Structural Engineering and Mechanics

  • 제26권6호
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  • Pages.725-739
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A geometrically nonlinear thick plate bending element based on mixed formulation and discrete collocation constraints

  • Abdalla, J.A. (Department of Civil Engineering, American University of Sharjah) ;
  • Ibrahim, A.K. (Department of Civil Engineering, University of Sudan for Science and Technology)
  • 투고 : 2006.10.25
  • 심사 : 2007.03.08
  • 발행 : 2007.08.20
⟨ 이전 논문 다음 논문 ⟩

초록

In recent years there are many plate bending elements that emerged for solving both thin and thick plates. The main features of these elements are that they are based on mix formulation interpolation with discrete collocation constraints. These elements passed the patch test for mix formulation and performed well for linear analysis of thin and thick plates. In this paper a member of this family of elements, namely, the Discrete Reissner-Mindlin (DRM) is further extended and developed to analyze both thin and thick plates with geometric nonlinearity. The Von K$\acute{a}$rm$\acute{a}$n's large displacement plate theory based on Lagrangian coordinate system is used. The Hu-Washizu variational principle is employed to formulate the stiffness matrix of the geometrically Nonlinear Discrete Reissner-Mindlin (NDRM). An iterative-incremental procedure is implemented to solve the nonlinear equations. The element is then tested for plates with simply supported and clamped edges under uniformly distributed transverse loads. The results obtained using the geometrically NDRM element is then compared with the results of available analytical solutions. It has been observed that the NDRM results agreed well with the analytical solutions results. Therefore, it is concluded that the NDRM element is both reliable and efficient in analyzing thin and thick plates with geometric non-linearity.

키워드

참고문헌

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피인용 문헌

  1. Problems with a popular thick plate element and the development of an improved thick plate element vol.29, pp.3, 2007, https://doi.org/10.12989/sem.2008.29.3.327