含缺陷粘弹性材料的序参量本构方程

CONSTITUTIVE EQUATION WITH ORDERED PARAMETERS FOR VISCOELASTIC MATERIAL CONTAINED DEFECTS

根据缺陷演化期形成的局域温度场的实验成果，用该内部温度场定义缺陷场．然后对统计相关细观缺陷的演化过程结合这些缺陷的生成速率和成核率进行了分析，认为含缺陷粘弹性材料的动态破坏过程可以用热波传播的程序按通常方法定量描述．提出缺陷场作为实集与空集联合的一个复杂体系，其主要特征取决于由序参量描述的最高层次子系统活动的层次假设．采用投影算符方法证明了序参量的涨落．最后，由非线性流变动力学途径导出含缺陷粘弹性材料的序参量本构方程，并求得其解．

Based on the experimental resultS of local temperature field formed in the evolutionary Period of defects, the defect field is defined by this niternal temperature field. The evolutionary processes of statistical meso-scopic correlative defects are analysed with the meso-defect growth rate and the nucleation rate, and deem that the dynamic failure process of the viscoelastic material with defects could be quantitatively described by the normal method of the procedure of heat wave transmission. The defect field is regarded as a complex system of union of the real sets and the null sets,its main character to be depended on the stratum hypothesis which says that the ordered parameters always describe the activities of the subsystems of the highest stratum is proposed. The fluctuation of ordered parameter is demonstrated by means of the projection operator method. The constitutive equation with ordered parameters for the meso-defect evolutionary state of viscoelastic material with defects is deduced from the nonlinear rheological dynamic approach, and itS solution is obtained.