Determination of the size of the representative volume element for random quasi-brittle composites
By C. Pélissou, Jean Baccou, Yann Monerie, F. Perales. 2009
182 citations recorded by the source corpus.
Abstract A representative volume element (RVE) is related to the domain size of a microstructure providing a “good” statistical representation of typical material properties. The size of an RVE for the class of quasi-brittle random heterogeneous materials under dynamic loading is one of the major questions to be answered in this paper. A new statistical strategy is thus proposed for the RVE size determination. The microstructure illustrating the methodology of the RVE size determination is a metal matrix composite with randomly distributed aligned brittle inclusions: the hydrided Zircaloy constituting nuclear claddings. For a given volume fraction of inclusions, the periodic RVE size is found in the case of overall elastic properties and of overall fracture energy. In the latter case, the term “representative” is discussed since the fracture tends to localize. A correlation factor between the “elastic” RVE and the “fracture” RVE is discussed.
Subfields: Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/933f6242f86ea0908c9a94eca2c246bae68a9a88
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In Mechanics of Materials
- Vinh Phu Nguyen
- Martijn Stroeven
- Ludovic Noels
- Van-Dung Nguyen
- Oriol Lloberas-Valls
- Lambertus J. Sluys
- Christophe Geuzaine
- Eric Béchet
Citations in the corpus
- Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation (2012, background): “Note that when non-linear effects such as brittle fracture occurs, the representative nature of the volume is less straightforward to be defined [18], and the problem becomes more complex.”
- Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks (2011, methodology): “According to the former, a micro model with properly chosen dimension which is determined, for example, by the RVE’s size quantification procedure given in [22, 11, 30], is numerically loaded at different loading conditions, the resulting cohesive laws are snapshot and later on used in a macroscopic”