve Large-Scale Limit Analysis and Design Problems

Matthew Gilbert, Colin C. Smith, Samuel J. Hawksbee, Andrew Tyas

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

7 Citations (Scopus)

Abstract

Direct methods can be used to rapidly verify the safety of solid bodies and structures against collapse, and also to assist engineers wishing to rapidly identify structurally efficient designs for a specified load carrying capacity. Layout optimization is a direct method that can be used to solve very large-scale problems when adaptive solution schemes are employed, and the same underlying mathematical formulation is applicable to both analysis and design problems. Here the truss layout optimization formulation is applied to various benchmark design problems and the discontinuity layout optimization formulation applied to various plane strain limit analysis problems. It is observed that highly accurate solutions can be obtained, close to known analytical solutions. Finally future directions in the field of layout optimization are briefly considered.

Original language	English
Title of host publication	Direct Methods for Limit States in Structures and Materials
Editors	Konstantinos Spiliopoulos, Dieter Weichert
Publisher	Springer Netherlands
Chapter	8
Pages	157-180
Number of pages	24
Edition	1st
ISBN (Electronic)	9789400768277
ISBN (Print)	9400768265, 9789400768260, 9789400793064
DOIs	https://doi.org/10.1007/978-94-007-6827-7_8
Publication status	Published - 21 Aug 2013
Externally published	Yes

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Cite this

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Use of Layout Optimization to Solve Large-Scale Limit Analysis and Design Problems. / Gilbert, Matthew; Smith, Colin C.; Hawksbee, Samuel J. et al.

Direct Methods for Limit States in Structures and Materials. ed. / Konstantinos Spiliopoulos; Dieter Weichert. 1st. ed. Springer Netherlands, 2013. p. 157-180.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

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AU - Hawksbee, Samuel J.

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AB - Direct methods can be used to rapidly verify the safety of solid bodies and structures against collapse, and also to assist engineers wishing to rapidly identify structurally efficient designs for a specified load carrying capacity. Layout optimization is a direct method that can be used to solve very large-scale problems when adaptive solution schemes are employed, and the same underlying mathematical formulation is applicable to both analysis and design problems. Here the truss layout optimization formulation is applied to various benchmark design problems and the discontinuity layout optimization formulation applied to various plane strain limit analysis problems. It is observed that highly accurate solutions can be obtained, close to known analytical solutions. Finally future directions in the field of layout optimization are briefly considered.

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Use of Layout Optimization to Solve Large-Scale Limit Analysis and Design Problems

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