Development of Models for Dynamics of Subassembly Can Walls During Core Disruption

摘要

Employing thin shell theory and Hamilton's principle, the equations of motion in cylindrical coordinates with theta-symmetry are very briefly derived. These equations describe the deformation of a thin, work-hardened, elastic-plastic cylindrical wall undergoing dynamic pressure or thermal loads on its surfaces. The method of differencing these equations and the solution of same is sketched. The results of a test problem comparing this approximate method with a computation by an elaborate two-dimensional Lagrangian code are presented. For our purposes sufficient accuracy is obtained and computation time is reduced by a factor of 50. (ERA citation 02:007298)