The Study of Stress State Uniformity Along with the Thickness of the Constructive Element of Housing High-Pressure Vessels Deformed by Conjugated Elements of Physical Separation of Heating Elements Embedded in the Vessel Housing

Abstract

This study represents the research dependency of uniform stress distribution degree in an elastic isotropic deformable body (elastic half-plane and elastic monolithic thick cylinder) from the distance between the rectangular elements which have contact with the deformable body considered in the two-dimensional formulation. The nature of contact interaction with deformable rectangular elements presented as unidirectional exposure on the deformable body of rigid either elastic rectangular stamps, as well as exposure to uniform pressure simulating contact pressure in the line of contact interaction. The mathematical model is obtained for calculating stresses in an elastic half-plane loaded with uniform constant pressure in two sections of finite length in the two-dimensional formulation (development of an analytical solution to the Michel task). A method for assessing the relative uniformity of the stress distribution in an elastic isotropic deformable body is proposed. This method is based on discrete control of the absolute values of the target stress components on finite element models (FEM). The results of a numerical study of the stress state of objects emulating the inner casing of the insulating layer (Pimshtein et al. in Autoclave for the synthesis and growth of crystals in hydrothermal conditions, 1997; Elovenko in Future directions of the development of high-pressure autoclaves. Herald Irkutsk State Tech Univ: 41 277–279, 2010] or a constructive element on which multilayer components of the bearing part of the vessel housing are mounted in contact with the distance planks (Elovenko et al. in Experimental study of the autoclave model for hydro-thermal synthesis of minerals. Baikal Lett DAAD 7:11–19, 2010) are presented by FEM. The effectiveness of the proposed numerical research method is confirmed by comparing the results of solving typical test problems with known analytical solutions.