摘要
A fatigue damage model based on thermodynamics was deduced for asphalt mixtures under controlled-stress and controlled-strain modes. By employing modulus of resilience as the damage hardening variable, a damage variable related with dynamic modulus was extracted as the evaluation index. Then, the damage evolution law under two control modes was proposed, and it has a similar form to the Chaboche fatigue model with a nonnegative material parameter m related to its loading level. Experimental data of four loading levels were employed to calibrate the model and identify the parameter in both control modes. It is found that the parameter m shows an exponential relationship with its loading level. Besides, the difference of damage evolution under two control modes was explained by the law. The damage evolves from fast to slow under a controlled-strain mode. However, under a controlled-stress mode, the evolution rate is just the opposite. By using the damage equivalence principle to calculate the equivalent cycle numbers, the deduced model also interprets the difference of damage evolution under two control modes on the condition of multilevel loading. Under a controlled-strain mode, a loading sequence from a low level to a high level accelerates damage evolution. An inverse order under the controlled-stress mode can prolong fatigue life.
推导了应力控制和应变控制模式下沥青混合料的热力学疲劳损伤模型.选取回弹模量作为损伤硬化参数,提取出一个与动态模量相关的损伤变量作为评估指标.所获得的2种控制模式下的损伤演化规律中保留了一个与加载水平有关的非负材料参数m,具有与Chaboche疲劳模型相似的形式.在每种控制模式下,采用4组加载水平所获得的疲劳损伤试验数据校核模型并确定参数.由此发现参数m与荷载水平呈指数关系.利用所获得的演化方程可阐述2种控制模式下的损伤演化差异,即在应变控制模式下,疲劳损伤演化由快变慢,在应力控制模式下情况则相反.通过利用损伤等效原理计算等效荷载循坏次数,该模型还解释了在多级加载条件下,2种控制模式的疲劳演化差异:在应变控制的疲劳模式下,所加荷载等级按照从低荷载到高荷载的顺序会加速损伤演化,而在应力控制的疲劳模式下,相反的荷载施加顺序可延长疲劳寿命.
基金
The Open Fund Project of National Key Laboratory of High Performance Civil Engineering Materials(No.2016CEM001)
