Abstract
A method of analysis of prestressed concrete pressure vessels subjected to pressure overload is presented. The method is based on the finite element variational procedure. A cracking criterion for concrete is discussed in detail. The steel elements are assumed to be elastic/ perfectly plastic. Von-Mises yield criterion and Prandtl-Reuss flow equations define the behavior of the liner in the range of plastic deformations. The constitutive and equilibrium equations of the three types of elements utilized in the structure, namely, concrete, uniaxial steel and liner elements, are derived. These equations are valid throughout the entire range of deformations. The case considered is one which involves two-dimensional (axisymmetric and plane) states of stress only. A step-by-step solution procedure, by which the pressure is applied incrementally is adopted. The utility of the method is demonstrated by an example; and a limited experimental correlation is given.
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