Abstract
Even in the simple linear elastic range, the material behavior is not deterministic, but fluctuates randomly around some expectation values. The knowledge about this characteristic is obviously trivial from an experimentalist’s point of view. However, it is not considered in the vast majority of material models in which “only” deterministic behavior is taken into account. One very promising approach to the inclusion of stochastic effects in modeling of materials is provided by the Karhunen-Loève expansion. It has been used, for example, in the stochastic finite element method, where it yields results of the desired kind, but unfortunately at drastically increased numerical costs. This contribution aims to propose a new ansatz that is based on a stochastic series expansion, but at the Gauß point level. Appropriate energy relaxation allows to derive the distribution of a synthesized stress measure, together with explicit formulas for the expectation and variance. The total procedure only needs negligibly more computation effort than a simple elastic calculation. We also present an outlook on how the original approach in [7] can be applied to inelastic materials.
Original language | English |
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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 | International Center for Numerical Methods in Engineering (CIMNE) |
Pages | 296-307 |
Number of pages | 12 |
ISBN (Electronic) | 9788494690969 |
Publication status | Published - 1 Jan 2017 |
Event | 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 - Barcelona, Spain Duration: 5 Sep 2017 → 7 Sep 2017 |
Conference
Conference | 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 |
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Country/Territory | Spain |
City | Barcelona |
Period | 5/09/17 → 7/09/17 |
Keywords
- Analytical solution
- Energy relaxation
- Stochastic material behavior
- Stochastic series expansion
- Stress expectation
- Variance