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Topology optimization using a continuous-time high-cycle fatigue model
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2020 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 61, p. 1011-1025Article in journal (Refereed) Published
Abstract [en]

We propose a topology optimization method that includes high-cycle fatigue as a constraint. The fatigue model is based on a continuous-time approach where the evolution of damage in each point of the design domain is governed by a system of ordinary differential equations, which employs the concept of a moving endurance surface being a function of the stress and back stress. Development of fatigue damage only occurs when the stress state lies outside the endurance surface. The fatigue damage is integrated for a general loading history that may include non-proportional loading. Thus, the model avoids the use of a cycle-counting algorithm. For the global high-cycle fatigue constraint, an aggregation function is implemented, which approximates the maximum damage. We employ gradient-based optimization, and the fatigue sensitivities are determined using adjoint sensitivity analysis. With the continuous-time fatigue model, the damage is load history dependent and thus the adjoint variables are obtained by solving a terminal value problem. The capabilities of the presented approach are tested on several numerical examples with both proportional and non-proportional loads. The optimization problems are to minimize mass subject to a high-cycle fatigue constraint and to maximize the structural stiffness subject to a high-cycle fatigue constraint and a limited mass.

Place, publisher, year, edition, pages
2020. Vol. 61, p. 1011-1025
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:miun:diva-48640DOI: 10.1007/s00158-019-02400-wOAI: oai:DiVA.org:miun-48640DiVA, id: diva2:1776469
Available from: 2023-06-28 Created: 2023-06-28 Last updated: 2023-09-08Bibliographically approved

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Lindström, Stefan B

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  • de-DE
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  • asciidoc
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