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...

This book presents original mathematical models of phase-transformation stress interactions in composite materials, which result from the superposition method, along with mathematical models of micro-/macro-strengthening and intercrystalline or transcrystalline crack formation, which are induced by these stress-field interactions. The mathematical determination results from mechanics of an isotropic elastic continuum. The materials consist of an isotropic matrix with isotropic ellipsoidal inclusions. These stresses are a consequence of the difference between dimensions of crystalline...

This book presents original mathematical models of phase-transformation stress interactions in composite materials, which result from the iteration method, along with mathematical models of phase-transformation induced micro-/macro-strengthening and intercrystalline or transcrystalline crack formation. The mathematical determination results from mechanics of an isotropic elastic continuum. The materials consist of an isotropic matrix with isotropic ellipsoidal inclusions. These stresses are a consequence of the difference between dimensions of crystalline lattices, which are mutually...

This book presents original mathematical models of thermal-stress-field interactions 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...

This book presents original mathematical models of phase-transformation stress interactions in composite materials, which result from the superposition method. In contrast to the 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 the difference between dimensions of crystalline lattices, which are mutually transformed during the phase-transformation process in the inclusions, the...