A New Fifth-Order Shear and Normal Deformation Theory for Static Bending and Elastic Buckling of P-FGM Beams
| Autor: | Shantaram M. Ghumare, Atteshamuddin S. Sayyad |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Timoshenko beam theory
Materials science Deformation theory Aerospace Engineering Ocean Engineering 02 engineering and technology Functionally graded material transverse normal deformation 0203 mechanical engineering General Materials Science buckling Civil and Structural Engineering lcsh:QC120-168.85 business.industry Functionally graded beam Mechanical Engineering Mechanics Structural engineering bending 021001 nanoscience & nanotechnology Shear rate Simple shear 020303 mechanical engineering & transports Shear (geology) Buckling Mechanics of Materials transverse shear deformation Automotive Engineering lcsh:Descriptive and experimental mechanics 0210 nano-technology business lcsh:Mechanics of engineering. Applied mechanics lcsh:TA349-359 Beam (structure) |
| Zdroj: | Latin American Journal of Solids and Structures, Vol 14, Iss 11, Pp 1893-1911 Latin American Journal of Solids and Structures v.14 n.11 2017 Latin American journal of solids and structures Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM Latin American Journal of Solids and Structures, Volume: 14, Issue: 11, Pages: 1893-1911, Published: 2017 |
| ISSN: | 1679-7825 |
| Popis: | A new fifth-order shear and normal deformation theory (FOSNDT) is developed for the static bending and elastic buckling analysis of functionally graded beams. The properties of functionally graded material are assumed to vary through the thickness direction according to power-law distribution (P-FGM). The most important feature of the present theory is that it includes the effects of transverse shear and normal deformations. Axial and transverse displacements involve polynomial shape functions to include the effects of transverse shear and normal deformations. A polynomial shape function expanded up to fifth-order in terms of the thickness coordinate is used to account for the effects of transverse shear and normal deformations. The kinematics of the present theory is based on six independent field variables. The theory satisfies the traction free boundary conditions at top and bottom surfaces of the beam without using problem dependent shear correction factor. The closed-form solutions of simply supported FG beams are obtained using Navier’s solution procedure and non-dimensional results are compared with those obtained by using classical beam theory, first order shear deformation theory and other higher order shear deformation theories. It is concluded that the present theory is accurate and efficient in predicting the bending and buckling responses of functionally graded beams. |
| Databáze: | OpenAIRE |
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