Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis

This work establishes a computational framework for the quantification of the effect of uncertainty of material model parameters on extremal stress triaxiality and Lode angle values in plastically deformed devices, whereby stress triaxiality and Lode angle are accepted as key indicators for damage i...

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Bibliographic Details
Published in:	Advances in industrial and manufacturing engineering Vol. 7; p. 100128
Main Authors:	Böddecker, M., Faes, M.G.R., Menzel, A., Valdebenito, M.A.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-11-2023 Elsevier
Subjects:	Applied Mechanics Engineering and Technology Finite elastoplasticity Finite elements Gaussian process Lode angle Maskinteknik Material parameters Mechanical Engineering Probability Sensitivity Stress triaxiality Teknik Teknisk mekanik Uncertainty Finite elements Uncertainty Sensitivity Gaussian process Finite elastoplasticity Stress triaxiality Probability Lode angle Material parameters
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Summary:	This work establishes a computational framework for the quantification of the effect of uncertainty of material model parameters on extremal stress triaxiality and Lode angle values in plastically deformed devices, whereby stress triaxiality and Lode angle are accepted as key indicators for damage initiation in metal forming processes. Attention is paid to components, the material response of which can be represented as elasto-plastic with proportional hardening as a prototype model, whereby the finite element method is used as a simulation approach generally suitable for complex geometries and loading conditions. Uncertainty about material parameters is characterized resorting to probability theory. The effects of material parameter uncertainty on stress triaxiality and Lode angle are quantified by means of a variance-based global sensitivity analysis. Such sensitivity analysis is most useful for apportioning the variance of the stress triaxiality and Lode angle to the uncertainty on material properties. The practical implementation of this sensitivity analysis is carried out resorting to a Gaussian process regression, Bayesian probabilistic integration and active learning in order to decrease the associated numerical costs. An example illustrates the proposed framework, revealing that parameters governing plasticity affect stress triaxiality and Lode angle the most. •Uncertainty of material parameters for finite elasto-plasticity modeled using probability theory.•Effect of uncertainty on stress triaxiality and Lode angle investigated by variance-based sensitivity.•Surrogate modeling required for feasible numerical implementation and performance.•Material parameters governing plasticity affect stress triaxiality and Lode angle the most.
ISSN:	2666-9129 2666-9129
DOI:	10.1016/j.aime.2023.100128