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Abstract
The gas-tight integrity of the thin steel cylindrical liner shells of containment vessels is an important problem in nuclear engineering. To ensure the liner's integrity, it is required that buckling or deformation be avoided. Consequently, in order to estimate the load carrying capacity of the liner the load-displacement response must be investigated. To examine the instabilities of a circumferential slice of the liner shell, subjected to compressive end loading forces, elementary catastrophe theory (ECT) is used. ECT is a recently developed mathematical tool that provides conceptual insight into systems exhibiting discontinuous behavior changes. An ECT model for an elastic ring in a ridgid cavity is developed and a discussion of experimental data supporting the model is presented.
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