基于对数应变的有限变形弹塑性一致性算法

Finite Deformation Elasto Plastic Theory Based on Logarithmic Strain and Consistent Algorithm

提出了与基于对数应变的精确有限变形弹塑性理论相应的一致性算法。该算法的计算结果相对于真实解具有一阶精度 ,且能够给出精确的应力更新公式、精确的弹塑性模量和平衡方程。

According to the accurate finite deformation theory based on the logarithmic strain given in part (Ⅰ), a consistent algorithm with first order accuracy is developed. The accurate stress update formation, accurate elasto plastic moduli and accurate equilibrium equation are derived. Finally, a few numerical examples are given to demonstrate the validity of the theory and efficiency of the algorithm.