The collapse of cylinder/sphere intersecting pressure vessels

Abstract

A general method is presented for finding lower and upper bounds on the collapse pressure for a plastic-rigid vessel composed of intersecting cylindrical and spherical shells obeying Tresca's yield condition and associated flow rule. Depending upon the ratio $\text{(}\text{t}\text{d}\text{)/(}\text{T}\text{D}\text{)}$ different types of solutions are generated. The solutions are presented in terms of generalized stresses and may be used in conjunction with any choice of yield surface of the form Φ(N_ϕ,N_θ,M_ϕ) = C².