Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure
- verfasst von
- Juan Ma, Shahab Sahraee, Peter Wriggers, Laura De Lorenzis
- Abstract
In this work, stochastic homogenization analysis of heterogeneous materials is addressed in the context of elasticity under finite deformations. The randomness of the morphology and of the material properties of the constituents as well as the correlation among these random properties are fully accounted for, and random effective quantities such as tangent tensor, first Piola–Kirchhoff stress, and strain energy along with their numerical characteristics are tackled under different boundary conditions by a multiscale finite element strategy combined with the Montecarlo method. The size of the representative volume element (RVE) with randomly distributed particles for different particle volume fractions is first identified by a numerical convergence scheme. Then, different types of displacement-controlled boundary conditions are applied to the RVE while fully considering the uncertainty in the microstructure. The influence of different random cases including correlation on the random effective quantities is finally analyzed.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Xidian University
Technische Universität Braunschweig
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 55
- Seiten
- 819-835
- Anzahl der Seiten
- 17
- ISSN
- 0178-7675
- Publikationsdatum
- 31.03.2015
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00466-015-1136-3 (Zugang:
Geschlossen)
