Abstract
In this paper we studied the uncertainty quantification in a functional approximation form of elastoplastic models parameterised by material uncertainties. The problem of estimating the polynomial chaos coefficients is recast in a linear regression form by taking into consideration the possible sparsity of the solution. Departing from the classical optimisation point of view, we take a slightly different path by solving the problem in a Bayesian manner with the help of new spectral based sparse Kalman filter algorithms.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 |
| Editors | Eugenio Onate, Djordje Peric, D. Roger J. Owen, Michele Chiumenti |
| Place of Publication | Barcelona |
| Publisher | CIMNE |
| Pages | 256-267 |
| Number of pages | 12 |
| ISBN (Print) | 978-84-946909-6-9 |
| Publication status | Published - 1 Jan 2017 |
| Externally published | Yes |
| Event | 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 - Barcelona, Spain Duration: 5 Sep 2017 → 7 Sep 2017 Conference number: 14 http://congress.cimne.com/complas2017/frontal/Series.asp |
Conference
| Conference | 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 |
|---|---|
| Abbreviated title | COMPLAS 2017 |
| Country | Spain |
| City | Barcelona |
| Period | 5/09/17 → 7/09/17 |
| Internet address |
Keywords
- Iterative spectral filter
- Sparse Bayesian inference
- Sparse polynomial chaos expansion
- Spectral kalman filtering
- Stochastic elastoplasticity
- Uncertainty quantification
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Cite this
Rosić, B., & Matthies, H. G. (2017). Sparse Bayesian polynomial chaos approximations of elasto-plastic material models. In E. Onate, D. Peric, D. R. J. Owen, & M. Chiumenti (Eds.), Proceedings of the 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 (pp. 256-267). Barcelona: CIMNE.