THE THEORY OF ROTATIONALLY SYMMETRIC PLASTIC SHELLS

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Abstract
The defining equations for a rigid/perfectly plastic shell are derived from basic principles. On the basis of a single geometric assumption for the velocity field, generalized strain rates and stresses are defined and equilibrium relations deduced. Shell yield conditions and flow law are discussed in general terms and then specifically for piecewise linear yield conditions. Preceding the general shell problem, the theory of beams under bending and axial forces is discussed to give a general insight into plastic structural behavior. The paper closes with an application to cylindrical shells and a discussion of areas for future development.

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