This article considers mathematical modeling problems of elastic boundary value. The stress-strain state mathematical modeling is used to assess the adequacy of theoretical solutions. The conditions of stress-strain state elements of the study mathematical modeling of the car body are given. The obtained analytical dependences make it possible to simulate the stress-strain state of the car body elements in real operating conditions and to compare the experimental and calculated values of stresses, strains and displacements arising under load.
Application of wear resistant coatings on cutting tools in a technological process requires taking into account multiple factors. Optimisation of the hardening process presents one of the main steps that needs to be addressed. This paper describes a method of optimisation of the electro-spark coating (ESC) process. The performance of the process was chosen as the target function. A parametric function was defined based on the previously developed mathematical model of the process whereby the condition of the strong connection of coating material with the foundation was used. Another parametric function is a prerequisite for a suitable coating thickness. Additional limitations are the characteristics of the equipment for the reinforcement
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