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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.76 No.4
- 발행연도
- 2020.1
- 수록면
- 435 - 449 (15page)
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This work presents the formulation of the isogeometric collocation method to solve the strong form equation of a unified and integrated approach of Reissner Mindlin plate theory (UI-RM). In this plate theory model, the total displacement is expressed in terms of bending and shear displacements. Rotations, curvatures, and shear strains are represented as the first, the second, and the third derivatives of the bending displacement, respectively. The proposed formulation is free from shear locking in the Kirchhoff limit and is equally applicable to thin and thick plates. The displacement field is approximated using the B-splines functions, and the strong form equation of the fourth-order is solved using the collocation approach. The convergence properties and accuracy are demonstrated with square plate problems of thin and thick plates with different boundary conditions. Two approaches are used for convergence tests, e.g., increasing the polynomial degree (NELT = 1×1 with p = 4, 5, 6, 7) and increasing the number of element (NELT = 1×1, 2×2, 3×3, 4×4 with p = 4) with the number of control variable (NCV) is used as a comparable equivalent variable. Compared with DKMQ element of a 64×64 mesh as the reference for all L/h, the problem analysis with isogeometric collocation on UI-RM plate theory exhibits satisfying results.
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참고문헌 (35)
참고문헌 신청
Auricchio, F. / 2010 / Isogeometric collocation methods / Math. Models Methods Appl. Sci 20(11):2075~2107
Bathe, K. J. / 1985 / A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation / Int. J. Num. Meth. Eng 21:367~383
Batoz, J. L. / 1992 / On A Simple Triangular Reissner/Mindlin Plate Element Based on Incompatible Modes and Discrete constraints / Int. J. Num. Meth. Eng 35:1603~1632
Bazilevs, Y. / 2008 / NURBS-based isogeometric analysis for the computation of flows about rotating components / Comput. Mech 43:143~150
de Boor, C. / 2001 / A Practical Guide to Splines / Springer
Bathe, K. J. / 1985 / A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation / Int. J. Num. Meth. Eng 21:367~383
Batoz, J. L. / 1992 / On A Simple Triangular Reissner/Mindlin Plate Element Based on Incompatible Modes and Discrete constraints / Int. J. Num. Meth. Eng 35:1603~1632
Bazilevs, Y. / 2008 / NURBS-based isogeometric analysis for the computation of flows about rotating components / Comput. Mech 43:143~150
de Boor, C. / 2001 / A Practical Guide to Splines / Springer
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