article

Stress-based topology optimization using spatial gradient stabilized XFEM

Authors:

Kurt MauteAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 57, Issue 1

Pages 17 - 38

https://doi.org/10.1007/s00158-017-1833-y

Published: 01 January 2018 Publication History

Abstract

This paper presents an immersed boundary approach for level set topology optimization considering stress constraints. A constraint agglomeration technique is used to combine the local stress constraints into one global constraint. The structural response is predicted by the eXtended Finite Element Method. A Heaviside enrichment strategy is used to model strong and weak discontinuities with great ease of implementation. This work focuses on low-order finite elements, which given their simplicity are the most popular choice of interpolation for topology optimization problems. The predicted stresses strongly depend on the intersection configuration of the elements and are prone to significant errors. Robust computation of stresses, regardless of the interface position, is essential for reliable stress constraint prediction and sensitivities. This study adopts a recently proposed fictitious domain approach for penalization of displacement gradients across element faces surrounding the material interface. In addition, a novel XFEM informed stabilization scheme is proposed for robust computation of stresses. Through numerical studies the penalized spatial gradients combined with the stabilization scheme is shown to improve prediction of stresses along the material interface. The proposed approach is applied to the benchmark topology optimization problem of an L-shaped beam in two and three dimensions using material-void and material-material problem setups. Linear and hyperelastic materials are considered. The stress constraints are shown to be efficient in eliminating regions with high stress concentration in all scenarios considered.

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Stress-based topology optimization using spatial gradient stabilized XFEM

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cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 57, Issue 1

January 2018

458 pages

ISSN:1615-147X

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Copyright © Copyright © 2018 Springer-Verlag GmbH Germany, part of Springer Nature.

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 January 2018

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Huang ZTozoni DGjoka AFerguson ZSchneider TPanozzo DZorin D(2024)Differentiable solver for time-dependent deformation problems with contactACM Transactions on Graphics10.1145/365764843:3(1-30)Online publication date: 26-Apr-2024
https://dl.acm.org/doi/10.1145/3657648
Gjoka AKnoop EBächer MZorin DPanozzo D(2024)Soft Pneumatic Actuator Design using Differentiable SimulationACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657467(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657467
Tauzowski PBłachowski BLógó J(2024)Optimal topologies considering fatigue with reliability constraintAdvances in Engineering Software10.1016/j.advengsoft.2023.103590189:COnline publication date: 1-Mar-2024
https://dl.acm.org/doi/10.1016/j.advengsoft.2023.103590
Garner EWu JZadpoor A(2023)An insertability constraint for shape optimizationStructural and Multidisciplinary Optimization10.1007/s00158-023-03678-766:10Online publication date: 3-Oct-2023
https://dl.acm.org/doi/10.1007/s00158-023-03678-7
Kambampati STaber AKumar GKim H(2023)A CAD-aware plug-and-play topology optimization framework using momentsStructural and Multidisciplinary Optimization10.1007/s00158-023-03497-w66:3Online publication date: 28-Feb-2023
https://dl.acm.org/doi/10.1007/s00158-023-03497-w
Kuci EJansen M(2022)Level set topology optimization of elasto-plastic materials with local stress constraintsStructural and Multidisciplinary Optimization10.1007/s00158-022-03268-z65:6Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s00158-022-03268-z
Nguyen SSohn DKim H(2022)A novel hr-adaptive mesh refinement scheme for stress-constrained shape and topology optimization using level-set-based trimmed meshesStructural and Multidisciplinary Optimization10.1007/s00158-021-03132-665:2Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s00158-021-03132-6
Shakour EAmir O(2022)Stress-constrained topology optimization with precise and explicit geometric boundariesStructural and Multidisciplinary Optimization10.1007/s00158-021-03115-765:2Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s00158-021-03115-7
Bartz RFranke TFiebig SVietor T(2021)Density-based shape optimization of 3D structures with mean curvature constraintsStructural and Multidisciplinary Optimization10.1007/s00158-021-03089-665:1Online publication date: 15-Dec-2021
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Stankiewicz GDev CSteinmann P(2021)Coupled topology and shape optimization using an embedding domain discretization methodStructural and Multidisciplinary Optimization10.1007/s00158-021-03024-964:4(2687-2707)Online publication date: 1-Oct-2021
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