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