沥青层底裂缝几何函数和权函数分析

为了更好分析沥青路面的裂缝开裂问题，以裂缝面受均匀拉应力为参考荷载，利用有限元方法计算出不同沥青层底裂缝长度的应力强度因子，从而得到不同裂缝长度的离散几何函数值，再根据这些离散几何函数值，为沥青层底裂缝拟合出了3个几何函数F(a/b）。并利用另外两种荷载对这3个几何函分别进行了检验，用3个数根据汉函数理论计算出的应力强度因子和有限元计算出的应力强度因子在所有计算范围内都吻合得很好。利用这几何函数得到了裂缝所有计算范围的权函数，并绘图进行了对比分析。

Analysis of Bottom Cracks in Asphalt Layers with Geometric Functions and Weight Functions

In order to effectively analyze the crack propagation in asphalt pavements, three geometric functions F(a/b) for analysis of bottom cracks in asphalt layers are yielded by fitting some discrete values of crack lengths. These discrete values with different ratios of crack length a to asphalt thickness b are obtained based on the stress intensity factors calculated by finite element method (FEM) with the crack face being subject to a uniform stress. The three geometric functions are verified respectively under other two sets of loads. The stress intensity factors produced by the three geometric functions according to the theory of weight function are in good agreement with those calculated by FEM in the whole calculation fields. In addition, the weight functions in the whole calculation fields are obtained using the three geometric functions, and a comparison between the weight functions is made.