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Publisher DOI: 10.1002/nme.7158
Title: On non-parametric fatigue optimization
Language: English
Authors: Sartorti, Roman 
Möcker, Torsten 
Kriegesmann, Benedikt  
Pedersen, Claus B.W. 
Keywords: critical planes; damage parameters; fatigue damage; nonparametric optimization; rainflow counting; semi-analytical adjoint sensitivities
Issue Date: 2-Nov-2022
Publisher: Wiley
Source: International Journal for Numerical Methods in Engineering 124 (5): 1168-1192 (2023-03-15)
Abstract (english): 
The 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, nonparametric shape and bead) as well as different optimization formulations using fatigue damage either as objective or constraint.
DOI: 10.15480/882.4855
ISSN: 1097-0207
Journal: International Journal for Numerical Methods in Engineering 
Institute: Strukturmechanik im Leichtbau M-24 
Document Type: Article
Project: Projekt DEAL 
License: CC BY-NC 4.0 (Attribution-NonCommercial) CC BY-NC 4.0 (Attribution-NonCommercial)
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