Quantification of stochastically stable representative volumes for random heterogeneous materials

By I. Gitman, M. Gitman, H. Askes. 2006

82 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fdc9691298b421a5d859a43d7cc00fa97eb1b009

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Determination of the size of the representative volume element for random quasi-brittle composites (2009, background): “Among statistical strategies, one can mention: the v 2 criterion (Gitman et al., 2007), the stochastic stability (Gitman et al., 2006), the stabilization of average and variance (Kanit et al., 2003), a tolerance for the scatter (Vinogradov, 2001), the two-point probability (Zeman and Sejnoha, 2001;…”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, background): “In this approach, the question ‘‘how large is the length scale?’’ is in fact rephrased as ‘‘how large is the RVE size?’’ Many studies have been devoted to the quantification of RVE sizes for randomly heterogeneous materials, and the general trends are that the RVE size increases with increased contr”
Sensitivity and randomness in homogenization of periodic fiber-reinforced composites via the response function method (2009, background): “Let us note that even if the mathematical apparatus has a strictly deterministic character, some issues, like the basic correlation dimension or the representativeness of the basic cell subjected to the homogenization process, are nevertheless discussed (Gitman et al., 2006; Kanit, 2006).”
Monte Carlo Simulations of Mesoscale Fracture of Concrete with Random Aggregates and Pores: a Size Effect Study (2015, background): “However, mesoscale numerical studies of the size effect of concrete with statistical analyses are still challenging [21–23], mainly due to the complex multi-phase composition, the complicated nonlinear multi-cracking behaviour, and substantial computational cost from repetitive simulations.”