Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties
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- 作者：Dmytro Pivovarov ; Paul Steinmann
- 关键词：Stochastic FEM ; Computational homogenization ; Random geometry
- 刊名：Computational Mechanics
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：57
- 期：1
- 页码：123-147
- 全文大小：11,496 KB
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Paul Steinmann (2)
1. Chair of Applied Mechanics, University of Erlangen-Nuremberg, Paul-Gordan-Str. 3, Erlangen, 91052, Germany
2. Chair of Applied Mechanics, University of Erlangen-Nuremberg, Egerlandstraße 5, Erlangen, 91058, Germany - 刊物类别：Engineering
- 刊物主题：Theoretical and Applied Mechanics
Numerical and Computational Methods in Engineering
Computational Science and Engineering
Mechanics, Fluids and Thermodynamics - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-0924
文摘
In the current work we examine the application of the stochastic finite element method (SFEM) to the modeling of representative volume elements for heterogeneous materials. Uncertainties in the geometry of the microstructure result in the random nature of the solution fields thus requiring use of the stochastic version of the finite element method. For considering large differences in the material properties of matrix and inclusions a standard SFEM approach proves not stable and results in high numerical errors compared to a brute-force Monte-Carlo evaluation. Therefore in order to stabilize the SFEM we propose an alternative Gauss integration rule as resulting from a truncation of the probability density function for the random variable. In addition we propose new basis functions substituting the common polynomial chaos expansion, resulting in higher accuracy for the standard deviation in the homogenized stress at the macro scale. Keywords Stochastic FEM Computational homogenization Random geometry