@Article{icces.2009.011.099,
AUTHOR = {Mani  Khezri, Alireza  Hashemian, Hossein M.  Shodja},
TITLE = {Analysis of a crack problem via RKPM and GRKPM and a note on particle volume},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {11},
YEAR = {2009},
NUMBER = {4},
PAGES = {99--108},
URL = {http://www.techscience.com/icces/v11n4/32393},
ISSN = {1933-2815},
ABSTRACT = {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.},
DOI = {10.3970/icces.2009.011.099}
}