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민옥기,임욱선,박명식 연세대학교 산업기술연구소 1986 논문집 Vol.18 No.1
One of the inherent errors in the numerical analysis of an elasto-plastic problem is the error occurred in the plastic stress computation. If an increment in the load state yield the stress point beyond the yield surface. then a correction of this excess stress must be made in order to meet the yield condition. Tangent Predictor Radial Return Method (TPRRM). Secant Stiffness Method (SSM), and Elastic Predictor Radial Corrector Method (EPRCM) have been studied for a common elasto-plastic condition of von Mises. Errors in stress prediction are expressed with two parameters in the π-plane: (I) the angle between the analytical and the computed final stress points and (II) the difference between the analytical and the computed yield surface radii. Single Step Correction(SSC) and Multi-Step Correction(MSC)are adopted in order to compare the errors of these methods. For single step correction, the results of EPRCM is generally more accurate than the results of SSM or TPRRM. The results of MSC further yield smaller errors in angle and radius and show more stable numerical solutions.