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该文对半刚性基层沥青路面结构采用弹性层状体系平面应变分析模型,利用改进的Williams级数,结合广义参数有限元法和常规等参元,建立了反射裂缝裂尖应力强度因子分析的广义参数Williams单元,并推导了Williams单元的刚度方程,据此研究了正对称荷载和偏载分别作用时,反射裂缝扩展过程中应力强度因子的变化规律;重点分析了偏载作用下路面结构层参数与应力强度因子之间的关系。Williams单元中含有与应力强度因子相关的参数,可以直接获得裂尖应力强度因子。算例分析表明:Williams单元与传统方法的计算结果吻合较好,且格式简单,计算精度高,适用于沥青路面反射裂缝扩展过程分析。
In this paper, plane strain analysis model of elastic layered system is adopted for semi-rigid asphalt pavement structure. Based on the improved Williams series, combined with generalized parametric finite element method and conventional isoparametric element, the generalized definition of stress intensity factor at crack tip is established Parameter Williams element, and deduces the stiffness equation of Williams element. Based on this, the variation regularity of stress intensity factor in the process of reflective crack propagation is studied. The influence of partial load on the parameter of pavement structure layer And stress intensity factor. The Williams cell contains parameters related to the stress intensity factor, which gives direct access to the crack tip stress intensity factor. The case study shows that the calculated result of Williams unit is in good agreement with the traditional one, and its format is simple and the calculation accuracy is high. It is suitable for the analysis of the reflective crack propagation in asphalt pavement.