LARGE DEFLECTION THEORY OF VERY THIN WALLED ROTATIONALLY SYMMETRIC SHELLS SUBJECTED TO CONCENTRATED LOADS.
Final rept., 1 May 61-31 Oct 64,
STANFORD UNIV CALIF
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The general problem considered was the finite deflection analysis of the effects of concentrated loads - line loads and point loads in particular - upon very thin walled shells. During the course of the research, the orginal statement was modifed in view of the results obtained in the following two respects. First, the idea of a point load, which is represented in linear, small deflection theory by a singular solution to the governing differential equations, must be defined for finite deflection theory as the limit of a localized load, applied over a finite area, as the area shrinks to zero. Second, a restriction to infinitesimal elastic strain under localized loads is valid for real materials only for extremely small values of load, and this makes it very difficult to check by experiment the results of theory developed under such restriction. Results were obtained for two classes of problems a line loads on rotationally symmetric, inflated membranes in a state of finite strain b localized loads on stretched, elastic-perfectly plastic membranes. Author