Modeling the Stress-Strain State and Optimizing the Angle of Contact of a Spherical Shell Mold by a Support Filler
V. I. Odinokov, E. A. Dmitriev, A. I. Evstigneev, A. N. Namokonov, D. V. Chernyshova, A. A. Evstigneeva
Komsomolsk-on-Amur State University, Komsomolsk-on-Amur, Russia
Keywords: ceramic shell mold, casting, stress state, modeling
Abstract
This paper presents the theoretical study of how the stress-strain state in a shell mold (SM) is affected by the angle of contact of a support filler (SF) surface with the SM provided that this angle of support can prevent the spherical SM from failure due to temperature stresses within it. The problem of optimization of the resistance of the spherical SM as a function of the angle of contact of its SF while the solidifying spherical casting within it cools down is formulated. 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 SM is determined by the normal stress value. The resulting resistance of the spherical ceramic SM is analyzed with account for the dependence of the shear modulus of the mold material on the SF temperature.
|
