This volume presents original mathematical models for analyzing thermal and phase-transformation stresses in three-component composite materials. Unlike conventional two-component systems, the materials studied here consist of an isotropic matrix, isotropic ellipsoidal inclusions, and an isotropic envelope surrounding each inclusion. The book examines stresses that arise during cooling processes due to differences in thermal expansion coefficients and crystal lattice dimensions between the material components. Based on the fundamental principles of continuum mechanics and elasticity theory, comprehensive mathematical and computational models are developed for representative microstructural systems. Special attention is given to matrix–envelope–inclusion composites found in engineering materials, including precipitate-strengthened alloys and polycrystalline structures. The models account for interactions between neighboring microstructural cells and provide a rigorous framework for predicting stress distributions within complex composite materials. Building on the foundations established in the first volume, the results presented here offer valuable tools for investigating micro- and macro-strengthening mechanisms, crack formation, and the mechanical behavior of advanced composite materials.
