Microstructural Randomness and Scaling in Mechanics of Materials

By Martin Ostoja-Starzewski. 2007

359 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0d212af20eec31698cca1035fc8a9bb59952dae5

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Bayesian Model and Dimension Reduction for Uncertainty Propagation: Applications in Random Media (2017, background): “However their size, the boundary conditions that must employed on the RVE in order to extract eective properties are not necessarily uniquely determined nor is their eect in the macroscale response [57]. Furthermore, only a small portion of this work has been directed to stochastic/probabilistic mul”
Particulate random composites homogenized as micropolar materials (2014, background): “A key issue in mechanics of materials characterized by microstructural randomness is that the classical concept of the Representative Volume Element (RVE), well established in periodicity based homogenization techniques for many years [12, 21], loses its validity [15].”
How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert” (2012, neutral): “, [9,12,13,41,42,74,75, 79,101,102,104,117,124,125,128]).”
The Dagum family of isotropic correlation functions (2007, methodology): “, [21, 22]), where practical analysis in this field is performed using the Dagum function.”
Computational microstructure characterization and reconstruction: Review of the state-of-the-art techniques (2018, background): “With this deﬁnition, the size of the RVE clearly depends on the material system as well as the effective property under consideration [65,73–82].”
Micromechanics of spatially uniform heterogeneous media: A critical review and emerging approaches (2009, background): “Ostoja-Starzewski [113] for a comprehensive exposition of the latter.”