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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 analy-sis are investigated.New modified multi-parameter techniques,developed from Crisfield’s multi-parametermethods,are utilized to solve these nonlinear equations,The nnumerical performance of these techniques iscompared 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 donot involve additional residual force calculation and require little extra computational effort.In addition,theyare more robust and efficient than other existing acceleration techniques.
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 analy- sis were. The numerical performance of these techniques iscompared with the standard Newton-Raphson method (sN-R), Crisfield’s single parameter method (C1), Crisfield’s two parameter method (C2) and Crisfield’s The new techniques donot involve additional residual force calculation and require little extra computational effort. In addition, they are more robust and efficient than other existing acceleration techniques.