完全陰解法による分割背応力モデルに基づく損傷弾塑性解析

抄録

This paper describes elasto-plastic damage analysis based on divided back stress by full implicit algorithm. The proposed algorithm guarantees second order convergence for geometrical non-linear iterations using consistent tangent stiffness. We validate the present method in localized necking analysis for checking convergence of residual force and cyclic loading analysis to simulate elastic softening and work-softening due to damage. The residual force is well converged in elasto-plastic damage analysis and the point of crack initiation agreed with that of experiment in necking model. The work-softening and deterioration of macroscopic elastic stiffness are well simulated in cyclic loading analysis.