锚喷材料经时蠕变损伤本构方程

The Creeping Damage Constitutive Equation for Shotcrete-bolt Material

从以应力、湿度、温度和损伤诸函数的时间积分表示的自由能泛函出发，根据非平衡热力学定律，同时考虑了喷射混凝土老化效应及骨料因素，给出了锚喷材料损伤蠕变本构方程和损伤演化方程，养护时间及蠕变有效作用应力的定义，并用实验结果验证了该理论。

Based on the law of thermodynamics and with Gibbs'free energy functional expression interms of the time integral of stress, temperature and damage functions, the constitutive equation with respect to the.strain, entropy and damage is derived for the shotcrete-bolt material, in which the shotcrete ageing effect andaggregate effect are considered at the same time. The experimental results show that this theoretical curvecoincides well with experimental ones.