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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.27 No.2
- 발행연도
- 2018.1
- 수록면
- 201 - 216 (16page)
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초록· 키워드
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In this paper, three-dimensional (3D) elasticity theory in conjunction with nonlocal strain gradient theory (NSGT) is developed for mechanical analysis of anisotropic nanoparticles. The present model incorporates two scale coefficients to examine the mechanical characteristics much accurately. All the elastic constants are considered and assumed to be the functions of (<i>r</i>, <i>θ</i>, <i>φ</i>), so all kind of anisotropic structures can be modeled. Moreover, all types of functionally graded spherical structures can be investigated. To justify our model, our results for the radial vibration of spherical nanoparticles are compared with experimental results available in the literature and great agreement is achieved. Next, several examples of the radial vibration and wave propagation in spherical nanoparticles including nonlocal strain gradient parameters are presented for more than 10 different anisotropic nanoparticles. From the best knowledge of authors, it is the first time that 3D elasticity theory and NSGT are used together with no approximation to derive the governing equations in the spherical coordinate. Moreover, up to now, the NSGT has not been used for spherical anisotropic nanoparticles. It is also the first time that all the 36 elastic constants as functions of (<i>r</i>, <i>θ</i>, <i>φ</i>) are considered for anisotropic and functionally graded nanostructures including size effects. According to the lack of any common approximations in the displacement field or in elastic constant, present theory can be assumed as a benchmark for future works.
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참고문헌 (66)
참고문헌 신청
Aifantis, E.C. / 1999 / Strain gradient interpretation of size effects / Int. J. Fract. 95(1-4):299
Askes, H. / 2009 / Gradient elasticity and flexural wave dispersion in carbon nanotubes / Phys. Rev. B 80(19):195412
Askes, H. / 2011 / Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results / Int. J. Solids Struct. 48(13):1962~1990
Süleyman M. Bağdatlı / 2015 / Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory / Structural Engineering and Mechanics, An Int＇l Journal 55(2):281~298
Benahmed, A. / 2017 / A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation / Geomech. Eng., Int. J. 12(1):9~34
Askes, H. / 2009 / Gradient elasticity and flexural wave dispersion in carbon nanotubes / Phys. Rev. B 80(19):195412
Askes, H. / 2011 / Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results / Int. J. Solids Struct. 48(13):1962~1990
Süleyman M. Bağdatlı / 2015 / Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory / Structural Engineering and Mechanics, An Int＇l Journal 55(2):281~298
Benahmed, A. / 2017 / A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation / Geomech. Eng., Int. J. 12(1):9~34
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