有限变形塑性的指数算法

基于不同的应力测量方式，将得到不同形式的有限变形塑性的算法列式。本文基于柯西应力来表示屈服准则，给出了以柯西应力表示的有限变形塑性的指数算法列式。利用对数应变，在主轴下建立了返回映射算法，得到了一种非对称的算法切线模量。它保持了在无穷小理论中返回映射的算法结构。算例表明，对于静水压力相关的塑性材料，应力测量形式的选择对数值结果有较大的影响，柯西应力列式得到了合理的结果。

Exponential algorithm of Finite Deformation Elasto Plasticity at Large Strains

Based on the various stress measures, the respective algorithmic formulation is derived. The expenentical algorithm in terms of Cauchy stresses within the finite deformation elasto plasticity is submitted. By use of the algoarithmic strain measures the traditional return mapping algorithm under the major axis is established, guing a kind of unsymmetic algorithmic tangential modulus, and keeping the return mapping algorithmic structure according to the inifintesmal theory. The numerical examples indicate that, for the pressure dependent plasticity, the influence of the various stress measures as the argument in the definition of yield criterion is significant, and the formulation in terms of Cauchy stresses leads to the rational results.