Steady state heat transfer in microcracked media

Sharan Raj Rangasamy Mahendren (1) , Hélène Welemane (1) , Olivier Dalverny (1) , Amèvi Tongne (1)

1 LGP - Laboratoire Génie de Production

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.

Keywords: Homogenization; Heat conduction; Microcracking; Unilateral effect; Simulations

Domains: Mechanics of materials [physics.class-ph]

Sharan Raj Rangasamy Mahendren, Hélène Welemane, Olivier Dalverny, Amèvi Tongne. Steady state heat transfer in microcracked media. Congrès Français de Mécanique, Aug 2019, Brest, France. pp.1-10. ⟨hal-03103950⟩