Mathematical Modeling of Thermomechanical Phenomena in Machining of Products Made of Functionally Graded Materials

Mathematical modeling of thermomechanical processes that accompany the mechanical processing of products to control them in technological systems is one reserve for improving the quality of products and their performance in mechanisms. Deterministic modeling of thermomechanical phenomena in the mechanical processing of structurally homogeneous materials using equations based on continuous functions allows us to obtain solutions that are represented as analytical relations in closed form and are convenient for analyzing these processes and based on them to make a rational choice of technological parameters to ensure the required characteristics of the processed surfaces of products. The article presents a numerical and analytical model for determining the thermomechanical state during the mechanical processing of structurally inhomogeneous materials containing inhomogeneities such as interfacial cracks and inclusions. Based on this model, functional dependencies of surface layer quality criteria with technological control parameters are determined to ensure products’ processed surfaces’ required characteristics.