Mathematical homogenization of inelastic dissipative materials: a survey and recent progress

Nicolas Charalambakis (1, 2) , Georges Chatzigeorgiou (3) , Yves Chemisky (3) , Fodil Meraghni (3)

1 School Civil Engineering [Thessaloniki]
2 Aristotle University of Thessaloniki
3 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux

In this paper, a review of papers on mathematical homogenization of dissipative composites under small strains and on the interplay between homogenization procedure and dissipation due to mechanical work is presented. Moreover, a critical survey on the links between mathematical homogenization and computational homogenization is attempted.

Mots clés: Homogenization; Inelastic composites; Dissipation

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]

Nicolas Charalambakis, Georges Chatzigeorgiou, Yves Chemisky, Fodil Meraghni. Mathematical homogenization of inelastic dissipative materials: a survey and recent progress. Continuum Mechanics and Thermodynamics, 2017, 30 (1), pp.1-51. ⟨10.1007/s00161-017-0587-5⟩. ⟨hal-02390365⟩