A method is presented for the solution of boundary value problems in the secondary creep of circular cylindrical thin shells subject to axisymmetric loading. Approximate stress resultant-middle surface deformation relations based on an n-power creep law are used. Solutions are given for deformation rates and stress resultants in a long cylinder with fixed ends under uniform radial loading and uniform internal pressure. Quantities important for design purposes are found to be reasonably well predicted from the linear elastic solution for a useful range of n values.
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References
1.
JohnsonA. E.HendersonJ.KhanB.‘Multi-axial creep-strain/complex-stress/time relations for metallic alloys with some applications to structures’, Joint Int. Conf. Creep, Proc. Instn mech. Engrs1963–64178 (Pt 3A), 2–27.
2.
HoffN. J.‘Effects thermiques dans le calcul de la resistance des structures d'avions et d'engins’, Agard Report No.521956 (Jan.).
3.
FluggeW.Stresses in shells1960 (Springer-Verlag).
4.
BieniekM. P.FreudenthalA. M.‘Creep deformations and stresses in pressurized, long cylindrical shells’, J. aerospace Sci.196027 (10), 763.
5.
OnatE. T.YükselH.‘On the steady creep of shells’, Proc. Third U.S. nat. Congr. appl. Mech.1958, 625.
6.
CalladineC. R.‘The steady creep of shells—a method of analysis’, Proc. Symp. Nuclear Reactor Containment Buildings and Pressure Vessels, Glasgow, May 1960 (Butterworths).
7.
GemmaA. E.‘The creep deformation of symmetrically loaded circular cylindrical shells’, J. aerospace Sci.196027 (12), 953.
8.
RozenbliumV. I.‘Approximate equations of creep of thin shells’, Pmm196327 (No. 1), 217.
9.
MackenzieA. C.‘On the equations for steady state creep of thin shells’, J. mech. Engng Sci.19657 (No. 1), 114.
10.
HillR.‘New horizons in the mechanics of solids’, J. Mech. Phys. Solids19655, 66.
11.
IlyushinA. A.‘The theory of small elastic-plastic deformations’ (Russian with English summary), Prikladnaia Matematika i Mekhanika19459, 207.
12.
PragerW.‘Total creep under varying loads’, J. aero. Sci.195724 (No. 2), 153.
13.
HodgeP. G.jun.Limit analysis of rotationally symmetric plates and shells1963 (Prentice-Hall).
