COLLAPSE OF HYDROSTATICALLY LOADED CYLINDRICAL-SHELLS

A long circular cylindrical shell subjected to external pressure may collapse through the development of a propagating buckle. In this work a method has been developed for the theoretical prediction of the smallest propagation pressure in the case of path-dependent material descriptions. The method is illustrated by comparing predictions of the propagation pressure based on J//2 flow theory with predictions based on J//2 deformation theory for two different radius to thickness ratios. The modeling is based on thin shell theory and small strain approximations, allowing for large deformations. Results for two different nonlinear bending strain measures are compared, and the effect of using a finite strain J//2 flow theory is investigated.