Gradient Based Biobjective Shape Optimization to Improve Reliability and Cost of Ceramic Components

We consider the simultaneous optimization of the reliability and the cost of a ceramic component in a biobjective PDE constrained shape optimization problem. A probabilistic Weibull-type model is used to assess the probability of failure of the component under tensile load, while the cost is assumed...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Doganay, Onur T, Gottschalk, Hanno, Hahn, Camilla, Klamroth, Kathrin, Schultes, Johanna, Stiglmayr, Michael
Format: Article
Language:English
Subjects:
Component reliability
Mathematical models
Shape optimization
Statistical analysis
Tensile stress
Online Access:Get full text
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Summary:We consider the simultaneous optimization of the reliability and the cost of a ceramic component in a biobjective PDE constrained shape optimization problem. A probabilistic Weibull-type model is used to assess the probability of failure of the component under tensile load, while the cost is assumed to be proportional to the volume of the component. Two different gradient-based optimization methods are suggested and compared at 2D test cases. The numerical implementation is based on a first discretize then optimize strategy and benefits from efficient gradient computations using adjoint equations. The resulting approximations of the Pareto front nicely exhibit the trade-off between reliability and cost and give rise to innovative shapes that compromise between these conflicting objectives.
ISSN:2331-8422