Effective properties of multiphase composites made of elastic materials with hierarchical structure

Dimitrios Tsalis (1) , Kevin Bonnay (2) , Georges Chatzigeorgiou (2) , Nicolas Charalambakis (1)

1 Aristotle University of Thessaloniki
2 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux

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.

Mots clés: Micromechanics; Generalized periodicity; Multi - step homogenization; Elasticity; Analytical solution

Domaines: Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]

Dimitrios Tsalis, Kevin Bonnay, Georges Chatzigeorgiou, Nicolas Charalambakis. Effective properties of multiphase composites made of elastic materials with hierarchical structure. Mathematics and Mechanics of Solids, 2015, ⟨10.1177/1081286515612142⟩. ⟨hal-01320767⟩