TY  - EJOU
AU  - Khezri, Mani  
AU  - Hashemian, Alireza  
AU  - Shodja, Hossein M.  

TI  - Analysis of a crack problem via RKPM and GRKPM and a note on particle volume
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2009
VL  - 11
IS  - 4
SN  - 1933-2815

AB  - Meshless methods using kernel approximation like reproducing kernel particle method (RKPM)  and gradient RKPM (GRKPM) generally use a set of particles to discretize the subjected domain. One of the major steps in discretization procedure is determination of associated volumes particles. In a non-uniform or irregular configuration of particles, determination of these volumes comprises some difficulties. This paper presents a straightforward numerical method for determination of related volumes and conducts a survey on influence of different assumption about computing the volume for each particle. Stress intensity factor (SIF) as a major representing parameter in fracture of solids is calculated by employing meshless methods for an edge-cracked plate under first mode loading condition which is one of the benchmark problems in fracture mechanics. The obtained results are compared using an analysis in terms of dilation parameter.
KW  - Reproducing kernel particle method
KW  -  Gradient reproducing kernel particle method
KW  -  Particle area
KW  -  crack
KW  -  Stress intensity factor

DO  - 10.3970/icces.2009.011.099