Journal of Advanced Marine Engineering and Technology

  • 제34권7호
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  • Pages.943-950
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  • 2010
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  • 2234-7925(pISSN)
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  • 2234-8352(eISSN)
한국마린엔지니어링학회 (The Korean Society of Marine Engineering)
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Efficient Meshfree Analysis Using Stabilized Conforming Nodal Integration for Metal Forming Simulation

  • Han, Kyu-Taek (Department of Mechanical Engineering, Pukyong National University)
  • 투고 : 2010.08.17
  • 심사 : 2010.10.12
  • 발행 : 2010.11.30
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초록

An efficient meshfree method based on a stabilized conforming nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in Galerkin meshfree methods when the weak form is integrated by a nodal integration. The gradient matrix associated with strain smoothing satisfies the integration constraint for linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for path-dependent problems are introduced. Applications of metal forming analysis are presented, from which the computational efficiency has been improved significantly without loss of accuracy.

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참고문헌

  1. S. Yoon, Y. You, "A stabilized conforming nodal integration for Galerkin meshfree methods", Int. J. Numer. Meth. Eng., vol.50, pp. 435-466, 2001. https://doi.org/10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A
  2. J. Dolbow, T. Belytschko, "Numerical integration of Galerkin weak form in meshfree methods", Comput. Mech., vol.23, pp. 219-230, 1999. https://doi.org/10.1007/s004660050403
  3. T. Belytschko, Y.Y. Lu, L. Gu, "Element-free Galerkin methods", Int. J. Numer. Meth. Eng., vol.37, pp. 229-256, 1994. https://doi.org/10.1002/nme.1620370205
  4. S. Beissel, T. Belytschko, "Nodal integration of the element-free Galerkin method", Comput. Methods Appl. Mech. Eng., vol. 139, pp. 49-74, 1996. https://doi.org/10.1016/S0045-7825(96)01079-1
  5. T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, W.K. Liu, " Smoothing and accelerated computations in the element-free Galerkin method", J. Comput. Appl. Math., vol. 74, pp. 111-126, 1996. https://doi.org/10.1016/0377-0427(96)00020-9
  6. C. Pan, C.M.O.L. Roque, H.P. Wang, "A Lagrangian reproducing kernel particle method for metal forming analysis", Comput. Mech., vol.22, pp. 289-307, 1998. https://doi.org/10.1007/s004660050361
  7. W.K. Liu, S. Jun, Y.F. Zhang, "Reproducing kernel particle methods", Int. J. Numer. Meth. Fluids, vol.20, pp. 1081-1106, 1995. https://doi.org/10.1002/fld.1650200824
  8. C.A.M. Duarte, J.T. Oden, "A h–p adaptive method using clouds", Comput. Methods Appl. Mech. Eng., vol.139, pp. 237-262, 1996. https://doi.org/10.1016/S0045-7825(96)01085-7
  9. G.R. Liu, Z.H. Tu, " An adaptive procedure based on background cells for meshless methods", Comput. Meth. Appl. Mech. Eng. vol.191, pp. 1923-1943, 2002. https://doi.org/10.1016/S0045-7825(01)00360-7
  10. D. Wang, J.S. Chen, "Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation", Comput. Meth. Appl. Mech. Eng., vol.193, pp. 1065-1083, 2004. https://doi.org/10.1016/j.cma.2003.12.006