Thermal Stresses in Composites with Ellipsoidal Inclusions II

This book presents original mathematical models of thermal stresses in composite materials with three components. In contrast to mathematical models for two-component materials, which are determined in the first volume, the three-component materials consist of an isotropic matrix and isotropic ellipsoidal inclusions with an isotropic ellipsoidal envelope. These stresses are a consequence of different thermal expansion coefficients of the material components. The mathematical determination results from mechanics of an isotropic elastic continuum, and results in different mathematical solutions. Due to these different mathematical solutions, the principle of minimum elastic energy is considered. The mathematical models for the three-component materials are applicable to those for the thermal-stress induced micro-/macro-strengthening and crack formation in the two-component materials, which are determined in the first volume.