Tsalis, Dimitrios; Charalambakis, Nicolas; Bonnay, Kevin; Chatzigeorgiou, George Effective properties of multiphase composites made of elastic materials with hierarchical structure. (English) Zbl 1371.74237 Math. Mech. Solids 22, No. 4, 751-770 (2017). Summary: In this paper, the analytical solution of the multi-step homogenization problem for multi-rank composites with generalized periodicity made of elastic materials is presented. The proposed homogenization scheme may be combined with computational homogenization for solving more complex microstructures. Three numerical examples are presented, concerning locally periodic stratified materials, matrices with wavy layers and wavy fiber-reinforced composites. Cited in 1 Document MSC: 74Q15 Effective constitutive equations in solid mechanics 74E30 Composite and mixture properties Keywords:micromechanics; generalized periodicity; multi-step homogenization; elasticity; analytical solution PDF BibTeX XML Cite \textit{D. Tsalis} et al., Math. Mech. Solids 22, No. 4, 751--770 (2017; Zbl 1371.74237) Full Text: DOI HAL OpenURL