Mean-field homogenization of multi-phase thermo-elastic composites: a general framework and its validation

283 citations recorded by the source corpus.

How researchers see this paper

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

Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks (2010, result): “Therefore the effective Young’s modulus E∗ is calculated for an isotropic matrix containing spherical holes, to compare these results with results obtained by Zheng and Du (2001). Figure 17 shows the resulting effective Young’s modulus E∗ over the void porosity c for ν = 0.”
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation (2012, methodology): “The effective or macroscopic properties of heterogeneous materials, have traditionally been obtained by homogenization techniques based on the analytical or semi-analytical formulation (for instance, mean field homogenization [1]).”
Micromechanics of particle-reinforced elasto-viscoplastic composites : Finite element simulations versus affine homogenization (2007, background): “Expression (5) can be written for each phase of the heterogeneous material, so mechanical concentration tensors valid in linear thermo-elasticity can be computed for any given homogenization scheme (see Pierard et al., 2004 ).”