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Abstract The contract and frictional algorithms are developed in the meshless method，element-free Galerkin method for modelling 2D crack propagation in rock mass subjected to compressive and tensile loading conditions. Here，the level set method is used to describe the crack geometry. To capture the displacement jump across the joint when the join is open，the diffraction rule is used to modify the weight function；and hence construction of the discontinuous meshless approximation. The joint closure is modeled by a new meshless frictional sliding and contact algorithm，which is similar to the well known Goodman element in the family of finite elements to model the sliding and contact between joint surfaces. Different from Goodman element and former meshless methods，the construction of present method is based on the material points instead of the nodes，and thereby it performs better and is more flexible in model generation of a joint of complex geometry. The material points and nodes generation after joint propagation is based on the level sets functions which have a general form for arbitrary crack in 2D. A number of examples are tested to model the crack propagation in rock samples subjected to compression and tension showing the correctness of the method.
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Received: 18 April 2012
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2012, Vol. 31 
