Formulation and computational application of inelastic media with uncertain parameters

B.V. Rosić; H.G. Matthies; M. Žiković; A. Ibrahimbegović

Formulation and computational application of inelastic media with uncertain parameters

B.V. Rosić^*, H.G. Matthies, M. Žiković, A. Ibrahimbegović

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

Introducing input parameters as random fields and processes and applying a stochastic Galerkin approximation, we obtain opportunity to develop the stochastic radial return mapping algorithm for the case of hardening plasticity in domain of small deformations. Further on, we consider more complicated situations connected with the problem of large deformations. In order to find the best suitable approach, we applied the stochastic collocation method compared with previous one according to the reference solution obtained by Monte Carlo simulation. However, utilised approaches assume isotropic material conditions, not the heterogeneous ones. Therefore, we employ the non-parametric probabilistic method in order to describe heterogeneities of material.

Original language	English
Title of host publication	Computational Plasticity X - Fundamentals and Applications
Subtitle of host publication	proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009
Editors	E. Oñate
Place of Publication	Barcelona
Publisher	CIMNE
ISBN (Print)	9788496736696
Publication status	Published - 1 Dec 2009
Externally published	Yes
Event	10th International Conference on Computational Plasticity, COMPLAS 2009 - Barcelona, Spain Duration: 2 Sep 2009 → 4 Sep 2009 Conference number: 10

Conference

Conference	10th International Conference on Computational Plasticity, COMPLAS 2009
Abbreviated title	COMPLAS
Country	Spain
City	Barcelona
Period	2/09/09 → 4/09/09

Keywords

Collocation
Karhunen-loéve expansion
Uncertain inelasticity

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Rosić, B. V., Matthies, H. G., Žiković, M., & Ibrahimbegović, A. (2009). Formulation and computational application of inelastic media with uncertain parameters. In E. Oñate (Ed.), Computational Plasticity X - Fundamentals and Applications: proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009 Barcelona: CIMNE.

Rosić, B.V. ; Matthies, H.G. ; Žiković, M. ; Ibrahimbegović, A. / Formulation and computational application of inelastic media with uncertain parameters. Computational Plasticity X - Fundamentals and Applications: proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009. editor / E. Oñate. Barcelona : CIMNE, 2009.

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title = "Formulation and computational application of inelastic media with uncertain parameters",

abstract = "Introducing input parameters as random fields and processes and applying a stochastic Galerkin approximation, we obtain opportunity to develop the stochastic radial return mapping algorithm for the case of hardening plasticity in domain of small deformations. Further on, we consider more complicated situations connected with the problem of large deformations. In order to find the best suitable approach, we applied the stochastic collocation method compared with previous one according to the reference solution obtained by Monte Carlo simulation. However, utilised approaches assume isotropic material conditions, not the heterogeneous ones. Therefore, we employ the non-parametric probabilistic method in order to describe heterogeneities of material.",

keywords = "Collocation, Karhunen-lo{\'e}ve expansion, Uncertain inelasticity",

author = "B.V. Rosić and H.G. Matthies and M. Žiković and A. Ibrahimbegović",

year = "2009",

month = "12",

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Rosić, BV, Matthies, HG, Žiković, M & Ibrahimbegović, A 2009, Formulation and computational application of inelastic media with uncertain parameters. in E Oñate (ed.), Computational Plasticity X - Fundamentals and Applications: proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009. CIMNE, Barcelona, 10th International Conference on Computational Plasticity, COMPLAS 2009, Barcelona, Spain, 2/09/09.

Formulation and computational application of inelastic media with uncertain parameters. / Rosić, B.V.; Matthies, H.G.; Žiković, M.; Ibrahimbegović, A.

Computational Plasticity X - Fundamentals and Applications: proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009. ed. / E. Oñate. Barcelona : CIMNE, 2009.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Matthies, H.G.

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AB - Introducing input parameters as random fields and processes and applying a stochastic Galerkin approximation, we obtain opportunity to develop the stochastic radial return mapping algorithm for the case of hardening plasticity in domain of small deformations. Further on, we consider more complicated situations connected with the problem of large deformations. In order to find the best suitable approach, we applied the stochastic collocation method compared with previous one according to the reference solution obtained by Monte Carlo simulation. However, utilised approaches assume isotropic material conditions, not the heterogeneous ones. Therefore, we employ the non-parametric probabilistic method in order to describe heterogeneities of material.

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KW - Uncertain inelasticity

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