Premium
On the Contact Problem of Thin Elastic Shells
Author(s) -
DeSilva C. N.,
Tsai P. J.
Publication year - 1969
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.19690490503
Subject(s) - shell (structure) , radius , surface (topology) , contact region , contact area , classical mechanics , mathematical analysis , mathematics , mechanics , geometry , physics , materials science , computer science , composite material , computer security , layer (electronics)
The general problem of the contact of two thin elastic shells is considered within the framework of the Kirchhoff‐Love theory by using the contact surfaces as reference. The constitutive equations are shown to have the form given by the Reissner theory when the middle surface is used as reference. The special form of the governing equations when the classical Marguerre shallow shell assumption is made is proposed for solving contact problems. As an example, the contact problem of two spherical shells is solved to yield the variation of contact pressure and the load with the radius of the contact area.