Tresca和Mises屈服面的两个塑性指标的研究(英文)

Study of Two Important Plastic Indexes of Tresca Yield Criterion and Mises Yield Criterion

对反映塑性的两个重要指标即等效塑性应变增量和体塑性应变增量进行了研究。首先采用正交流动法则,求得Tresca、Mises准则的塑性应变增量,再根据等效塑性应变增量的定义求得它们的相应等效塑性应变增量的值以及塑性体应变增量的值。对比研究发现,Tresca、Mises屈服面上均为某一常数;另外,两者的体应变增量均为零。若规定简单拉伸时两种屈服条件重合,则两者的等效塑性应变增量的相对偏差为15 .5 % ;若规定在纯剪切时两种屈服条件重合,则两者相对偏差为零。

The two important indexes characterizing plasticity of the materials i.e. the equivalent plastic strain increment and volumetric plastic strain increment were researched. First, based on rule of orthogonal flow, the plastic strain increments of Tresca and Mises criterion were got respectively. Second, according to the definition of equivalent plastic strain increment, the corresponding values of equivalent plastic strain increments as well as the value of plastic body strain increment of them. Study indicated that d ε p d λ was certain a constant on yield surface of Tresca and Mises, respectively; and that of the two yield criteria was zero, respectively. Their relative deviation of the equivalent plasticity strain increments was 15.5%, assuming that the two conditions coincide under simple tension; and it was 0 assuming the two conditions coincide under pure shear.