Influence of support filler and structure of shell mold on its crack resistance

Abstract

Recently, researchers have been paying more and more attention to the influence of internal and external factors on stress state of shell mold (SM). Internal factors should include morphological structure of SM, its types and connections between the contacting layers. External factors should include all types of force and temperature effects on SM external surface. The purpose of this work was to establish the sliding effect of SM internal layers in contact with each other on the level of SM stress state. The mathematical model for determining the stress-strain state (SSS) in the multilayer SM when it is filled with a liquid metal is presented. Moreover, the SM is made in such a way that its layers can slide relative to each other with the presence of friction. This work is a continuation of the recent works of the authors, where the influence of the temperature factor on the studied SM was estimated. At the same time, SM layers have the same physical and mechanical properties. The problem was solved in the same formulation as in the previous works of the authors. The task was set to determine the influence of the support filler (SF) and the clamp in the upper part of SM on SSS in its sections. The influence of SF was estimated by the amount of friction between the outer surfaces of SM and SF. Just as in the previous works of the authors, the linear theory of elasticity, heat conduction equations, and numerical methods were used to solve the problem. On the contact of  SM outer surface with SF surface, the contact problem was solved. Solid phase in the liquid metal during cooling was determined from the equation of interphase transition. Results of the calculations are presented in the form of graphs and plots. It is shown that the absence of friction between the layers reduces the crack resistance of SM multilayer.