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Analytical solutions for bending of transversely or axially FG nonlocal beams
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  • Analytical solutions for bending of transversely or axially FG nonlocal beams
  • Analytical solutions for bending of transversely or axially FG nonlocal beams
저자명
Nguyen. Ngoc-Tuan,Kim. Nam-Il,Lee. Jaehong
간행물명
Steel & Composite structures : an international journal
권/호정보
2014년|17권 5호|pp.641-665 (25 pages)
발행정보
테크노프레스
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

This paper presents the analytical solutions for the size-dependent static analysis of the functionally graded (FG) beams with various boundary conditions based on the nonlocal continuum model. The nonlocal behavior is described by the differential constitutive model of Eringen, which enables to this model to become effective in the analysis and design of nanostructures. The elastic modulus of beam is assumed to vary through the thickness or longitudinal directions according to the power law. The governing equations are derived by using the nonlocal continuum theory incorporated with Euler-Bernoulli beam theory. The explicit solutions are derived for the static behavior of the transversely or axially FG beams with various boundary conditions. The verification of the model is obtained by comparing the current results with previously published works and a good agreement is observed. Numerical results are presented to show the significance of the nonlocal effect, the material distribution profile, the boundary conditions, and the length of beams on the bending behavior of nonlocal FG beams.