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Simulation multi-échelles par EF² de structures composites périodiques en régime viscoélastique-viscoplastique- endommageable avec couplage thermomécanique fort.

Abstract : A multi-scale FE2 approach based on the periodic homogenization theory is developed to predict the overall response of nonlinear mechanical and fully coupled thermomechanical 3D composite structures. The computational strategy integrates the periodic microstructure effects by introducing the architecture of the reinforcement and the local constitutive laws.The considered constituents' constitutive laws obey generalized standard materials laws and are formulated within the framework of thermodynamics of irreversible processes. The characteristic equations (equilibrium and thermodynamics laws) are formulated under the assumption of small strains and rotations. They are solved simultaneously at both scales (microscopic and macroscopic) using an incremental scheme. For the numerical implementation, an advanced Meta-UMAT subroutine is developed and combined with a parallelization technique in the finite element commercial software Abaqus/Standard. The multi-scale computational strategy is applied to simulate the overall response of 3D composite structures under complex thermomechanical loading paths. The composite structures consist of thermoplastic polymer matrix with viscoelastic-viscoplastic behavior and ductile damage, reinforced by different types of reinforcements (short fibers or woven fabrics). The anisotropic damage within the yarns is modeled through a micromechanical approach to follow the transverse micro-cracks density evolution. This computational strategy is deployed on composite structures having periodic microstructure, whose phases exhibit different types of nonlinear behavior laws (rheology, damage mechanisms and thermomechanical coupling). The capabilities of the multi-scale approach are demonstrated (i) by comparing numerical predictions with experimental results in terms of global response, macroscopic and microscopic strain fields, and (ii) through the access to spatio-temporal distributions of internal variables at the microstructure scale as well as the intrinsic dissipation in the constitutive phases.
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Submitted on : Friday, December 13, 2019 - 2:13:26 PM
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  • HAL Id : tel-02409393, version 1

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El-Hadi Tikarrouchine. Simulation multi-échelles par EF² de structures composites périodiques en régime viscoélastique-viscoplastique- endommageable avec couplage thermomécanique fort.. Mécanique des matériaux [physics.class-ph]. Ecole nationale supérieure d'arts et métiers - ENSAM, 2019. Français. ⟨NNT : 2019ENAM0032⟩. ⟨tel-02409393⟩

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