Steady state heat transfer in microcracked media
Résumé
Material behaviour is often affected by the heterogeneities existing at the microscopic level. Especially the presence of cracks, voids, etc collectively known as defects, can play a major role in their overall response. Homogenization can be used to study the influence of these heterogeneities and also to estimate the effective properties of a given material. Several research works have been dedicated to determine the elastic behaviour of a microcracked media. Yet, thermal properties are not investigated as much. Moreover, the question of unilateral effect (opening/closing of cracks) still remains an important issue. So, this paper aims to provide the effective thermal conductivity of a microcracked media with arbitrarily orientated cracks,
either open or closed. With the help of Eshelby-like approach, homogenization schemes (dilute and Mori-Tanaka) are developed to provide the closed-form expression. In addition, numerical simulations based on Finite Element Modelling are also performed to validate and analyze the
obtained results.
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