TY - JOUR

T1 - Simulation for 2D compression-shear joint dynamic propagation process using meshless methods based on level sets coordinates

AU - Zhuang, Xiaoying

AU - Huang, Runqiu

AU - Zhu, Hehua

PY - 2012/11/1

Y1 - 2012/11/1

N2 - 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.

AB - 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.

KW - Contact and friction

KW - Joint closure

KW - Joint propagation

KW - Level sets

KW - Meshless methods

KW - Rock mechanics

UR - http://www.scopus.com/inward/record.url?scp=84870376312&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84870376312

VL - 31

SP - 2187

EP - 2196

JO - Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering

JF - Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering

SN - 1000-6915

IS - 11

ER -