Static Analysis of a Functionally Graded Beam Under Thermal and Mechanical Load
Abstract
This thesis includes a static analysis of a cantilever beam made of functionally graded materials (FGM). In the analytical modeling, trapezoidal and Simpson’s methods are used to solve for equations. ANSYS 17.2 is employed in the numerical modeling. The used materials to construct the functionally graded beam are ceramic (Al2O3) and nickel (Ni). Ceramic is placed on the top layer and the nickel is placed on the bottom layer. Then, the material properties between these two layers varied according to the power-law. The only displacement is of interest from performing analytical and numerical results. It was found that increasing the number of layers leads to increase in the accuracy of the results. It is found in cantilever beam that maximum deflection occurs when the FG beam layer is pure nickel (K = 0) while the minimum deflection happens when the FG beam layer is pure ceramic (k =100).
Cite this Article: Shahbaa Basim Helal, Luay Sadiq Al-Ansari, Hafidh Hassan Mohammed. Static Analysis of a Functionally Graded Beam under Thermal and Mechanical Load. International Journal of Machine Design and Manufacturing. 2019; 5(2): 39–51p.
Keywords
Full Text:
PDFReferences
Mahamood Rasheedat M, Esther T Akinlabi, Mukul Shukla, Sisa Pityana. Functionally graded material: an overview. Proceedings of the World Congress on Engineering 2012 Vol III WCE 2012. London, UK. 2012, July 4–6.
FG Yuan, RE Miller. A new finite element for laminated composite beams. Computer and Structures. 1989; 31(5): 737–745. https://doi.org/10.1016/ 0045-7949(89)90207-1. [3] KP Beena, U Parvathy. Linear static analysis of functionally graded plate using spline finite strip method. Composite Structures. 2014; 117: 309–315. [4] Mehta R, Balaji PS. Static and dynamic analysis of functionally graded beam. PARIPEX–Indian Journal of Research. 2013; 2: 80–85.
Bhandari Manish, Purohit Kamlesh, Sharma Manoj. Static analysis of functionally gradient material plate with various functions. Research Journal of Recent Sciences. 2014; 3(12): 99–106.
Chung YL, Chi SH. The residual stress of functionally graded materials. J. of the Chinese Institute of Civil and Hydraulic Engg. 2001; 13: 1–9
Zainy Hayder Z, Al-Ansari Luay S, Al-Hajjar Ali M, Shareef Mahdi MS. Analytical and numerical approaches for calculating the static deflection of functionally graded beam under mechanical load. International Journal of Engineering & Technology. 2018; 7(4): 3889–3896.
EJ Hearn. Mechanics of Materials: An Introduction to the Mechanics of Elastic and Plastic Deformation of Solids and Structural Materials. Butterworth-Heinemann, Oxford Boston Johannesburg, Melbourne, 3rd Ed. 2000.
Ferdinand L. Singer and Andrew Pytel. Strength of Materials. 3rd Ed. New York: Harper & Row Publishers; 1987.
Mostapha Raki, Reza Alipour, Amirabbas Kamanbedast. Thermal buckling of thin rectangular FGM plate. World Applied Sciences Journal. 2012; 16(1): 52–62.
Alexraja S, N Vasirajab, P Nagarajc. Static behaviour of functionally graded material beam using finite element method. International Conference on Energy Efficient Technologies for Sustainability. IEEE. 2013. pp. 267–273. DOI: 10.1109/ICEETS.2013.6533394
Refbacks
- There are currently no refbacks.