MULTI-PARAMETER ACCELERATED MODIFIED NEWTON-RAPHSON METHODS FOR RIGID- PLASTIC FE ANALYSIS

摘要

Applications of certain multi-parameter acceleration techniques used with the modified New-ton-Raphson (mN-R) methods to solve the nonlinear equations arising from rigid-plastic finite element analysis are investigated. New modified multi-parameter techniques, developed from Crisfield's multi-parameter methods, are utilized to solve these nonlinear equations. The numerical performance of these techniques is compared with the standard Newton-Raphson method (sN-R), Crisfield's single parameter method (C1), Crisfield's two parameter method (C2) and Crisfield's three parameter method (C3). The new techniques do not involve additional residual force calculation and require little extra computational effort. In addition, they are more robust and efficient than other existing acceleration techniques.