research-article

Stress-constrained topology optimization with precise and explicit geometric boundaries

Authors:

Oded AmirAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 65, Issue 2

https://doi.org/10.1007/s00158-021-03115-7

Published: 01 February 2022 Publication History

Abstract

The solution of stress-constrained topology optimization problems is strongly affected by the accuracy of the computed stresses on the boundary of the evolving structure. In this paper, we address stress-constrained topology optimization using an explicit and precise representation of the boundaries. The geometrical model is a spline-based topology that evolves following the level set method. Untrimming techniques are used to construct the topology from the implicit boundaries defined by the level set function. Subsequently, a mechanical model that replicates the geometrical model precisely is constructed by mesh refinement. The governing state equations are solved using Iso Geometric Analysis (IGA). This leads to accurate stress computations and smooth stress fields, which are critical for constraining the stresses in regions that exhibit high concentrations. Consistent analytical sensitivity analysis is formulated for the entire procedure. Utilizing the smooth IGA solution, the stress is limited in the domain as well as in precise computation points on the boundaries. The applicability of the proposed approach, as well as its relative advantages compared to density-based approaches is demonstrated on several benchmark cases of stress-constrained topology optimization.

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Cited By

Kiyono CPicelli RSivapuram RDe Leon DSilva E(2024)Stress-based topology optimization approach using binary variables and geometry trimmingFinite Elements in Analysis and Design10.1016/j.finel.2023.104044227:COnline publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1016/j.finel.2023.104044

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Stress-constrained topology optimization with precise and explicit geometric boundaries

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Published In

cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 65, Issue 2

Feb 2022

611 pages

ISSN:1615-147X

Issue’s Table of Contents

© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 February 2022

Accepted: 24 September 2021

Revision received: 16 September 2021

Received: 14 June 2021

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Cited By

Kiyono CPicelli RSivapuram RDe Leon DSilva E(2024)Stress-based topology optimization approach using binary variables and geometry trimmingFinite Elements in Analysis and Design10.1016/j.finel.2023.104044227:COnline publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1016/j.finel.2023.104044

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