Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-carlo method
- verfasst von
- Juan Ma, Jie Zhang, Liangjie Li, Peter Wriggers, Shahab Sahraee
- Abstract
The computationally random homogenization analysis of a two-phase heterogeneous materials is addressed in the context of linear elasticity where the randomness of constituents’ moduli and microstructural morphology together with the correlation among random moduli are fully considered, and random effective quantities such as effective elastic tensor and effective stress as well as effective strain energy together with their numerical characteristics are then sought for different boundary conditions. Based on the finite element method and Monte-carlo method, the RVE with randomly distributing particles determined by a numerical convergence scheme is firstly generated and meshed, and two types of boundary conditions controlled by average strain are then applied to the RVE where the uncertainty existing in the microstructure is accounted for simultaneously. The numerical characteristics of random effective quantities such as coefficients of variation and correlation coefficients are then evaluated, and impacts of different factors on random effective quantities are finally investigated and revealed as well.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Xidian University
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 54
- Seiten
- 1395-1414
- Anzahl der Seiten
- 20
- ISSN
- 0178-7675
- Publikationsdatum
- 12.2014
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00466-014-1065-6 (Zugang:
Geschlossen)
