Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations

E. Tikarrouchine (1, 2) , Georges Chatzigeorgiou (1) , Y. Chemisky (1) , F. Meraghni (1)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 EMP - École Militaire Polytechnique [Alger]

The current paper presents a two scale Finite Element approach (FE 2 ), adopting the periodic homogenization method, for fully coupled thermo-mechanical processes. The aim of this work is to predict the overall response of rate-dependent, non-linear, thermo-mechanically coupled problems of 3D periodic composite structures. The material constituents implicated in the analyses obey generalized standard materials laws, while the characteristic equations of the problem (balance law, first law of thermodynamics) are expressed and satisfied in both microscopic and macroscopic scales. For the numerical implementationin both scales, the finite element commercial software ABAQUS is utilized in the framework of small strains and rotations. A set of dedicated scripts and a specially designed Meta-UMAT subroutine allow the connection between the macroscopic structure and the microscopic unit cells attached to every macroscopic integration point. The two-scale finite element framework is applied to simulate thermoelastic-viscoplastic materials of complex 3D composite structures, and its capabilities are demonstrated withproper numerical examples. It is worth mentioning that the proposed computational strategy can be applied for any kind of 3D periodic microstructure and non-linear constitutive law.

Mots clés: Multi-scale finite element computation; Thermo-mechanical processes; Periodic homogenization; Thermoelastic-viscoplastic material; FE2 method

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

E. Tikarrouchine, Georges Chatzigeorgiou, Y. Chemisky, F. Meraghni. Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations. International Journal of Solids and Structures, 2019, 164, pp.120-140. ⟨10.1016/j.ijsolstr.2019.01.018⟩. ⟨hal-01985854⟩