Advances in nano research

  • 제15권4호
  • /
  • Pages.339-353
  • /
  • 2023
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  • 2287-237X(pISSN)
  • /
  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Buckling analysis of perforated nano/microbeams with deformable boundary conditions via nonlocal strain gradient elasticity

  • Ugur Kafkas (Faculty of Civil Engineering, Kutahya Dumlupinar University) ;
  • Yunus Unal (Faculty of Civil Engineering, Bursa Uludag University) ;
  • M. Ozgur Yayli (Faculty of Civil Engineering, Bursa Uludag University) ;
  • Busra Uzun (Faculty of Civil Engineering, Bursa Uludag University)
  • 투고 : 2022.11.28
  • 심사 : 2023.07.19
  • 발행 : 2023.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

This work aims to present a solution for the buckling behavior of perforated nano/microbeams with deformable boundary conditions using nonlocal strain gradient theory (NLSGT). For the first time, a solution that can provide buckling loads based on the non-local and strain gradient effects of perforated nanostructures on an elastic foundation, while taking into account both deformable and rigid boundary conditions. Stokes' transformation and Fourier series are used to realize this aim and determine the buckling loads under various boundary conditions. We employ the NLSGT to account for size-dependent effects and utilize the Winkler model to formulate the elastic foundation. The buckling behavior of the perforated nano/microbeams restrained with lateral springs at both ends is studied for various parameters such as the number of holes, the length and filling ratio of the perforated beam, the internal length, the nonlocal parameter and the dimensionless foundation parameter. Our results indicate that the number of holes and filling ratio significantly affect the buckling response of perforated nano/microbeams. Increasing the filling ratio increases buckling loads, while increasing the number of holes decreases buckling loads. The effects of the non-local and internal length parameters on the buckling behavior of the perforated nano/microbeams are also discussed. These material length parameters have opposite effects on the variation of buckling loads. This study presents an effective eigenvalue solution based on Stokes' transformation and Fourier series of the restrained nano/microbeams under the effects of elastic medium, perforation parameters, deformable boundaries and nonlocal strain gradient elasticity for the first time.

키워드

참고문헌

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