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- W2143778033 abstract "This paper describes a new digital computer method of computation of the stresses and displacements in a thick-walled pressure vessel, using a damped wave equation modification of the elastostatic continuum equations, which are formulated as finite difference equivalents using centred differences both in time and space with the damping arranged to be approximately dead-beat. The method is developed from a similar method used for the solution of the tidal flow equations in one- and two-dimensions (Appendix A), and for illustration, two simple calculations are given in detail for one-dimensional elastic and thermoelastic problems in a bar. The technique is developed for axially symmetric pressure vessels using cylindrical polar coordinates and a discussion is given of the boundary conditions, the damping factor and the stability criterion to be used, and the number of iterations required in the calculations. A typical instance is given of calculations for an actual pressure vessel. The possibility of estimating stress or temperature dependent creep in the frame of the dynamic relaxation method is discussed. Finally, the application of the method to other forms of partial differential equation is suggested (Appendix B)." @default.
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- W2143778033 date "1965-01-01" @default.
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- W2143778033 title "Computations for prestressed concrete reactor pressure vessels using dynamic relaxation" @default.
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- W2143778033 doi "https://doi.org/10.1016/0369-5816(65)90097-9" @default.
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