A simple method is introduced for computing the effective conductivity of isotropic composite with imperfect interface. Based on the doubly-coated circle assemblage model, one can determine the effective thermal conductivity of the composite. | Vietnam Journal of Mechanics, VAST, Vol. 40, No. 4 (2018), pp. 377 – 385 DOI: EFFECTIVE CONDUCTIVITY OF ISOTROPIC COMPOSITE WITH KAPITZA THERMAL RESISTANCE Nguyen Trung Kien1,∗ , Nguyen Van Luat2 , Pham Duc Chinh3 1 University of Transport and Communications, Hanoi, Vietnam 2 Hanoi University of Industries, Vietnam 3 Institute of Mechanics, VAST, Hanoi, Vietnam ∗ E-mail: ntkien@ Received August 07, 2018 Abstract. A simple method is introduced for computing the effective conductivity of isotropic composite with imperfect interface. Based on the doubly-coated circle assemblage model, one can determine the effective thermal conductivity of the composite. The application of this model to the composite with imperfect interface of the Kapitza’s type is proposed. The results obtained were compared with the Fast Fourier Transform simulation and the equivalent inclusion approximation in 2D show the effectiveness of the methods. Keywords: effective conductivity, imperfect interface, Kapitza thermal resistance. 1. INTRODUCTION Understanding of the effects of the microstructural characteristics on effective properties of composite has been the subject of numerous works in the framework of the homogenization theory. In the literature, most research has focused on the idealized case of perfect interface contact. However many experimental results [1, 2] indicate that the effective thermal conductivity of composites can be affected by a thermal resistance at the interface between the individual components. The theoretical analyses of this problem were conducted by Benveniste and Miloh [3], Hasselman and Johnson [4], Dunn and Taya [5], Torquato and Rintoul [6]. An important point to all these works is that the effective conductivity of the composites depends on the size of the inclusion. The purpose of the present paper is to propose a simple method to compute the effective thermal conductivity for isotropic composite with .
