弹塑性损伤本构方程及计算

本文根据名义应力与有效应力之间的关系,导出了屈服函数在损伤情况下的表现形式。用加、卸载弹性参数的变化规律确定损伤变量的演化方程;用三次B样条函数对应力—应变全过程曲线进行分段拟合。最后,由文[12]中本构方程的一般关系式导出了各向同性弹塑性损伤材料本构方程的具体形式,并由所编有限元程序对文[1]中的实验结果进行了计算分析。

The Elastoplastic Damage Constitutive Theory and Computation

In this paper, the yield function in the case of damage situation has been derived from the relationship between the nominal stress and the effective stress. The evolutional equation of the damage variable is determined by the change regular pattern of the elastic parameter in loading and unloading, and the curve of the total stress-strain is piecewisely fitted by three order B spline function, Finally the concrete formula of the elastoplastic damage constitutive equations in isotropic medium have been derived from the constitutive relations developed in refference [12], and the computation analysis has been conducted for the experimental results in [1] using finite element method program compiled by the paper's method.