Structural Engineering and Mechanics

  • 제29권6호
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  • Pages.643-658
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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

Static assessment of quadratic hybrid plane stress element using non-conforming displacement modes and modified shape functions

  • 투고 : 2007.11.21
  • 심사 : 2008.06.09
  • 발행 : 2008.08.20
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we present a quadratic element model based on non-conforming displacement modes and modified shape functions. This new and refined 8-node hybrid stress plane element consists of two additional non-conforming modes that are added to the translational degree of freedom to improve the behavior of a membrane component. Further, the modification of the shape functions through quadratic polynomials in x-y coordinates enables retaining reasonable accuracy even when the element becomes considerably distorted. To establish its accuracy and efficiency, the element is compared with existing elements and - over a wide range of mesh distortions - it is demonstrated to be exceptionally accurate in predicting displacements and stresses.

키워드

참고문헌

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피인용 문헌

  1. A Prange–Hellinger–Reissner type finite element formulation for small strain elasto-plasticity vol.317, 2017, https://doi.org/10.1016/j.cma.2016.12.005
  2. A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions vol.110, pp.6, 2017, https://doi.org/10.1002/nme.5430
  3. Two Triangular Membrane Elements Based on Strain vol.11, pp.1, 2008, https://doi.org/10.1142/s1758825119500108
  4. An extension of assumed stress finite elements to a general hyperelastic framework vol.6, pp.None, 2019, https://doi.org/10.1186/s40323-019-0133-z