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Civil-Comp Conferences
ISSN 2753-3239
CCC: 10
PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: P. Iványi, J. Kruis and B.H.V. Topping
Paper 7.3

Time-Separated Stochastic Mechanics for Elasto-Viscoplastic Structures

H. Geisler and P. Junker

Institute of Continuum Mechanics, Leibniz University Hannover, Germany

Full Bibliographic Reference for this paper
H. Geisler, P. Junker, "Time-Separated Stochastic Mechanics for Elasto-Viscoplastic Structures", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 7.3, 2025,
Keywords: time-separated stochastic mechanics, uncertainty quantification, stochastics, elasto-viscoplasticity, finite elements, material model.

Abstract
Uncertainty quantification allows a more robust estimation of the reliability of structures with random variabilities in material properties. Time-separated Stochastic Mechanics is an efficient and accurate method for uncertainty quantification of materials with microstructure evolution. The method is based on a polynomial surrogate model which separates random from time-dependent behavior. As a result, only a single deterministic simulation has to be performed for each basis function. Analytical expressions for the expectation and standard deviation of quantities of interest, e.g., the stress, can be derived. In this contribution, the Time-separated Stochastic Mechanics is presented for structures with elasto-viscoplastic material behavior. The numerical results show a great agreement with Monte Carlo reference solution on the material point at vastly reduced computational costs. The application on the computation of an artificial dam showcase the potential of the method for the uncertainty quantification of civil structures.

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