Structural Engineering and Mechanics

  • 제13권5호
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  • Pages.491-504
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  • 2002
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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A 2D hybrid stress element for improved prediction of the out-of-plane fields using Fourier expansion

  • Feng, M.L. (Faculty of Engineering and Physical System, Central Queensland University) ;
  • Dhanasekar, M. (Faculty of Engineering and Physical System, Central Queensland University) ;
  • Xiao, Q.Z. (Department of Modern Mechanics, University of Science and Technology of China)
  • 발행 : 2002.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

Recently we formulated a 2D hybrid stress element from the 3D Hellinger-Reissner principle for the analysis of thick bodies that are symmetric to the thickness direction. Polynomials have typically been used for all the displacement and stress fields. Although the element predicted the dominant stress and all displacement fields accurately, its prediction of the out-of-plane shear stresses was affected by the very high order terms used in the polynomials. This paper describes an improved formulation of the 2D element using Fourier series expansion for the out-of-plane displacement and stress fields. Numerical results illustrate that its predictions have markedly improved.

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참고문헌

  1. Dhanasekar M. and Xiao Q.Z. (2001), "Plane hybrid stress element method for 3D hollow bodies of uniformthickness", Computers and Structures, 79, 483-497. https://doi.org/10.1016/S0045-7949(00)00152-8
  2. Pian T.H.H. and Wu C.C. (1988), "A rational approach for choosing stress terms for hybrid finite element formulations", Int. J. Numer. Meth. Engng., 26, 2331-2343. https://doi.org/10.1002/nme.1620261014
  3. Pian T.H.H. and Sumihara K. (1984), "Rational approach for assumed stress finite elements", Int. J. Numer.Meth. Engng., 20, 1685-1695. https://doi.org/10.1002/nme.1620200911
  4. Timoshenko S.P. and Goodier J.N. (1970), Theory of Elasticity, 3rd. McGraw-Hill.
  5. Wu C.C. and Bufler H. (1991), "Multivariable finite elements: consistency and optimization", Science inChina(A) 34, 284-299.
  6. Wu C.C. and Cheung Y.K. (1995), "On optimisation approaches of hybrid stress elements", Finite ElementsAnal. Des., 21, 111-128. https://doi.org/10.1016/0168-874X(95)00023-0
  7. Wu C.C. and Pian T.H.H. (1977), Numerical Analysis Method of Incompatible and Hybrid Elements (inChinese), China Science Press.
  8. Xiao Q.Z. and Dhanasekar M. "Plane hybrid stress element for 3D problems", Proc. of the 5th Int. Conf. onComputational Structures Technology, Leuven, Belgium, Sep 2000; Finite Elements Techniques andDevelopment-edited by Topping B.H.V.; Civil-Comp Press; 147-158.
  9. Ye Z.M. (1997), "A new finite element formulation for planar elastic deformation", Int. J. Numer. Meth. Eng.,40, 2579-2591. https://doi.org/10.1002/(SICI)1097-0207(19970730)40:14<2579::AID-NME174>3.0.CO;2-A