Optimal layout of elastoplastic grillages for multiple-load cases with displacement and strain constraints

Abstract

Beam grillages are commonly used to form bridge decks and building floorplates. Although analytical means of identifying optimal beam grillage layouts were developed in the 1970s, various issues limited their practical usefulness. More recently, a ground-structure-based numerical layout optimization approach was proposed to identify optimal beam grillages, overcoming the limitations of previous analytical methods and solving plastic design problems rapidly. However, in engineering practice, both ultimate and serviceability limit states need to be considered in the design process. To address this, here, a novel method capable of handling non-linear material models, displacement constraints and strain constraints, and multiple-load cases is applied to beam grillage optimization problems. Example problems of varying complexity are then used to verify and demonstrate the novel capabilities of the method.

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Item Type:	Article
Authors/Creators:	Larsen, J. Gilbert, M. https://orcid.org/0000-0003-4633-2839 He, L. https://orcid.org/0000-0002-2537-2244 Poulsen, P.N.
Copyright, Publisher and Additional Information:	© The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords:	Grillages; Layout optimization; Topology optimization; Material efficiency; Elastoplastic material
Dates:	Submitted: 18 December 2024 Accepted: 15 May 2025 Published (online): 14 June 2025 Published: 14 June 2025
Institution:	The University of Sheffield
Academic Units:	The University of Sheffield > Faculty of Engineering (Sheffield) > School of Mechanical, Aerospace and Civil Engineering
Depositing User:	Symplectic Sheffield
Date Deposited:	17 Jun 2025 08:55
Last Modified:	17 Jun 2025 08:55
Status:	Published
Publisher:	Springer Science and Business Media LLC
Refereed:	Yes
Identification Number:	10.1007/s00158-025-04042-7
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:227907

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Optimal layout of elastoplastic grillages for multiple-load cases with displacement and strain constraints

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