Random Heterogeneous Materials: Microstructure and Macroscopic Properties

By Salvatore Torquato, Hw Haslach. 2005

3,467 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/cd2a07e360ddd36d4d1cb2e4e2b4b421f2fa20be

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In Mechanics of Materials

Citations in the corpus

A unified scheme for prediction of effective moduli of multiphase composites with interface effects. Part I: Theoretical framework (2007, background): “For a comprehensive exposition, one can refer to the monographs of Aboudi (1991), Nemat-Nasser and Hori (1999), and Torquato (2002).”
A density-independent rigidity transition in biological tissues (2014, methodology): “Addition point pattern [49] of N points was generated under periodic boundary conditions, with box size L chosen such that the average area per cell is unity.”
3D stochastic bicontinuous microstructures: generation, topology and elasticity (2018, methodology): “6 Statistical isotropy does not necessarily result in mechanical isotropy [61].”
Statistically Equivalent Representative Volume Elements for Unidirectional Composite Microstructures: Part I - Without Damage (2006, methodology): “For determining morphological characteristics and the directional properties, the two-point probability function discussed in Torquato [ 32 ] and Saheli et al. [33], is implemented.”
Reduced-order structure-property linkages for polycrystalline microstructures based on 2-point statistics (2017, background): “Second, the convergence of the series is rather slow for high contrast composites [54,64].”
Optimizing multifunctional materials: Design of microstructures for maximized stiffness and fluid permeability (2006, background): “The reader is referred to Sanchez-Palencia (1980) and Torquato (2002) for further detail regarding derivation of the fluid homogenization equations.”
Motility-driven glass and jamming transitions in biological tissues (2015, methodology): “To create an initial configuration for the simulation, we first generate a seed point pattern using random sequential addition (RSA) [54] and anneal it by integrating Eq.”
Predictions of effective physical properties of complex multiphase materials (2008, methodology): “More about these reconstruction methods based on image mapping can be found in some review papers [187,202,205] and books [206,207].”