Analysis of interaction between two rectangular inclusions
Noda Naoaki; Chen Mengcheng; Takase Yasushi; Imahashi Tomonori
Abstract:This paper deals with an interaction problem of two rectangular inclusions under longitudinal tension. The body force method is used to formulate the problem as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the unknown functions are the densities of body forces distributed in infinite plates having the same elastic constants as those of the matrix and inclusions. In order to analyze the problem accurately, the unknown functions are expressed as piecewize smooth functions using two types of fundamental densities and power series, where the fundamental densities are chosen to represent the symmetric stress singularity of 1/r1 - l1 and the skew-symmetric stress singularity of 1/r1 - l2. Then, generalized stress intensity factors at the end of inclusions are systematically calculated for various locations, spacings and elastic modulus of two rectangular inclusions in a plate subjected to longitudinal tension. The present method is found to be useful for accurate and efficient analysis of rectangular inclusions. elasticity, composite material, fracture mechanics, body force method, stress intensity factor, end effect, interaction effect, singular integral equations, rectangular inclusions Key Words: