Abstract
The governing equations of the steady state creep of a two-dimensional thin shallow circular cylindrical shell are developed on the basis of Mises' criterion and the power law of creep. Stresses, membrane forces and bending moments expressed in terms of displacements are then linearized by expanding them in the neighbourhood of a certain approximate value of displacement. Substitution of these expressions into the equations of equilibrium reduces the problem into a set of simultaneous linear differential equations with respect to the small perturbation of the displacements. A method that may be interpreted as a modification of the Newton-Raphson method combined with the method of finite differences is used to solve the linear system of equations. Although calculations are made for a cylindrical panel with clamped edges subjected to normal pressure, the method is quite general and other types of shells, boundary conditions and geometries can be treated similarly.
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