The well-posedness of the statics problem of the non-linear theory of shallow elastic shells

The continuity of the dependence of the non-singular solution on small perturbations of the dimensions and form of the shell is proved using methods described earlier [1]. These perturbations lead to a change in the region into which the middle surface of the shell is mapped (for example, an increas...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1998, Vol.62 (4), p.631-634
Main Authors: Vorovich, I.I, Lebedev, L.P
Format: Article
Language:English
Online Access:Get full text
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Summary:The continuity of the dependence of the non-singular solution on small perturbations of the dimensions and form of the shell is proved using methods described earlier [1]. These perturbations lead to a change in the region into which the middle surface of the shell is mapped (for example, an increase or decrease in the aperture angle of a shallow spherical cupola). The continuity of the dependence on small changes in parts of the boundary along which some form of boundary conditions is realized (for example, there is some part of the boundary rigidly clamped with respect to the displacement of points in the direction of normal to the middle surface) is also proved.
ISSN:0021-8928
0021-8928
DOI:10.1016/S0021-8928(98)00079-3