Steel and Composite Structures

  • 제25권2호
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  • Pages.127-139
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  • 2017
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analytical solutions for sandwich plates considering permeation effect by 3-D elasticity theory

  • Huo, Ruili (College of Civil Engineering, Nanjing Tech University) ;
  • Liu, Weiqing (College of Civil Engineering, Nanjing Tech University) ;
  • Wu, Peng (College of Civil Engineering, Nanjing Tech University) ;
  • Zhou, Ding (College of Civil Engineering, Nanjing Tech University)
  • 투고 : 2017.03.14
  • 심사 : 2017.06.17
  • 발행 : 2017.10.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, an exact analytical solution for simply supported sandwich plate which considers the permeation effect of adhesives is presented. The permeation layer is described as functionally graded material (FGM), the elastic modulus of which is assumed to be graded along the thickness following the exponential law. Based on the exact three-dimensional (3-D) elasticity theory, the solution of stresses and displacements for each layer is derived. By means of the recursive matrix method, the solution can be efficiently obtained for plates with many layers. The present solution obtained can be used as a benchmark to access other simplified solutions. The comparison study indicates that the finite element (FE) solution is close to the present one when the FGM layer in the FE model is divided into a series of homogeneous layers. However, the present method is more efficient than the FE method, with which the mesh division and computation are time-consuming. Moreover, the solution based on Kirchhoff-Love plate theory is greatly different from the present solution for thick plates. The influence of the thickness of the permeation layer on the stress and displacement fields of the sandwich plate is discussed in detail. It is indicated that the permeation layer can effectively relieve the discontinuity stress at the interface.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

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피인용 문헌

  1. Solution of boundary problems of structural mechanics with the combined application use of Discrete-Continual Finite Element Method and Finite Element Method vol.456, pp.None, 2017, https://doi.org/10.1088/1757-899x/456/1/012100
  2. Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive vol.2020, pp.None, 2017, https://doi.org/10.1155/2020/7358930