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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.39 No.5
- 발행연도
- 2021.1
- 수록면
- 493 - 509 (17page)
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초록· 키워드
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There is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gâteaux differential derivative operator. Thanks to the Gâteaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.
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참고문헌 (110)
참고문헌 신청
Hadj Henni Abdelaziz / 2017 / An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions / Steel and Composite Structures, An International Journal 25(6):693~704
Şeref Doğuşcan Akbaş / 2018 / Forced vibration analysis of functionally graded porous deep beams / Composite Structures 186:293~302
A.Y. Aköz / 1996 / The mixed finite element solution of circular beam on elastic foundation / Computers & Structures 60(4):643~651
A.Y. Aköz / 1991 / The mixed finite element formulation for three-dimensional bars / International Journal of Solids and Structures 28(2):225~234
Aköz, A. / 2000 / A functional for shells of arbitrary geometry and a mixed finite element method for parabolic and circular cylindrical shells / International Journal for Numerical Methods in Engineering 47(12):1933~1981
Şeref Doğuşcan Akbaş / 2018 / Forced vibration analysis of functionally graded porous deep beams / Composite Structures 186:293~302
A.Y. Aköz / 1996 / The mixed finite element solution of circular beam on elastic foundation / Computers & Structures 60(4):643~651
A.Y. Aköz / 1991 / The mixed finite element formulation for three-dimensional bars / International Journal of Solids and Structures 28(2):225~234
Aköz, A. / 2000 / A functional for shells of arbitrary geometry and a mixed finite element method for parabolic and circular cylindrical shells / International Journal for Numerical Methods in Engineering 47(12):1933~1981
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