Stress-Strain State of Inelastic Composite Open Shell
Abstract: The article presents a numerical calculation of an inelastic open-ended composite shell consisting of a cylindrical and conical part by the method of successive approximations based on the method of elastic solutions. The problem of elasticity in each approximation is solved by a difference method based on the variational equation of J. Lagrange in displacements of points of the median surface. In this case, the matrix of the system of equations does not change from approximation to approximation. Only the right-hand parts, which depend on plastic deformations, are changed. First, the statement of the problem is given: a circular open composite shell is considered, consisting of a cylindrical and conical part with hingedly fixed meridional edges and rigidly embedded edges in the circumferential direction under uniformly distributed load acting normal to the middle surface. Boundary conditions are formulated. The validity of using shell symmetry is proved. The convergence of the solution of the elastic problem is established by double thickening of the grid. The moment of appearance of the first plastic deformations in the most loaded node of the grid area is established. The elastic-plastic state of this shell is determined by the elastic solutions method: the field of intensity of tangent stresses along the thickness of the shell over the entire grid area is specified; the field of deflections of points of the middle surface over the entire grid area is given in tabular form and in the form of volumetric and flat graphs.
Keywords: open composite shell, variation-difference method, boundary conditions, intensity of tangential stresses.
Pages: 113-125.
For citation: Mushchanov, V. F.; Demidov, A. I.; Orzhekhovsky, A. N. Stress-Strain State of Inelastic Composite Open Shell. – Text : electronic. – In: Metal Constructions. – 2019. – Vol. 25, N 3. – Р. 113-125. – URL: https://donnasa.ru/publish_house/journals/mk/2019-3/03_mushanov_demidov_orzhekhovsky.pdf (date of access: 22.11.2024). – ISSN 1993-3517.
Vol. 25, N 3 (2019)
Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture