Finite Element Analysis of Plate Bending Problems Using Transition Plate Elements

Abstract:

In this work, four different transition plate elements are derived and used for the finite element analysing of plate bending problems. The Mindlin plate theory is used in the element formulations. So the transverse shear is also included in the solutions. The coefficients of trial functions are selected from the Pascal triangle using a practical rule. An existing finite element program is improved by adding new type transition plate elements. All Fortran IV codes are changed to Fortran 95 codes in the existing program. To verify the developed elements, a cantilever plate and plate bending problems are solved. Their results are compared with ANSYS results.

• Periodical: Advanced Materials Research (Volumes 6-8)
• Pages: 713-720
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.6-8.713
• Online since: May 2005
• Authors: B. Kanber, O.Y. Bozkurt
• Keywords: Bending, Finite Element Model (FEM), Plate Transition Elements

References

[1] D.R.J. Owen and E. Hinton: Finite Elements in Plasticity. (Pineridge Press Limited, Swansea, U.K. 1980).

[2] C.K. Choi and Y.M. Park: Conforming and nonconforming transition plate bending elements for an adaptive h-refinement, Thin-Walled Structures Vol. 28 (1997), p.1.

DOI: 10.1016/s0263-8231(97)00007-4

[3] T.A. Ozkul and U. Ture: The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem. Thin-Walled Structures Vol. 42 (2004), p.1405.

DOI: 10.1016/j.tws.2004.05.003

[4] M.M. Hrabok and T.M. Hrudey: A review and catalogue of plate bending finite elements. Computers and Structures, Vol. 19 (1984), p.479.

DOI: 10.1016/0045-7949(84)90055-5

[5] C. Jeyachandrabose and J. Kirkhope: An alternative explicit formulation for the DKT plate bending element. International Journal for Numerical Methods in Engineering Vol. 21 (1985), p.1289.

DOI: 10.1002/nme.1620210709

[6] J.L. Meek, H.S. Tan: A Discrete Kirchhoff plate bending element with loof nodes. Computers and Structures Vol. 21 (1985), p.1197.

DOI: 10.1016/0045-7949(85)90175-0

[7] C. Jeyachandrabose, J. Kirkhope and L. Meckisho: An improved discrete Kirchhoff quadrilateral thin plate bending element. International Journal for Numerical Methods in Engineering Vol. 24 (1987), p.635.

DOI: 10.1002/nme.1620240312

[8] J.L. Batoz, C.L. Zheng and F. Hammadi: Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements. International Journal for Numerical Methods in Engineering Vol. 52 (2001), p.615.

DOI: 10.1002/nme.295

[9] I.H. Güzelbey, B. Kanber: A Practical Rule for the Derivation of Transition Finite Element, International Journal for Numerical Methods in Engineering, Vol. 47 (2000), p.1029.

[10] B. Kanber: Finite element analysis of contact problems using transition elements, (MSc Thesis, University of Gaziantep, Turkey 1997).