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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.67 No.4
- 발행연도
- 2018.1
- 수록면
- 417 - 425 (9page)
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The main aim of this paper is to investigate the bending of Euler-Bernouilli nano-beams made of bi-directional functionally graded materials (BDFGMs) using Eringen‟s non-local elasticity theory in the integral form with compare the differential form. To the best of the researchers‟ knowledge, in the literature, there is no study carried out into integral form of Eringen‟s non-local elasticity theory for bending analysis of BDFGM Euler-Bernoulli nano-beams with arbitrary functions. Material properties of nano-beam are assumed to change along the thickness and length directions according to arbitrary function. The approximate analytical solutions to the bending analysis of the BDFG nano-beam are derived by using the Rayleigh-Ritz method. The differential form of Eringen‟s non-local elasticity theory reveals with increasing size effect parameter, the flexibility of the nano-beam decreases, that this is unreasonable. This problem has been resolved in the integral form of the Eringen‟s model. For all boundary conditions, it is clearly seen that the integral form of Eringen‟s model predicts the softening effect of the non-local parameter as expected. Finally, the effects of changes of some important parameters such as material length scale, BDFG index on the values of deflection of nano-beam are studied.
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참고문헌 (110)
참고문헌 신청
Abdollahi, R. / 2013 / Benchmarks in nonlocal elasticity defined by Eringen's integral model / Int. J. Solid. Struct. 50(18):2758~2771
Afshin, A. / 2017 / Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions / J. Comput. Appl. Mech. 48(1):15~26
Anjomshoa, A. / 2014 / Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory / Appl. Math. Model. 38(24):5934~5955
Ansari, R. / 2015 / Size-dependent nonlinear forced vibration analysis of magneto-electro-thermoelastic Timoshenko nanobeams based upon the nonlocal elasticity theory / Compos. Struct. 126:216~226
Ansari, R. / 2015 / Free vibration of fractional viscoelastic Timoshenko nanobeams using the nonlocal elasticity theory / Physica E 74:318~327
Afshin, A. / 2017 / Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions / J. Comput. Appl. Mech. 48(1):15~26
Anjomshoa, A. / 2014 / Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory / Appl. Math. Model. 38(24):5934~5955
Ansari, R. / 2015 / Size-dependent nonlinear forced vibration analysis of magneto-electro-thermoelastic Timoshenko nanobeams based upon the nonlocal elasticity theory / Compos. Struct. 126:216~226
Ansari, R. / 2015 / Free vibration of fractional viscoelastic Timoshenko nanobeams using the nonlocal elasticity theory / Physica E 74:318~327
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