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Elastic–Plastic Equilibrium of a Hollow Ball Made of Inhomogeneous Ideal-Plastic Material
The article discusses the solution to the elastoplastic problem of the development of the stress–strain state in an inhomogeneous thick-walled spherical shell. It is assumed that the shell material is ideally plastic. The inhomogeneity of the material consists in the change in the modulus of elasticity E and the yield stress \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma _{T}$$\end{document} along the thickness of the radius, which is described by power functions with three constants. The problem is solved in a centrally symmetric setting. Three options are considered: (1) plastic deformations occur near the inner surface of the shell, (2) plastic deformations occur between two surfaces of the shell, (3) an infinite array with a spherical cavity is considered.
Elastic–Plastic Equilibrium of a Hollow Ball Made of Inhomogeneous Ideal-Plastic Material
The article discusses the solution to the elastoplastic problem of the development of the stress–strain state in an inhomogeneous thick-walled spherical shell. It is assumed that the shell material is ideally plastic. The inhomogeneity of the material consists in the change in the modulus of elasticity E and the yield stress \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma _{T}$$\end{document} along the thickness of the radius, which is described by power functions with three constants. The problem is solved in a centrally symmetric setting. Three options are considered: (1) plastic deformations occur near the inner surface of the shell, (2) plastic deformations occur between two surfaces of the shell, (3) an infinite array with a spherical cavity is considered.
Elastic–Plastic Equilibrium of a Hollow Ball Made of Inhomogeneous Ideal-Plastic Material
Lecture Notes in Civil Engineering
Akimov, Pavel (editor) / Vatin, Nikolai (editor) / Andreev, Vladimir (author) / Maksimov, Mikhail (author)
2021-11-09
12 pages
Article/Chapter (Book)
Electronic Resource
English
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