Solution for an Irregular Perturbation Problem of Viscoplastic Spherical Container Under Internal Pressure
Abstract
An irregular perturbation problem around a quasi-static solution for a motion of a thick-walled spherical container made from viscoplastic material and subjected to a time-dependent internal pressure is dealt with. Only the first perturbations are taken into account. A practically important case of a power excess stress function above the static yield stress is considered.
References
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W.WOJNO, Perturbation solution for a viscoplastic spherical container subject to an internal pressure [in Polish], IFTR Reports, 3/1989.
W.EKHAUS, Matched asymptotic expansions and singular perturbations, North-Holland Mathematics Studies., 6, North-Holland/American Elsevier 1973.
N.JONES et al., The dynamic plastic behaviour of shells, [in:] Dynamic response of structures, [Ed.:] G.HERRMAN and N.PERRONE, Pergamon Press, 1-29, 1972.
A.NAYFEH, Perturbation methods, Pure and Appl. Math., J. Wiley and Sons, New York-London-Sydney-Toronto 1973.
P.PERZYNA, Theory of viscoelasticity [in Polish], PWN, Warszawa 1966.
W.WOJNO, Perturbation solution for rigid-viscoplastic container, Arch. Mech., 31, 407-422, 1979.
W. WOJNO and T. WIERZBICKI, On perturbation solution for impulsively loaded viscoplastic structures, ZAMP, 30, 41-55, 1979.
W.WOJNO and T.WIERZBICKI, Perturbation solution for impulsively loaded viscoplastic plates, Int. J. of Non-Linear Mech., 15, 211-223, 1980.
W.WOJNO, Perturbation solution for viscoplastic beam under ideal impulse loading, Arch. Mech., 33, 1, 83-97, 1981.
W.WOJNO, Perturbation solution for a viscoplastic spherical container subject to an internal pressure [in Polish], IFTR Reports, 3/1989.
