Multi-Step Homogenization of Thermoelastic Multi-Scale Tubes with Wavy Layers

Dimitrios Tsalis (1) , 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 we present a multi-step homogenization scheme of a tube made of numerous wavy cylindrical layers exhibiting periodicity with respect to both the radial and the angular direction. The proposed homogenization is a combination of successive semi-analytical, cell-problem-based, homogenization steps and a possible, micromechanics-based, homogenization in the interior of every layer. Every step of cell-problem based homogenization gives analytical expressions for the homogenized stiffness, thermal expansion and thermal conductivity.

Mots clés: Multi-step; multi-scale homogenization; Generalized periodicity; Thermoelasticity; Cell problem; Effective properties

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

Dimitrios Tsalis, Georges Chatzigeorgiou, Nicolas Charalambakis. Multi-Step Homogenization of Thermoelastic Multi-Scale Tubes with Wavy Layers. 11th HSTAM International Congress on Mechanics, May 2016, Athens, Greece. ⟨hal-01361046⟩