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

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 Sept 2009 → 4 Sept 2009 Conference number: 10

Conference

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

Keywords

Collocation
Karhunen-loéve expansion
Uncertain inelasticity

Cite this

@inproceedings{c5f6faee15f746ecaf0a0134fe27784b,

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. Rosi{\'c} and H.G. Matthies and M. {\v Z}ikovi{\'c} and A. Ibrahimbegovi{\'c}",

year = "2009",

month = dec,

day = "1",

language = "English",

isbn = "9788496736696",

editor = "E. O{\~n}ate",

booktitle = "Computational Plasticity X - Fundamentals and Applications",

publisher = "CIMNE",

note = "10th International Conference on Computational Plasticity, COMPLAS 2009, COMPLAS ; Conference date: 02-09-2009 Through 04-09-2009",

}

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. et al.
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

TY - GEN

T1 - Formulation and computational application of inelastic media with uncertain parameters

AU - Rosić, B.V.

AU - Matthies, H.G.

AU - Žiković, M.

AU - Ibrahimbegović, A.

N1 - Conference code: 10

PY - 2009/12/1

Y1 - 2009/12/1

N2 - 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.

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.

KW - Collocation

KW - Karhunen-loéve expansion

KW - Uncertain inelasticity

UR - http://www.scopus.com/inward/record.url?scp=84859133073&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84859133073

SN - 9788496736696

BT - Computational Plasticity X - Fundamentals and Applications

A2 - Oñate, E.

PB - CIMNE

CY - Barcelona

T2 - 10th International Conference on Computational Plasticity, COMPLAS 2009

Y2 - 2 September 2009 through 4 September 2009

ER -

Formulation and computational application of inelastic media with uncertain parameters

Abstract

Conference

Keywords

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Cite this