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Articles

An improvement for coupled EFGM-RPIM method

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Pages 825-832 | Received 03 Dec 2015, Accepted 14 Jun 2016, Published online: 13 Jul 2016

References

  • Amirani, C., and N. Nemati. 2011. “Simulation of Two Dimensional Unilateral Contact Using a Coupled FE/EFG Method.” Engineering Analysis with Boundary Elements 35 (1): 96–104. doi:10.1016/j.enganabound.2010.05.007.
  • Bahmyari, E., M. B. Mohammad, A. Mohammad, and B. Marzieh. 2013. “Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element Free Galerkin Method.” Shock and Vibration 20 (2): 309–326. doi:10.3233/SAV-2012-00746.
  • Belytschko, T., D. Organ, and Y. Krongauz. 1995. “A Coupled Finite Element-element-free Galerkin Method.” Computational Mechanics 17 (3): 186–195. doi:10.1007/BF00364080.
  • Cao, Y., L. Yao, and Y. Yin. 2013. “New Treatment of Essential Boundary Conditions in EFG Method by Coupling with RPIM.” Acta Mechanica Solida Sinica 26 (3): 302–316. doi:10.1016/S0894-9166(13)60028-2.
  • Cheng, R.-J., and H. Ge. 2012. “The Element-free Galerkin Method of Numerically Solving a Regularized Long-wave Equation.” Chinese Physics B 21 (4): 32–37. doi:10.1088/1674-1056/21/4/040203.
  • Duflot, M., and H. Nguyen-Dang. 2002. “A Truly Meshless Galerkin Method Based on a Moving Least Squares Quadrature.” Communications in Numerical Methods in Engineering 18 (6): 441–449. doi:10.1002/cnm.503.
  • Gong, S. G., G.-L. Xie, J. P. Zhang, S. H. Nie, and Y. M. Li. 2009. “Sensitivity Analysis and Shape Optimization Based on FE–EFG Coupled Method.” Research in Engineering Design 20 (2): 117–128. doi:10.1007/s00163-008-0057-y.
  • Gu, Y. T., and G. R. Liu. 2001. “A Coupled Element Free Galerkin/Boundary Element Method for Stress Analysis of Two-dimensional Solids.” Computer Methods in Applied Mechanics and Engineering 190 (34): 4405–4419. doi:10.1016/S0045-7825(00)00324-8.
  • Hajiazizi, M., and P. Bastan. 2014. “The Elastoplastic Analysis of a Tunnel Using the EFG Method: A Comparison of the EFGM with FEM and FDM.” Applied Mathematics and Computation 234: 82–113. doi:10.1016/j.amc.2014.02.024.
  • Jaberzadeh, E., M. Azhari, and B. Boroomand. 2013. “Thermal Buckling of Functionally Graded Skew and Trapezoidal Plates with Different Boundary Conditions Using the Element-free Galerkin Method.” European Journal of Mechanics-A/Solids 42: 18–26. doi:10.1016/j.euromechsol.2013.03.006.
  • Krongauz, Y., and T. Belytschko. 1996. “Enforcement of Essential Boundary Conditions in Meshless Approximations Using Finite Elements.” Computer Methods in Applied Mechanics and Engineering 131 (1–2): 133–145. doi:10.1016/0045-7825(95)00954-X.
  • Lancaster, P., and K. Salkauskas. 1981. “Surfaces Generated by Moving Least Squares Methods.” Mathematics of Computation 37 (155): 141–158. doi:10.1090/S0025-5718-1981-0616367-1.
  • Liu, G. R., and Y. T. Gu. 2001. “A Point Interpolation Method for Two-dimensional Solids.” International Journal for Numerical Methods in Engineering 50 (4): 937–951. doi:10.1002/1097-0207(20010210)50:4<937:AID-NME62>3.0.CO;2-X.
  • Liu, G. R., G. Y. Zhang, Y. T. Gu, and Y. Y. Wang. 2005. “A Meshfree Radial Point Interpolation Method (RPIM) for Three-dimensional Solids.” Computational Mechanics 36 (6): 421–430. doi:10.1007/s00466-005-0657-6.
  • Liu, M. B., and G. R. Liu. 2010. “Smoothed Particle Hydrodynamics (SPH): An Overview and Recent Developments.” Archives of Computational Methods in Engineering 17 (1): 25–76. doi:10.1007/s11831-010-9040-7.
  • Liu, W. K., S. Jun, and Y. F. Zhang. 1995. “Reproducing Kernel Particle Methods.” International Journal for Numerical Methods in Fluids 20 (8–9): 1081–1106. doi:10.1002/fld.1650200824.
  • Lu, Y. Y., T. Belytschko, and M. Tabbara. 1995. “Element-free Galerkin Method for Wave Propagation and Dynamic Fracture.” Computer Methods in Applied Mechanics & Engineering 126 (1–2): 131–153. doi:10.1016/0045-7825(95)00804-A.
  • Mukherjee, Y. X., and S. Mukherjee. 1997. “On Boundary Conditions in the Element-free Galerkin Method.” Computational Mechanics 19 (4): 264–270. doi:10.1007/s004660050175.
  • Pham, X.-T. 2013. “Two-dimensional Rosenthal Moving Heat Source Analysis Using the Meshless Element Free Galerkin Method.” Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology 63 (11): 807–823. doi:10.1080/10407782.2013.757089.
  • Sladek, J., P. Stanak, Z.-D. Han, V. Sladek, and S. N. Atluri. 2013. “Applications of the MLPG Method in Engineering & Sciences: A Review.” Computer Modeling in Engineering & Sciences 92 (5): 423–475. doi:10.3970/cmes.2013.092.423.
  • Wang, X., J. Ouyang, and Z. Feng. 2013. “Local Kronecker Delta Property of the MLS Approximation and Feasibility of Directly Imposing the Essential Boundary Conditions for the EFG Method.” Engineering Analysis with Boundary Elements 37 (7): 1021–1042. doi:10.1016/j.enganabound.2013.03.011.
  • Zhang, Z., K. M. Liewa, and Y. Cheng. 2008. “Coupling of the Improved Element-free Galerkin and Boundary Element Methods for Two-dimensional Elasticity Problems.” Engineering Analysis with Boundary Elements 32 (2): 100–107. doi:10.1016/j.enganabound.2007.06.006.
  • Zhu, T., and S. N. Atluri. 1998. “A Modified Collocation Method and a Penalty Formulation for Enforcing the Essential Boundary Conditions in the Element Free Galerkin Method.” Computational Mechanics 21 (3): 211–222. doi:10.1007/s004660050296.

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