Structural Engineering and Mechanics

  • 제78권6호
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  • Pages.665-679
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  • 2021
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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

An improved incompatible DSQ element using free formulation approach

  • Katili, Irwan (Civil Engineering Department, Universitas Indonesia)
  • 투고 : 2020.12.07
  • 심사 : 2021.04.01
  • 발행 : 2021.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

A formulation of a quadratic incompatible quadrilateral element, called DSQK, using a combination of free formulation approach, independent transverse shear strains, and discrete shear constraints, is described in this paper. This new element, which includes transverse shear effects and is valid for thin and thick plates, has 4 nodes and 3 DOFs per node (transverse displacement w and rotations βx and βy at the corner nodes). The couple between lower order and higher order bending energy is assumed to be zero in the DSQK element to fulfill the constant bending patch test. The independent transverse shear strain is expressed only by second derivatives of the rotations obtained from a unified and integrated kinematic relationship, constitutive law, and equilibrium equations. The validation based on individual element tests, patch tests, and convergence tests deliver good results for thin to thick plates of various geometries.

키워드

과제정보

The financial support from the Indonesian Ministry of Research and Technology (RISTEK-BRIN) through the PDUPT program (NKB-246/UN2.RST/HKP.05.00/2020) is gratefully acknowledged.

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