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International Journal for Numerical Methods in Engineering
Article . 2022 . Peer-reviewed
License: CC BY NC
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zbMATH Open
Article . 2023
Data sources: zbMATH Open
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On non‐parametric fatigue optimization

On non-parametric fatigue optimization
Authors: Roman Sartorti; Torsten Möcker; Benedikt Kriegesmann; Claus B.W. Pedersen;

On non‐parametric fatigue optimization

Abstract

AbstractThe present work presents a novel approach for semi‐analytic adjoint sensitivity‐based design optimization for nonproportional fatigue damage. In order to apply fatigue damage in sensitivity‐based design optimizations, an essential part is to calculate correct sensitivities. However, this is not straight forward since fatigue damage calculation typically include rainflow counting and critical plane search algorithms. Therefore, no derivatives are directly available for the fatigue damage calculation, only functional values given by numerical computation. In existing literature the considered fatigue damage calculation is simplified until a closed‐form differentiability is satisfied. However, these simplifications are not applicable for industrial examples where accurate fatigue life estimates are required. In the present work numerical differentiation of the fatigue damage values with respect to the stress tensor is applied to calculate semi‐analytical adjoint sensitivities at material points for multiple load cases. The proposed method is verified and demonstrated using different damage parameter types including critical plane analysis. Additionally, different academic and industrial numerical examples are compared to stress and stiffness optimized designs. The fatigue damage optimized designs show improved fatigue damage results for both the specific damage parameter types and when comparing to stress and stiffness optimized designs. Furthermore, it is successfully applied for different design variables (sizing, non‐parametric shape and bead) as well as different optimization formulations using fatigue damage either as objective or constraint.

Countries
Germany, Germany
Keywords

semi-analytical adjoint sensitivity, damage parameter, critical plane, nonparametric optimization, semi-analytical adjoint sensitivities, Brittle damage, rainflow counting, damage parameters, Numerical and other methods in solid mechanics, fatigue damage, Optimization of other properties in solid mechanics, numerical differentiation, critical planes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Top 10%
hybrid