Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry

By Toufik Kanit, F. N’Guyen, S. Forest, Dominique Jeulin, Matt Reed, S. Singleton. 2006

222 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6ebff1f7e4b4a28fdce18d63a127be3670fa143b

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Representative volume element for composites reinforced by spatially randomly distributed discontinuous fibers and its applications (2015, unknown): “[33] is adopted,”
Numerical generation of a random chopped fiber composite RVE and its elastic properties (2008, unknown): “[43]:”
Tensor-based methods for numerical homogenization from high-resolution images (2013, methodology): “The reader can refer to [23, 24, 39, 48] for methodologies to estimate the size of the representative volume.”
Effective elastic properties of periodic hexagonal honeycombs (2015, background): “Computational homogenization is a powerful technique in finding the effective properties of heterogeneous materials (Guedes and Kikuchi, 1990; Kanit et al., 2006).”
Computational homogenization of elasto-plastic porous metals (2012, methodology): “Concerning the number of realizations Nr for each of the pore volume fractions an approach based on the relative error estimator for a random variable Z as provided in Kanit et al. (2006) is chosen based on the standard deviation r(Z) and the mean value Z according to”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, background): “In classical homogenization, it is well-known that homogeneous strain based boundary conditions on the unit cell of a periodic medium lead to too stiff apparent moduli [34].”
Determination of the size of the representative volume element for random quasi-brittle composites (2009, background): “The ﬁrst local minima of the covariance functions can also be considered if there is no intersection (Jeulin, 2001; Kanit et al., 2006).”
Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, background): “It is shown in literature that the Periodic boundary fluctuations provide a better apparent stiffness estimation for both periodic as well as random microstructures [52, 53, 74, 76, 97, 120, 126].”
Convergence of FFT‐based homogenization for strongly heterogeneous media (2015, background): “Although boundary condition 3 introduces a geometrical error due to the periodization of the geometry, it has been experimentally found [6] to yield the closest approximations to the effective stiffness for fixed size of V .”