Stress-based shape and topology optimization with the level set method

Picelli Sanches, Renato, Townsend, Scott, Brampton, C, Norato, J and Kim, Hyunsun 2018. Stress-based shape and topology optimization with the level set method. Computer Methods in Applied Mechanics and Engineering 329 , pp. 1-23. 10.1016/j.cma.2017.09.001

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Abstract

This paper proposes a level set method to solve minimum stress and stress-constrained shape and topology optimization problems. The method solves a sub-optimization problem every iteration to obtain optimal boundary velocities. A p-norm stress functional is used to aggregate stresses in a single constraint. The shape sensitivity function is derived and a computational procedure based on a least squares interpolation approach is devised in order to compute sensitivities at the boundaries. Adaptive constraint scaling is used to enforce exact control of stress limits. Numerical results show that the method is able to solve the problem e�ciently for single and multiple load cases obtaining solutions with smooth boundaries.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Additional Information:	This is an open access article under the CC BY license
Publisher:	Elsevier
ISSN:	0045-7825
Date of First Compliant Deposit:	4 September 2017
Date of Acceptance:	1 September 2017
Last Modified:	26 Oct 2021 01:15
URI:	https://orca.cardiff.ac.uk/id/eprint/104315

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