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Bending analysis of exponentially varied FG plates using trigonometric shear and normal deformation theory

  • Sunil S. Yadav (Structural Engineering Department, Veermata Jijabai Technological Institute) ;
  • Keshav K. Sangle (Structural Engineering Department, Veermata Jijabai Technological Institute) ;
  • Mandar U. Kokane (Structural Engineering Department, Veermata Jijabai Technological Institute) ;
  • Sandeep S. Pendhari (Structural Engineering Department, Veermata Jijabai Technological Institute) ;
  • Yuwaraj M. Ghugal (Structural Engineering Department, Veermata Jijabai Technological Institute)
  • Received : 2023.01.25
  • Accepted : 2023.06.20
  • Published : 2023.05.25
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Abstract

In this paper, bending analysis of exponentially varying functionally graded (FG) plate is presented using trigonometric shear deformation theory (TSDT) considering both transverse shear and normal deformation effects. The in-plane displacement field consists of sinusoidal functions in thickness direction to include transverse shear strains and transverse displacement include the effect of transverse normal strain using the cosine function in thickness coordinate. The governing equations and boundary conditions of the theory are derived using the virtual work principle. System of governing equations, for simply supported conditions, Navier's solution technique is used to obtain results. Plate material properties vary across thickness direction according to exponential distribution law. In the current theory, transverse shear stresses are distributed accurately through the plate thickness, hence obviates the need for a shear correction factor. TSDT results are compared with those from other theories to ensure the accuracy and effectiveness of the present theory. The current theory is in excellent agreement with the semi-analytical theory.

Keywords

References

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