Calculation of internal pressure in a cylindrical pore

Abstract

A method for calculating the internal pressure in a cylindrical pore that has arisen in the material of a product made using powder metallurgy technologies is described. A pore with an internal pressure, from certain positions, should be considered as a defect, which, if not removed, then at least from the known pressure inside the pore, certain onclusions can be drawn about the degree of strength reliability of this porous product. In addition, the measured pressure inside the pores allows you to optimize the manufacturing processes of products, control the structure and properties, and avoid the formation of cracks at the boundaries of the particles that make up the material. In this paper, a method is proposed for calculating the pressure in a pore, based on the displacements of the outer surface of the sample, when an external load is applied to the product. In this case, the known solutions of the problem of elasticity theory about the deformation of a spherical cavity located in the center of a spherical hollow ball are used.