지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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.65 No.5
- 발행연도
- 2018.1
- 수록면
- 573 - 585 (13page)
이용수
초록· 키워드
오류제보하기
This article presents strain gradient elasticity-based procedures for static bending, free vibration and buckling analyses of functionally graded rectangular micro-plates. The developed method allows consideration of smooth spatial variations of length scale parameters of strain gradient elasticity. Governing partial differential equations and boundary conditions are derived by following the variational approach and applying Hamilton’s principle. Displacement field is expressed in a unified way to produce numerical results in accordance with Kirchhoff, Mindlin, and third order shear deformation theories. All material properties, including the length scale parameters, are assumed to be functions of the plate thickness coordinate in the derivations. Developed equations are solved numerically by means of differential quadrature method. Proposed procedures are verified through comparisons made to the results available in the literature for certain limiting cases. Further numerical results are provided to illustrate the effects of material and geometric parameters on bending, free vibrations, and buckling. The results generated by Kirchhoff and third order shear deformation theories are in very good agreement, whereas Mindlin plate theory slightly overestimates static deflection and underestimates natural frequency. A rise in the length scale parameter ratio, which identifies the degree of spatial variations, leads to a drop in dimensionless maximum deflection, and increases in dimensionless vibration frequency and buckling load. Size effect is shown to play a more significant role as the plate thickness becomes smaller compared to the length scale parameter. Numerical results indicate that consideration of length scale parameter variation is required for accurate modelling of graded rectangular micro-plates.
목차
등록된 정보가 없습니다.
참고문헌 (57)
참고문헌 신청
Aghazadeh, R. / 2014 / Static and free vibration analyses of small-scale functionally graded beams possessing a variable length scale parameter using different beam theories / Eur. J. Mech. A. Sol. 46:1~11
Aifantis, E.C. / 1999 / Strain gradient interpretation of size effects / J. Fract. 95(1-4):299~314
Akgoz, B. / 2013 / Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory / Meccan. 48(4):863~873
Akgoz, B. / 2015 / A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory / Acta Mech. 226(7):2277~2294
Alipour Ghassabi, A. / 2017 / Free vibration analysis of functionally graded rectangular nano-plates considering spatial variation of the nonlocal parameter / Arch. Mech. 69(2):105~103
Aifantis, E.C. / 1999 / Strain gradient interpretation of size effects / J. Fract. 95(1-4):299~314
Akgoz, B. / 2013 / Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory / Meccan. 48(4):863~873
Akgoz, B. / 2015 / A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory / Acta Mech. 226(7):2277~2294
Alipour Ghassabi, A. / 2017 / Free vibration analysis of functionally graded rectangular nano-plates considering spatial variation of the nonlocal parameter / Arch. Mech. 69(2):105~103
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Modelling of graded rectangular micro-plates with variable length scale parameters
Structural engineering and mechanics : An international journal
2018 .01
-
A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate
Steel and Composite Structures, An International Journal
2018 .01
-
Forced vibrations of an elastic rectangular plate supported by a unilateral two-parameter foundation via the Chebyshev polynomials expansion
Structural Engineering and Mechanics, An Int＇l Journal
2024 .06
-
Bending analysis of functionally graded thick plates with in-plane stiffness variation
Structural engineering and mechanics : An international journal
2018 .01
-
A new hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D)
Smart Structures and Systems, An International Journal
2022 .03
-
Free vibration analysis of a three-layered microbeam based on strain gradient theory and three-unknown shear and normal deformation theory
Steel and Composite Structures, An International Journal
2018 .01
-
An analytical approach for buckling of functionally graded plates
Advances in materials research : AMR
2016 .01
-
Bending analysis of FGM plates using a sinusoidal shear deformation theory
Wind & structures
2016 .01
-
A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate
Structural Engineering and Mechanics, An Int＇l Journal
2016 .01
-
A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate
Structural engineering and mechanics : An international journal
2016 .01
-
Analysis of functionally graded plates using a sinusoidal shear deformation theory
Smart Structures and Systems, An International Journal
2017 .01
-
Buckling Analysis of Rectangular Plates using an Enhanced 9-node Element
ARCHITECTURAL RESEARCH
2016 .09
-
An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates
Steel and Composite Structures, An International Journal
2017 .01
-
Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory
Advances in aircraft and spacecraft science
2018 .01
-
An original four-variable quasi-3D shear deformation theory for the static and free vibration analysis of new type of sandwich plates with both FG face sheets and FGM hard core
Steel and Composite Structures, An International Journal
2021 .10
-
A simple analytical model for free vibration and buckling analysis of orthotropic rectangular plates
Structural Engineering and Mechanics, An Int＇l Journal
2020 .01
-
A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation
Geomechanics & engineering
2017 .01
-
Application of hyperbolic shear deformation theory to free vibration analysis of functionally graded porous plate with piezoelectric face-sheets
Structural Engineering and Mechanics, An Int＇l Journal
2019 .01
-
Analysis of laminated composite plates based on different shear deformation plate theories
Structural Engineering and Mechanics, An Int＇l Journal
2020 .01
-
Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter
Steel and Composite Structures, An International Journal
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0