Bending Curvature of Particulate Composites Undergoing Uniform Linear Heat Flow

Abstract

For particulate composites undergoing linear heat flow, a general expression for the relative curvature in the inclusions, relative to the radius of curvature in the matrix alone in the absence of inclusions, has been developed in terms of the ratios between the values of thermal and elastic constants of the matrix and the dispersed phase material (i.e., inclusion). Cases where the property ratios may have some specific values or extreme values, giving some particular results, have been identified and discussed. Results presented with the help of plots covering a wide range of ratios of the constituents’ properties are expected to be helpful in assessing the behavior of particulate composites under steady-state heat flow condition.