一种循环加载的弹塑性本构模型

A Constitutive Model of Elastic-Plastic Materials Applying to Cyclic Loading

建立了一种新的有限变形弹塑性理论-积分型带弹性区物质理论模型,并给出了具有幺模群对称性的有限线性带弹性区物质弹性响应泛函的线性化形式.最后,详细讨论了小变形下具有幺模群带弹性区物质理论应用在单轴应力作用的响应分析,尤其讨论了等幅单轴应力控制循环下的棘轮效应,并和实验结果比较.计算结果表明,我们提出的模型和Hassan等(1994)SS304不锈纲的实验结果非常接近和吻合.

The study of the constitutive relationships of materials under cyclic loading was mainly restricted to small deformation now, so the finite linear model of materials with elastic range is proposed after the discussion of the theory of materials with elastic range. To evaluate the prediction - quality of the model, the calculated results is compared with reliable experimental results. The comparison is drawn with experiments done by T. Hassan. et al （1994）. Reason for this poor performance is analysed and suggestion for future improvement is made.