沥青混凝土路面开裂破坏的渗流模型分析

渗流模型是处理相变与临界现象的有力工具,在本质上属于概率论的一个分支。沥青混凝土路面的开裂破坏是由于无数条微裂缝之间相互连通而导致的,其微裂缝无限连通的过程在数学上属于渗流问题。将渗流模型理论应用于沥青混凝土路面破坏过程的描述,通过选择合适的渗流模型,对沥青混合料破坏的最近邻、次近邻和第三近邻等3种状态的渗流演变过程进行了计算分析,用重整化群方法求出渗流阈值,用以确定沥青混凝土路面开裂破坏的临界条件,为沥青混凝土路面破坏研究提供一种新的思路。

Percolation Model of Asphalt Concrete Pavement Crack Damage

Percolation model in essence belonging to a branch of theory of probability is an available tool to deal with phase transitions and critical phenomena.The asphalt concrete pavement appears crack damage,because numerous micro-cracks have interaction.The limitless connective process of micro-cracks belongs to percolation problems in mathematics.The theory of percolation is applied to describing the destructive process of asphalt concrete pavement,and then the appropriate percolation model is selected out to analyze and compute the percolation process of asphalt concrete pavement cracking under nearest,nearer,and third neighbor conditions.The method of renormalization group is used to find out the percolation threshold,which can determine the critical condition of asphalt concrete pavement crack.The proposed model provides a new way to study crack damage of asphalt concrete pavement.