On the question of numerical modeling of the flow stability of bodies

• Published in: Journal of physics. Conference series 2019-10, Vol.1333 (3), p.32096
• Main Authors: Maksimov, A.N., Maksimova, L.A., Arinina, N.N., Gonik, E.G., Ivanova, N.V., Lekomtsev, P.L., Rybakov, L.M., Obolensky, N.V., Ovchukova, S.A., Terentyev, A.G.
• Format: Article
• Language: English
• Subjects: Boundary conditions; Cartesian coordinates; Constraining; Flow stability; Material properties; Perturbation methods; Physics; Plastic flow; Strain; Stress-strain relationships; Thick plates
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/1333/3/032096

The paper deals with the flow of a thick slab from a material in a state of viscous plasticity. The stress-strain state of the plate is determined, taking into account the initial and boundary conditions. The problem is considered in the three-dimensional formulation in the Cartesian coordinate system. The stress state components depend on all three Cartesian coordinates. Currently, it is not advisable to consider problems in a one-dimensional or flat formulation due to the huge number of influencing parameters. The thick plate is loaded with forces parallel to the median plane. The task is considered in a statically definable setting, following A. Yu. Ishlinsky, a famous Soviet and Ukrainian scientist. The perturbation method modified for plastic flow is used by D.D. Ivlev to determine the stress-strain state. The effect of plate flow on material properties and boundary surface conditions is considered. The resulting solution is examined for stability. The limiting transition and special cases illustrating the non-uniqueness of the solution are considered, if we take it formally, without limiting generality. This term is not applicable to this. It is necessary choose the community very carefully.