A Meshfree Particle Method to Simulate Discontinuous Rock Mass

G. W. Ma () and X. J. Wang
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G. W. Ma: Nanyang Technological University, School of Civil and Environmental Engineering
X. J. Wang: Nanyang Technological University, School of Civil and Environmental Engineering

A chapter in Computational Mechanics, 2007, pp 292-292 from Springer

Abstract: Abstract Mechanical response of rock mass is significantly affected by the discontinuities introduced by the joints or faults. It is difficult to model and predict such behaviour using traditional grid-based methods such as FEM. In this paper, a meshfree approach is proposed for the discontinuous media analysis based on the Smoothed Particle Hydrodynamic method (SPH). The whole domain can be divided into different blocks by joints. Each block is represented by a body of particles. Thus, meshes or grids are totally unnecessary. Inside blocks, the SPH method is used to solve continuum equations. Interactions of these blocks are controlled by the contact forces using a developed master/slave contact algorithm. The penalty formulation of contact mechanics is used to enforce the contact condition. The new approach has several advantages. As a meshfree method, it can easily deal with large deformations without extra efforts on rezoning or adjusting meshes. In addition, using the contact algorithm, the developed method greatly improved the treatment of the contact boundary condition which has not been adequately addressed in the SPH method before. Hence, this new method can deal with both continuities and discontinuities. It has been developed to 2D and can be extended to 3D.

Date: 2007
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DOI: 10.1007/978-3-540-75999-7_92

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