2011
DOI: 10.1007/s00170-011-3495-z
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Numerical simulation of single particle acceleration process by SPH coupled FEM for abrasive waterjet cutting

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Cited by 32 publications
(20 citation statements)
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“…In hydromechanics, the following equations were often used to describe the motion and status of the fluid when the hydrodynamics problems were solved by using the SPH method [1,[25][26][27].…”
Section: Methodsmentioning
confidence: 99%
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“…In hydromechanics, the following equations were often used to describe the motion and status of the fluid when the hydrodynamics problems were solved by using the SPH method [1,[25][26][27].…”
Section: Methodsmentioning
confidence: 99%
“…Liu et al [1] and Jiang et al [24] used the SPH method to establish a pure continuous water jet and a discontinuous jet to study the performance of water jet cutting rock, respectively. Feng et al [25] adopted the SPH-coupled FEM, in which SPH particles were used to model the highspeed water jet to adapt their extremely large deformation and FEM was applied to model the discrete abrasive particle, cutting head, and workpiece. However, only the acceleration process of a single abrasive particle was studied using this method.…”
Section: Introductionmentioning
confidence: 99%
“…The common methods used in the past for the numerical simulation of the rock blasting process are mesh-based methods (such as the Finite Difference Method (FDM) and the Finite Element Method (FEM)) and the discrete particle methods (such as the Discrete Element Method (DEM) and hybrid FEM-DEM methods) [13][14][15][16][17]. Continuum-based methods often fail to accurately simulate fracture, fragmentation and large deformation or flow during a blasting process [18][19][20]. For a discontinuous model, the rock mass is represented by an assembly of jointed elements and a fracture is initiated when the stress in the joint between two elements exceeds a critical value.…”
Section: Introductionmentioning
confidence: 99%
“…Mesh free methods are usually more expensive in computation time than FEM. Thus, several mixed FEM and mesh free methods have been proposed to use the advantages of each method [18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%
“…Grid connection between these particles is not necessary. The continuous form of kernel approximation f(x) can be written in discretized form of a summation of the neighboring particles as follows [11]:…”
Section: Theory Model Of Sphmentioning
confidence: 99%