Topology optimization using a continuous-time high-cycle fatigue model

Suresh, ShyamLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten (författare)

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.

TEKNIK OCH TEKNOLOGIER Maskinteknik Teknisk mekanik hsv//swe
ENGINEERING AND TECHNOLOGY Mechanical Engineering Applied Mechanics hsv//eng
Continuous-time approach; Endurance surface; High-cycle fatigue; Topology optimization; Adjoint sensitivity analysis; Aggregation function

Lindström, StefanLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:miun)stelin2200 (författare)
Thore, Carl-JohanLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:liu)carth26 (författare)
Torstenfelt, BoLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:liu)boto13 (författare)
Klarbring, AndersLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:liu)andkl97 (författare)
Linköpings universitetMekanik och hållfasthetslära (creator_code:org_t)

Ingår i:Structural and multidisciplinary optimization (Print): SPRINGER61:3, s. 1011-10251615-147X1615-1488

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