Abstract: | |
The complexity of many problems in computational mechanics calls for reliable programming codes and accurate simulation systems. Typically, simulation responses strongly depend on material and model parameters, where one distinguishes between backward and forward models. Providing reliable information for the material/model parameters, enables us to calibrate the forward model (e.g., a system of PDEs). Markov chain Monte Carlo methods are efficient computational techniques to estimate the posterior density of the parameters. In the present study, we employ Bayesian inversion for several mechanical problems and study its applicability to enhance the model accuracy. Seven different boundary value problems in coupled multi-field (and multi-physics) systems are presented. To provide a comprehensive study, both rate-dependent and rate-independent equations are considered. Moreover, open source codes (https://doi.org/10.5281/zenodo.6451942) are provided, constituting a convenient platform for future developments for, e.g., multi-field coupled problems. The developed package is written in MATLAB and provides useful information about mechanical model problems and the backward Bayesian inversion setting. © 2022, The Author(s).
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License of this version: | CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/ |
Publication type: | Article |
Publishing status: | publishedVersion |
Publication date: | 2022 |
Keywords english: | Computational mechanics, Markov processes, MATLAB, Monte Carlo methods, Open source software, Open systems, Bayesian inversion, Forward modeling, Materials parameters, Model problems, Modeling parameters, One-dimensional model, Open-source code, Programming codes, Simulation response, Simulation systems, Boundary value problems |
DDC: | 690 | Hausbau, Bauhandwerk |
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