作　　者： ; ;

机构地区： 大连理工大学水利土木学院

出　　处： 《岩石力学与工程学报》 2009年第A01期2721-2729,共9页

摘　　要： 采用复变函数和保角变换的方法,分析压缩作用下张开型裂纹面的变形规律,并求解裂纹面的变形参数;在此基础上,建立裂纹面闭合分析的几何模型。通过对几何模型的分析,首先得出裂纹面的闭合规律,结果表明:张开型(椭圆型)裂纹面在压缩作用下,或者完全闭合,或者完全不闭合,这和岩石力学的普遍观点相符。其次建立裂纹面的闭合判据,并将裂纹面闭合临界载荷值的大小归结为一个一元二次方程的解,求解方便。该判据以裂纹面变形参数作为基本的参量,所得的结论不受加载模式的影响,消除了以往闭合条件的应用局限性;且判据中参数物理意义明确,数学形式简单,便于应用。最后运用相应的算例和数值方法对裂纹的闭合过程进行分析,验证以上的结论的正确性。 The theory on deformation of an open crack surface under compression is studied by methods of complex function and conformal transformation, and the deformation parameters of the crack surface are solved. Base on this theory, the geometric model for analysis of open crack closure is established. Through the geometric model, two conclusions are drawn as follows. First, the closing law of the open crack is obtained which agrees well with the general viewpoints of rock mechanics-an open crack exists either completely closed or completely opened under compressive loading in rock mass. Second, the criterion for a crack closure is defined which is expressed by the deformation parameters. Using this criterion, the critical closing stress of an open crack can be determined by a simple quadratic equation. Besides, this criterion is not influenced by the assumption of the loading patterns, and it can be applied under any compressive load, which extends the applied range of the traditional closing criteria of open crack. At the same time, it is very convenient because of its simple mathematical form and definite physical meanings of unknown parameters. Finally, both theoretic analysis using the above conclusions and the numerical simulation are used to analyze the closing process of the crack surface under various loading patterns, and the numerical results agree well with those of the theoretic ones, which proves the validity of the proposed conclusion.

关 键 词： 岩石力学 闭合规律 变形规律 张开型裂纹

领　　域： [建筑科学] [建筑科学]