Development of non-iterative self correcting solution (NONSS) method for the viscoplastic analysis with the Chaboche model

In a Þnite element program for the viscoplastic analysis with Chaboche model, the non-iterative and self-correcting solution (NONSS) method, proposed by Tanaka and Miller has been implemented. Towards this, the necessary Jacobian coe¦cients have been derived analytically for the sophisticated 23-parameter Chaboche viscoplastic model and Þnally the tangent modulus matrix D* and the residual viscoplastic stress vector m* have been obtained in order to determine the global tangent sti¤ness matrix as well as pseudo-load vector. The computational e¦ciency of this method is demonstrated by solving a variety of bench mark problems over a wide range of rate sensitivity domain under complex monotonic and cyclic loading histories relevant to fast breeder reactor applications. An improved Self-Adaptive Eulers Forward (SAEF) method is taken as the reference for comparison