Abstract: 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.

Key words: asphalt concrete pavement , crack damage , percolation model , renormalization group , percolation threshold ;

摘要： 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。

关键词: 沥青混凝土路面, 开裂破坏, 渗流模型, 重整化群, 渗流阈值