Analytical model of thermal stresses in two- and three-component materials

The paper deals with an analytical model of thermal stresses in isotropic solid continuum represented by periodically distributed isotropic spherical particles in an isotropic infinite matrix, with or without an isotropic spherical envelope on the particle surface. The multi-particle–(envelope)–matrix system to represent a model system regarding the analytical modelling is applicable to two and three types of two- and three-component materials, respectively. The thermal stresses as functions of microstructural parameters (particle volume fraction, particle radius, inter-particle distance, envelope thickness) originate during a cooling process as a consequence of the difference in thermal expansion coefficients and as a consequence of dimension changes of mutually transforming crystalline lattices due to a phase transformation. Additionally, an analytical–(computational)–experimental method of the lifetime prediction based on the analytical model of the thermal stresses in a three-component material is also presented.