On the creep buckling of shells

Creep buckling of shell structures

“…We can also obtain governing partial differential equations from Eq. (2), and solve a creep buckling problem as an eigenvalue problem of the governing equations (Grigoliuk and Lipovtsev, 1969;Obrecht, 1977). Although the bifurcation mode of creep buckling will be shown later, the energy method can be applied to judging such creep buckling.…”

“…As for researches on bifurcation buckling from axisymmetric deformation to asymmetric one during creep process, Grigoliuk and Lipovtsev (1969) conducted a pioneering study. They dealt with an infinitely long circular cylindrical shell subjected to axial compression with an axisymmetric initial deflection expressed by a trigonometric function, taking account of geometrical nonlinearity.…”

“…Obrecht (1977) dealt with an infinitely long and axially compressed circular cylindrical shell with an initial imperfection in the shape of the axisymmetric classical buckling mode, which underwent the power-law strain-hardening type creep law. He presented not only the methodology for detecting the bifurcation point during creep deformation process, which was essentially the same as that of Grigoliuk and Lipovtsev (1969), but also the methodology for judging the stability of postbuckling state, in which the initial postbuckling stiffness was calculated…”

“…He made a comparison between the theoretical predictions for the n = 3 ≈ ≈ Miyazaki and Hagihara, Mechanical Engineering Reviews, Vol.2, No.2 (2015) [DOI: 10.1299/mej.14-00522] © 2015 The Japan Society of Mechanical Engineers critical time and the number of circumferential waves and the experimental results, and found the relatively good agreements. In addition to the creep buckling of a circular cylindrical shell under axial compression described in Chapter 3, Grigoliuk and Lipovtsev (1969) performed a creep buckling analysis of a circular cylindrical shell under a line radial load around a circumference from the viewpoint of bifurcation buckling. carried out a creep buckling analysis of a circular cylindrical shell under non-uniform external pressure and that of a circular cylindrical shell with a circumferential initial imperfection combined with an axial initial imperfection subjected to uniform external pressure.…”