Limit Analysis of Cylindrical Shells Subjected to Ring Load - A Comparative Study Between Analytical and Numerical Solutions

摘要

A kinematical approach associated to a 2D yield surface, capable of simulating bending and membrane behaviors, was used to obtain an analytical solution for limit analysis problem of a cylindrical shell subjected to a ring load. The displacement rate field during collapse defines simultaneously the strain rate and the rate of curvature. The solution for the differential equation, corresponding to the collapse mechanism, is trigonometric near the load and hyperbolic elsewhere. A more general linearized 3D yield surface was used to construct a Finite Element technique to solve the same class of problems. Finally, a comparative study of the numerical and analytical solutions is presented.