Work-Conjugate Boundary Conditions in the Nonlinear Theory of Thin Shells

[+] Author and Article Information
J. Makowski, W. Pietraszkiewicz

Ruhr Universität, Lehrstuhl für Mechanik II, D-4630 Bochum 1, Federal Republic of Germany

J. Appl. Mech 56(2), 395-402 (Jun 01, 1989) (8 pages) doi:10.1115/1.3176096 History: Received April 26, 1988; Revised August 17, 1988; Online July 21, 2009


Work–conjugate boundary conditions for a class of nonlinear theories of thin shells formulated in terms of displacements of the reference surface are discussed. Applying theorems of the theory of differential forms it is shown that many of the sets of static boundary conditions which have been proposed in the literature do not possess work–conjugate geometric counterparts. The general form of four geometric boundary conditions and their work–conjugate static boundary conditions is constructed and three particular cases are analyzed. The boundary conditions given here are valid for unrestricted displacements, rotations, strains and/or changes of curvatures of the reference surface.

Copyright © 1989 by ASME
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