Simulating the Stress-Strain State and Optimizing the Contact Angle of a Spherical Shell Mold by a Support Filler

Abstract

This paper presents a theoretical study of the effect exerted on the stress-strain state in a shell mold by the contact angle between the support filler (SF) surface and the shell mold at which the spherical shell mold is not destroyed by the temperature stresses arising in it. We formulate the problem of optimization of the resistance of the spherical shell mold as a function of the contact angle of its support filler while the solidifying spherical casting within it cools down. The problem is solved using Navier equations, a heat equation, and a numerical method. The numerical scheme and the algorithm developed for solving the problem are given. It is shown that the crack resistance of the ceramic shell mold is determined by the normal stress value. The resulting resistance of the spherical ceramic shell mold is analyzed with account for the dependence of the shear modulus of the mold material on the support filler temperature.