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This article is cited in 1 scientific paper (total in 1 paper)
Modeling of external force action on a shell mold for pouring steel
A. I. Evstigneev, E. A. Dmitriev, D. V. Chernyshova, V. I. Odinokov, A. A. Evstigneeva, E. P. Ivankova Komsomolsk-na-Amure State University
Abstract:
The paper formulates and solves the problem of determining the force effect of the support filler on the resistance of the shell form during the crystallization of liquid metal
(steel) in it. As the leading physical quantity that affects the crack resistance of shell
form, the tensile normal stress that occurs in the outer layers of the mold in the first temporary moments when pouring liquid metal into it is accepted.
The force factor affecting the stress-strain state of is the friction between the shell form
and the support filler, which appears during the elastic expansion of the outer layer in the
shell form as a result of temperature exposure from the crystallizing liquid metal. A
mathematical programming problem (min max function) is formulated to determine the
coefficient of friction between the shell form and support filler in order to obtain the lowest value of the normal tensile stress in the support filler over the considered area in the
presence of a system of constraints.
An axisymmetric body of rotation having four regions is considered: liquid metal, solid
metal, shell shape, support filler, which is considered to be a solid body that creates friction at the contact point with the outer layer of. To solve the problem, the equations of
the linear theory of elasticity, the equation of thermal conductivity and a proven numerical method are used, according to which the area under study is divided by a system of
orthogonal surfaces into elements. For each element, a formulated system of equations is
written in a difference form. An algorithm for solving the problem is developed and the
results of the solution are presented, stress diagrams in the support filler are constructed
according to the found value of the coefficient of friction. The analysis of the obtained
results is given.
Keywords:
investment casting, shell mold, stress state, force action, support filler, crack
resistance, numerical method, solution algorithm, software, stress, displacement.
Received: 22.12.2021 Revised: 23.03.2022 Accepted: 18.04.2022
Citation:
A. I. Evstigneev, E. A. Dmitriev, D. V. Chernyshova, V. I. Odinokov, A. A. Evstigneeva, E. P. Ivankova, “Modeling of external force action on a shell mold for pouring steel”, Matem. Mod., 34:5 (2022), 61–72
Linking options:
https://www.mathnet.ru/eng/mm4376 https://www.mathnet.ru/eng/mm/v34/i5/p61
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Abstract page: | 170 | Full-text PDF : | 32 | References: | 42 | First page: | 6 |
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