Structural Engineering and Mechanics

  • 제29권2호
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  • Pages.203-221
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Geometry-dependent MITC method for a 2-node iso-beam element

  • 투고 : 2007.04.24
  • 심사 : 2008.03.04
  • 발행 : 2008.05.30
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we present an idea of the geometry-dependent MITC method. The simple concept is exemplified to improve a 2-node iso-beam (isoparametric beam) finite element of varying section. We first study the behavior of a standard 2-node iso-beam finite element of prismatic section, which has been widely used with reduced integration (or the equivalent MITC method) in order to avoid shear locking. Based on analytical studies on cantilever beams of varying section, we propose the axial strain correction (ASC) scheme and the geometry-dependent tying (GDT) scheme for the 2-node iso-beam element. We numerically analyze varying section beam problems and present the improved performance by using both ASC and GDT schemes.

키워드

참고문헌

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  4. Bucalem, M. and Bathe, K.J. (1993), "Higher-order MITC general shell elements", Int. J. Numer. Meth. Eng., 36, 3729-3754 https://doi.org/10.1002/nme.1620362109
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  6. Choi, C.K., Lee, P.S. and Park, Y.M. (1999), "Defect-free 4-node flat shell element: NMS-4F element", Struct. Eng. Mech., 8(2), 207-231 https://doi.org/10.12989/sem.1999.8.2.207
  7. Dvorkin, E.N. and Bathe, K.J. (1984), "A continuum mechanics based four-node shell element for general nonlinear analysis", Eng. Comput., 1, 77-88 https://doi.org/10.1108/eb023562
  8. Hong, H.S., Kim, K.H. and Choi, C.K. (2004), "Assumed strain finite strip method using the non-periodic Bspline", Struct. Eng. Mech., 18(5), 671-690 https://doi.org/10.12989/sem.2004.18.5.671
  9. Lee, P.S. and Bathe, K.J. (2002), "On the asymptotic behavior of shell structures and the evaluation in finite element solutions", Comput. Struct., 80, 235-255 https://doi.org/10.1016/S0045-7949(02)00009-3
  10. Lee, P.S. and Bathe, K.J. (2004), "Development of MITC isotropic triangular shell finite elements", Comput. Struct., 82, 945-962 https://doi.org/10.1016/j.compstruc.2004.02.004
  11. Lee, P.S. and McClure, G. (2006), "A general three-dimensional L-section beam finite element for elastoplastic large deformation analysis", Comput. Struct., 84, 215-229 https://doi.org/10.1016/j.compstruc.2005.09.013

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  2. Extension of MITC to higher-order beam models and shear locking analysis for compact, thin-walled, and composite structures vol.112, pp.13, 2017, https://doi.org/10.1002/nme.5588
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  8. New higher-order triangular shell finite elements based on the partition of unity vol.73, pp.1, 2008, https://doi.org/10.12989/sem.2020.73.1.001
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