Non-proportional high-cycle fatigue-constrained gradient-based topology optimization using a continuous-time model
(2025) In Computer Methods in Applied Mechanics and Engineering 435.- Abstract
An incremental high-cycle fatigue damage model is combined with topology optimization to design structures subject to non-proportional loads. The optimization aims to minimize the mass under compliance and fatigue constraints. The fatigue model is based on the concept of an evolving endurance surface and a system of ordinary differential equations that model the local fatigue damage evolution. A recent model extension that uses a quadratic polynomial endurance function to enhance the accuracy and extrapolation capabilities, especially for non-proportional loads, is used. To enable computationally efficient design updates, an adjoint sensitivity analysis that is consistent with the state solution, requiring only a few linear solves... (More)
An incremental high-cycle fatigue damage model is combined with topology optimization to design structures subject to non-proportional loads. The optimization aims to minimize the mass under compliance and fatigue constraints. The fatigue model is based on the concept of an evolving endurance surface and a system of ordinary differential equations that model the local fatigue damage evolution. A recent model extension that uses a quadratic polynomial endurance function to enhance the accuracy and extrapolation capabilities, especially for non-proportional loads, is used. To enable computationally efficient design updates, an adjoint sensitivity analysis that is consistent with the state solution, requiring only a few linear solves involving the stiffness matrix is derived. Furthermore, a new compliance constraint is developed for uncorrelated, stochastic force components to take worst-case force combinations into account. Numerical examples in both 2D and 3D demonstrate that the proposed framework is able to design structures subject to non-proportional loads.
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- author
- Suresh, Shyam ; Lindström, Stefan B. ; Klarbring, Anders ; Wallin, Mathias LU and Thore, Carl Johan
- organization
- publishing date
- 2025-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- High-cycle fatigue, Incremental fatigue model, Non-proportional loads, Topology optimization
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 435
- article number
- 117594
- publisher
- Elsevier
- external identifiers
-
- scopus:85211318736
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2024.117594
- language
- English
- LU publication?
- yes
- id
- b7936a3d-fd9d-42fa-9057-af6d7f812cb2
- date added to LUP
- 2025-03-03 12:36:31
- date last changed
- 2025-04-04 14:51:51
@article{b7936a3d-fd9d-42fa-9057-af6d7f812cb2,
abstract = {{<p>An incremental high-cycle fatigue damage model is combined with topology optimization to design structures subject to non-proportional loads. The optimization aims to minimize the mass under compliance and fatigue constraints. The fatigue model is based on the concept of an evolving endurance surface and a system of ordinary differential equations that model the local fatigue damage evolution. A recent model extension that uses a quadratic polynomial endurance function to enhance the accuracy and extrapolation capabilities, especially for non-proportional loads, is used. To enable computationally efficient design updates, an adjoint sensitivity analysis that is consistent with the state solution, requiring only a few linear solves involving the stiffness matrix is derived. Furthermore, a new compliance constraint is developed for uncorrelated, stochastic force components to take worst-case force combinations into account. Numerical examples in both 2D and 3D demonstrate that the proposed framework is able to design structures subject to non-proportional loads.</p>}},
author = {{Suresh, Shyam and Lindström, Stefan B. and Klarbring, Anders and Wallin, Mathias and Thore, Carl Johan}},
issn = {{0045-7825}},
keywords = {{High-cycle fatigue; Incremental fatigue model; Non-proportional loads; Topology optimization}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Computer Methods in Applied Mechanics and Engineering}},
title = {{Non-proportional high-cycle fatigue-constrained gradient-based topology optimization using a continuous-time model}},
url = {{http://dx.doi.org/10.1016/j.cma.2024.117594}},
doi = {{10.1016/j.cma.2024.117594}},
volume = {{435}},
year = {{2025}},
}