Dynamic Plastic Buckling of Cylindrical Shells in Sustained Axial Compressive Flow

Abstract

A theory is postulated to explain the dynamic plastic buckling of cylindrical shells in sustained axial compressive flow. Tube impact experiments are described in which uniform axisymmetric waves were produced. Predicted and experimental wavelengths are in satisfactory agreement. According to the theory presented, wavelengths do not depend strongly on strain-hardening modulus and, based on results for two aluminum alloys, neither do experimental wavelengths. This result is shown to apply also to slow plastic buckling.

Dynamic elastic-plastic buckling of rectangular plates in sustained flow

“…In most cases this value of a may be taken as the initial value since the change during the elastic deformation will generally be small. This conception certainly agrees with the observations in [1] for cylindrical shells in which the buckled wave form was selected very early in the motion. More immediate verification is given in Table 2.…”

“…The mode numbers obtained from this theory will then correspond to large-amplitude buckling in which some unloading does occur, since the results of [1] show that mode numbers do not change with increasing load.…”

“…For relatively high rates of loading, Florence and Goodier [1] have demonstrated that plastic buckling of cylindrical shells under axial compression is characterized very early in the motion. They obtained a series of high-speed photographs which show that the wavelength of the instability remains fixed and only the amplitude changes as time increases.…”

Experimental studies on dynamic plastic buckling of circular cylindrical shells under axial impact

“…Florence and Goodier [ 1] may be the earliest researchers who have studied the dynamic plastic buckling behaviors of a cylindrical shell under axial impact. In their study, the circular cylindrical shell and the coherent mass are impacted against a rigid wall with definite velocity V0.…”

Dynamic buckling of thin cylindrical shells under axial impact

“…Historically, dynamic plastic buckling is associated with high velocity impact of cylindrical shells made of an aluminum alloy [7,8]. When cylindrical shells are subjected to axial impact at speeds sufficient to cause a moderate amount of plastic deformation axisymmetric buckling occurs.…”