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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.21 No.1
- 발행연도
- 2018.1
- 수록면
- 77 - 81 (5page)
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초록· 키워드
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This paper gives us an insight into the usefulness of the proposed method in Finite Element Analysis (FEM) for solving an el- liptic Partial Di erential Equation (PDE) over circular domain. We are using quadratic and cubic order curved triangular elements to solve the problem of stress concentration on a circular plate, which is governed by Poisson's equation. The proposed FEM solution matches very well with the exact solution. This shows the e ciency and effectiveness of the method in various mechanical applications.
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참고문헌 (12)
참고문헌 신청
I. Ergatoudis / 1968 / Curved Isoparametric Quadrilateral Finite Element Analysis / Int. J. Solids Struct. 4:31~42
R.J.Y. McLeod / 1975 / The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method / J. Inst. Math. Appl. 16:239~246
H. T. Rathod / 2000 / Synthetic Division Based Integration of Rational Functions of Bivariate Polynomial Numerators with Linear Denominators over a Unit Triangle $0{\leq}{\xi},{\eta}{\leq}1,{\xi}+{\eta}{\leq}1$ in the Local Parametric Space (${\xi},{\eta}$ ) / Comput. Meth. Appl. Mech. Eng. 181:191~235
H. T. Rathod / 2002 / An Explicit Integration Scheme Based on Recursion for the Curved Triangular Finite Elements / Comput. Struct. 80:43~76
H. T. Rathod / 2008 / These of Parabolic Arcs in Matching Curved Boundaries by Point Transformations for some Higher Order Triangular Elements / Fin. Elem. Anal. Des. 44:920~932
R.J.Y. McLeod / 1975 / The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method / J. Inst. Math. Appl. 16:239~246
H. T. Rathod / 2000 / Synthetic Division Based Integration of Rational Functions of Bivariate Polynomial Numerators with Linear Denominators over a Unit Triangle
H. T. Rathod / 2002 / An Explicit Integration Scheme Based on Recursion for the Curved Triangular Finite Elements / Comput. Struct. 80:43~76
H. T. Rathod / 2008 / These of Parabolic Arcs in Matching Curved Boundaries by Point Transformations for some Higher Order Triangular Elements / Fin. Elem. Anal. Des. 44:920~932
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