Analytical solution of the stability problem for the truncated hemispherical shell under tensile loading
type: Item
instance of: scholarly article
title: Analytical solution of the stability problem for the truncated hemispherical shell under tensile loading
zbMATH Open document ID: 1427.74069
DOI: 10.1155/2018/5260639
author: Alexander L. Kalamkarov
author: Igor I. Andrianov
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Analytical solution of the problem of buckling of truncated hemispherical shell of revolution, subjected to tension loading, is obtained. Assumption of membrane prebuckling state is applied, and the range of applicability of this assumption is estimated. The developed algorithm is based on the asymptotic simplification procedure of bifurcation equations. The formula for the bifurcation tension load is derived and compared with the earlier published empirical and numerical results. It is shown that it is sufficiently accurate and can be used in engineering practice.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 7019106
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5260639
OpenAlex ID: W2901967197
cites work: Nonlinear Asymmetric Buckling of Truncated Spherical Shells
cites work: Q4665293
cites work: Asymmetric Buckling of Toroidal Shells Under Axial Tension
cites work: Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions
cites work: Asymptotic homogenization method and micromechanical models for composite materials and thin-walled composite structures
cites work: Analytical investigation of buckling of a cylindrical shell subjected to nonuniform external pressure
description: scientific article; zbMATH DE number 7019106