Open Access
Mechanics & Industry
Volume 17, Number 2, 2016
Article Number 210
Number of page(s) 11
Published online 08 February 2016
  1. T. Belytschko, Y.Y. Lu, L. Gu, Element free Galerkin methods, Int. J. Numer. Meth. Eng. 37 (1994) 229–256 [CrossRef] [MathSciNet] [Google Scholar]
  2. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl, Meshless methods: an overview and recent developments, Comput. Methods Appl. Mech. Eng. 139 (1996) 3–47 [CrossRef] [Google Scholar]
  3. R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics-theory and application to non-spherical stars, Mon. Not. R Astron. Soc. 181 (1977) 375–389 [NASA ADS] [CrossRef] [Google Scholar]
  4. W.K. Liu, S. Jun, Y.F. Zhang, Reproducing kernel particle methods, Int. J. Numer. Meth. Fl 20 (1995) 1081–1106 [CrossRef] [MathSciNet] [Google Scholar]
  5. S. Atluri, T. Zhu, A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics, Comput. Mech. 22 (1998) 117–127 [CrossRef] [Google Scholar]
  6. S. Atluri, T.L. Zhu, The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics, Comput. Mech. 25 (2000) 169–179 [CrossRef] [Google Scholar]
  7. H. Lin, S. Atluri, Meshless local Petrov-Galerkin (MLPG) method for convection diffusion problems, Comput. Model. Eng. Sci. 1 (2000) 45–60 [Google Scholar]
  8. T.J. Liszka, C.A.M0 Duarte, W.W. Tworzydlo, Hp-Meshless cloud method, Comput. Methods Appl. Mech. Eng. 139 (1996) 263–288 [CrossRef] [Google Scholar]
  9. E. Onate, F. Perazzo, J. Miquel, A finite point method for elasticity problems, Comput. Struct. 79 (2001) 2151–2163 [CrossRef] [Google Scholar]
  10. H. Arzani, M.H. Afshar, Solving Poisson’s equations by the discrete least square meshless method, WIT Trans. Model. Simul. 42 (2006) 23–31 [CrossRef] [Google Scholar]
  11. P. Krysl, T. Belytschko, Element free Galerkin method: convergence of the continuous and discontinuous shape functions, Comput. Methods Appl. Mech. Eng. 148 (1997) 257–277 [CrossRef] [Google Scholar]
  12. H. Zhang, Simulation of crack growth using cohesive crack method, Appl. Math. Modell. 34 (2010) 2508– 2519 [CrossRef] [Google Scholar]
  13. D. Organ, M. Fleming, T. Terry, T. Belytschko, Continuous meshless approximation for non convex bodies by diffraction and transparency, Comput. Mech. 18 (1996) 225–235 [CrossRef] [Google Scholar]
  14. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, W.K. Liu, Smoothing and accelerated computations in the element free Galerkin method, J. Comput. Appl. Math. 74 (1996) 111–126 [CrossRef] [Google Scholar]
  15. H. Pirali, F. Djavanroodi, M. Haghpanahi, Combined visibility and surrounding triangles method for simulation of crack discontinuities in meshless methods, J. Appl. Math. DOI: 10.1155/2012/715613 [Google Scholar]
  16. S.A. Sadrnejad, M. Labibzadeh, A Continuum/ Discontinuum Micro Plane Damage Model for Concrete, Int. J. Civil Eng. 4 (2006) 296–313 [Google Scholar]
  17. M. Naisipour, M.H. Afshar, B. Hassani, A.R. Firoozjaee, Collocation discrete least square (CDLS) method for elasticity problems, Int. J. Civil. Eng. 7 (2009) 9–18 [Google Scholar]
  18. J. Amani, M.H. Afshar, M. Naisipour, Mixed Discrete Least Squares Meshless method for planar elasticity problems using regular and irregular nodal distributions, Eng. Anal. Bound. Elem. 36 (2012) 894–902 [CrossRef] [Google Scholar]
  19. M.H. Afshar, J. Amani, M. Naisipour, A node enrichment adaptive refinement by Discrete Least Squares Meshless method for solution of elasticity problems, Eng. Anal. Bound. Elem. 36 (2012) 385–393 [CrossRef] [Google Scholar]
  20. M.H. Afshar, M. Naisipour, J. Amani, Node moving adaptive refinement strategy for planar elasticity problems using Discrete Least Squares Meshless method, Finite Elem. Anal. Des. 47 (2011) 1315–1325 [CrossRef] [Google Scholar]
  21. M. Fleming, Element-Free Galerkin method for fatigue and quasi-static fracture, Ph.D. thesis, North-Western University, 1997 [Google Scholar]
  22. F. Aurenhammer, B. Su, Y.F. Xu, B. Zhu, A note on visibility-constrained Voronoi diagrams, Discrete Applied Mathematics, 174 (2014) 52–56 [CrossRef] [MathSciNet] [Google Scholar]
  23. K.T. Danielson, S. Hao, W.K. Liu, R.A. Uras, S. Li, Parallel computation of meshless methods for explicit dynamic analysis, Int. J. Numer. Methods Eng. 47 (2000) 1323–1341 [CrossRef] [Google Scholar]
  24. J. Rethore, S. Roux, F. Hild, Mixed-mode crack propagation using a hybrid analytical and extended finite element method, Comptes Rendus Mécanique 338 (2010) 121–126 [CrossRef] [Google Scholar]

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