BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS
<p>Modelling of heterogeneous materials based on randomness of model input parameters involves parameter identification which is focused on solving a stochastic inversion problem. It can be formulated as a search for probabilistic description of model parameters providing the distribution of t...
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Czech Technical University in Prague
2018-12-01
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| Series: | Acta Polytechnica CTU Proceedings |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/APP/article/view/5322 |
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| author | Eliška Janouchová Anna Kučerová |
| author_facet | Eliška Janouchová Anna Kučerová |
| author_sort | Eliška Janouchová |
| collection | DOAJ |
| description | <p>Modelling of heterogeneous materials based on randomness of model input parameters involves parameter identification which is focused on solving a stochastic inversion problem. It can be formulated as a search for probabilistic description of model parameters providing the distribution of the model response corresponding to the distribution of the observed data</p><p>In this contribution, a numerical model of kinematic and isotropic hardening for viscoplastic material is calibrated on a basis of experimental data from a cyclic loading test at a high temperature. Five material model parameters are identified in probabilistic setting. The core of the identification method is the Bayesian inference of uncertain statistical moments of a prescribed joint lognormal distribution of the parameters. At first, synthetic experimental data are used to verify the identification procedure, then the real experimental data are processed to calibrate the material model of copper alloy.</p> |
| format | Article |
| id | doaj-art-ef5df00f5e3b49c396b6c83d3fdf1f3e |
| institution | DOAJ |
| issn | 2336-5382 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Czech Technical University in Prague |
| record_format | Article |
| series | Acta Polytechnica CTU Proceedings |
| spelling | doaj-art-ef5df00f5e3b49c396b6c83d3fdf1f3e2025-08-20T03:22:42ZengCzech Technical University in PragueActa Polytechnica CTU Proceedings2336-53822018-12-01150414510.14311/APP.2018.15.00414344BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERSEliška JanouchováAnna Kučerová<p>Modelling of heterogeneous materials based on randomness of model input parameters involves parameter identification which is focused on solving a stochastic inversion problem. It can be formulated as a search for probabilistic description of model parameters providing the distribution of the model response corresponding to the distribution of the observed data</p><p>In this contribution, a numerical model of kinematic and isotropic hardening for viscoplastic material is calibrated on a basis of experimental data from a cyclic loading test at a high temperature. Five material model parameters are identified in probabilistic setting. The core of the identification method is the Bayesian inference of uncertain statistical moments of a prescribed joint lognormal distribution of the parameters. At first, synthetic experimental data are used to verify the identification procedure, then the real experimental data are processed to calibrate the material model of copper alloy.</p>https://ojs.cvut.cz/ojs/index.php/APP/article/view/5322parameter identification, Bayesian inference, hierarchical modelling, aleatory uncertainty, kinematic and isotropic hardening |
| spellingShingle | Eliška Janouchová Anna Kučerová BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS Acta Polytechnica CTU Proceedings parameter identification, Bayesian inference, hierarchical modelling, aleatory uncertainty, kinematic and isotropic hardening |
| title | BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS |
| title_full | BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS |
| title_fullStr | BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS |
| title_full_unstemmed | BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS |
| title_short | BAYESIAN INFERENCE OF HETEROGENEOUS VISCOPLASTIC MATERIAL PARAMETERS |
| title_sort | bayesian inference of heterogeneous viscoplastic material parameters |
| topic | parameter identification, Bayesian inference, hierarchical modelling, aleatory uncertainty, kinematic and isotropic hardening |
| url | https://ojs.cvut.cz/ojs/index.php/APP/article/view/5322 |
| work_keys_str_mv | AT eliskajanouchova bayesianinferenceofheterogeneousviscoplasticmaterialparameters AT annakucerova bayesianinferenceofheterogeneousviscoplasticmaterialparameters |