Structural Engineering and Mechanics

  • 제11권5호
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  • Pages.535-546
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  • 2001
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Dof splitting p-adaptive meshless method

  • 발행 : 2001.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

A new p-adaptive analysis scheme for hp-clouds method is presented. In the scheme, refined global equations are resolved into two parts, one of them being related to the newly appended dof's. The solution obtained in previous analysis step is reflected in the force vector. The size of the p-adaptive equation consisting of the newly appended dof's is much smaller than the original equation. Consequently, the computational cost is drastically decreased. Through numerical examples, the efficiency and efficacy of the method in comparison with the existing p-refinement scheme of the hp-clouds have been demonstrated.

키워드

참고문헌

  1. Belytschko, T., LU, Y.Y., and Gu, L. (1994), "Element-free Galerkin methods", Int. J. Numer. Meth. Eng., 37, 229-256. https://doi.org/10.1002/nme.1620370205
  2. Chung, H.-J., and Belytschko, T. (1998), "An error estimate in the EFG method", Computational Mechanics, 21, 91-100. https://doi.org/10.1007/s004660050286
  3. Duarte, C.A.M., and Oden, J.T. (1995), "Hp clouds - A meshless method to solve boundary-value problems", Technical Rep. 95-05, TICAM, The University of Texas at Austin.
  4. Harlow, F.H. (1964), "The particle-in-cell computing method for fluid dynamics", Methods for Computational Physics, 3, 319-343.
  5. Kang, M.-S., and Youn, S.-K. (2001), "Kinematically admissible meshless approximation using modified weight function", Int. J. Numer. Meth. Eng., 50, 1993-2006. https://doi.org/10.1002/nme.109
  6. Krongauz, Y., and Belytschko, T. (1996), "Enforcement of essential boundary conditions in meshless approximations using finite elements", Comput. Meth. in Appl. Mech. and Eng., 131, 133-145. https://doi.org/10.1016/0045-7825(95)00954-X
  7. Liu, W.K., Hao, W., Chen, Y., and Jun, S. (1997), "Multiresolution reproducing kernel particle methods", Computational Mechanics, 20, 295-309. https://doi.org/10.1007/s004660050252
  8. Lu, Y.Y., Belytschko, T., and Gu, L. (1994), "A new implementation of the element free Galerkin method", Comput. Meth. in Appl. Mech. and Eng., 113, 394-414.
  9. Lucy, L.B. (1997), "A numerical approach to the testing of the fission hypothesis", The Astronomical J., 82(12), 1013-1024.
  10. Nayroles, B. Touzot, G., and Villon, P. (1992), "Generalizing the finite element method: diffuse approximation and diffuse elements", Computational Mechanics, 10, 307-318. https://doi.org/10.1007/BF00364252
  11. Timoshenko, S.P., and Goodier, J.N. (1970), Theory of Elasticity, 3rd edn., McGraw Hill, New York.

피인용 문헌

  1. An automatic adaptive refinement procedure for the reproducing kernel particle method. Part II: Adaptive refinement vol.40, pp.3, 2007, https://doi.org/10.1007/s00466-006-0113-2