Thermomechanical behaviour of multi-cracked brittle media taking into account unilateral effects : theoretical and numerical approaches

Abstract

Micromechanical and numerical methods are explored to predict the effective thermal and thermoelastic properties of a microcracked media. The effective properties are given in 2D and3D. In this thesis, special attention is paid to the anisotropy, induced by the orientation of the cracks and the unilateral effect related to the opening and closing of the cracks. The cracks aremodelled as ellipsoidal inclusions. The open cracks are considered to have no stiffness and to be thermally insulating, whereas the closed cracks are represented by a fictitious isotropic material.The theoretical approach takes advantage of various homogenization schemes and bounds to derive closed-form expressions of effective properties. The numerical approach considers finiteelement modelling and is based on the same geometry and properties of cracks as in the theory. Finally, results are compared to demonstrate the consistency between the two approaches

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