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从银纹瞬时成核和以指数形式衰减两种成核模型出发,根据前文给出的微裂纹尺寸统计分布函数及其矩生成函数,基于一阶平均损伤函数的唯象定义,得到了在两种成核机理下的细观统计损伤本构方程和损伤速率的解析表达式.对于各向同性材料,考虑到泊松比随应变而变化,又给出了以应变及应变速率表示的细观损伤统计本构方程.从而把应力、应变、应变速率、温度、时间及材料参数有机地结合起来,为玻璃态高聚物各种力学性能的理论与实验的对比提供了可能.
Starting from the instantaneous nucleation and the exponential decay of two nucleation models, according to the statistical distribution function and the moment generation function of the microcrack size given above, based on the phenomenological definition of the first order mean damage function, MESOSCOPIC CONSTITUTIVE DAMAGE CONSTITUTIVE EQUATION AND ANALYTICAL EXPRESSION OF DAMAGE RATE UNDER NUCLEATION. For isotropic materials, given the change in Poisson’s ratio with strain, statistical constitutive equations of meso damage at strain and strain rates are also given. Therefore, the stress, strain, strain rate, temperature, time and material parameters are organically combined, which provides a possibility for the comparison of theory and experiment of various mechanical properties of glassy polymer.