Abstract
In this paper, a new iterative method is proposed for elastic-plastic analysis. This method employs either of the rank-one Jabobian updates (Broyden's or Davidon's) in a different approach. Also, this method is more computationally efficient and has a higher convergence rate than the quasi-Newton approaches particularly for the analysis of highly nonlinear problems. Numerical experiments are carried out by using two plasticity examples. Essentials of the method on computational efficiency and convergence rate are compared with those of full Newton-Raphson and quasi-Newton approaches. Potential applications of the proposed iterative scheme are then given.
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