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On the Theory of Nearly Spherical Thin Shells
Author(s) -
Oravas GunhardAestius
Publication year - 1958
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19580380908
Subject(s) - spherical shell , constant (computer programming) , shell (structure) , poisson distribution , surface (topology) , mathematical analysis , boundary (topology) , differential equation , poisson's ratio , surface of revolution , disturbance (geology) , geometry , mathematics , physics , classical mechanics , materials science , geology , computer science , composite material , statistics , programming language , paleontology
A novel approximate theoretical solution is presented in this paper for the boundary disturbance of thin elastic shells of revolution with a nearly spherical middle surface and constant thickness. The indicated solution is a procedure of successive corrections, which was originally used by S. D. Poisson in handling non‐linear differential equations and introduced into thin shell analysis by E. F. Burmistrov.