Elastic Analysis of Functionally Graded Variable Thickness Rotating Disk by Element Based Material Grading

Subject Areas : Engineering

A.K Thawait ¹ , L Sondhi ² , Sh Sanyal ³ , Sh Bhowmick ⁴

1 - Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
2 - Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI,Bhilai, (C.G.), India
3 - Department of Mechanical Engineering, NIT Raipur, 492010, India
4 - Department of Mechanical Engineering, NIT Raipur, 492010, India

Received: 2017-06-29 Accepted : 2017-08-29 Published : 2017-09-01

Keywords: Functionally graded material, Elastic analysis, Annular rotating disk, Concave thickness profile rotating disk, Element based material gradation,

Abstract :

The present study deals with the elastic analysis of concave thickness rotating disks made of functionally graded materials (FGMs).The analysis is carried out using element based gradation of material properties in radial direction over the discretized domain. The resulting deformation and stresses are evaluated for free-free boundary condition and the effect of grading index on the deformation and stresses is investigated and presented. The results obtained show that there is a significant reduction of stresses in FGM disks as compared to homogeneous disks and the disks modeled by power law FGM have better strength.

References:

[1] Eraslan A.N., 2003, Elastic–plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions, International Journal of Mechanical Sciences 45: 643-667.
[2] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi E., 2009, Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads, International Journal of Pressure Vessels and Piping 86: 357-372.
[3] Afsar A.M., Go J., 2010, Finite element analysis of thermoelastic field in a rotating FGM circular disk, Applied Mathematical Modelling 34: 3309-3320.
[4] Callioglu H., 2011, Stress analysis in a functionally graded disc under mechanical loads and a steady state temperature distribution, Sadhana 36: 53-64.
[5] Bayat M., Sahari B.B., Saleem M., Dezvareh E., Mohazzab A.H., 2011, Analysis of functionally graded rotating disks with parabolic concave thickness applying an exponential function and the Mori-Tanaka scheme, IOP Conference Series: Materials Science and Engineering 17:1-11.
[6] Callioglu H., Sayer M., Demir E., 2011, Stress analysis of functionally graded discs under mechanical and thermal loads, Indian Journal of Engineering & Material Sciences 18: 111-118.
[7] Callioglu H., Bektas N.B., Sayer M., 2011, Stress analysis of functionally graded rotating discs: analytical and numerical solutions, Acta Mechanica Sinica 27: 950-955.
[8] Sharma J.N., Sharma D., Kumar S., 2012, Stress and strain analysis of rotating FGM thermoelastic circular disk by using FEM, International Journal of Pure and Applied Mathematics 74: 339-352.
[9] Ali A., Bayat M., Sahari B.B., Saleem M., Zaroog O.S., 2012, The effect of ceramic in combinations of two sigmoid functionally graded rotating disks with variable thickness, Scientific Research and Essays 7: 2174-2188.
[10] Nejad A., Abedi M., Hassan M., Ghannad M., 2013, Elastic analysis of exponential FGM disks subjected to internal and external pressure, Central European Journal of Engineering 3: 459-465.
[11] Ghorbanpour Arani A. , Loghman A. , Shajari A. R. , Amir S. , 2010, Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology 24: 2107-2118.
[12] Ghorbanpour Arani A. , Khoddami Maraghi Z. , Mozdianfard M. R. , Shajari A. R. ,2010, Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk, International Journal of Mechanics and Materials in Design 6: 341-349.
[13] Zafarmand H., Hassani B., 2014, Analysis of two-dimensional functionally graded rotating thick disks with variable thickness, Acta Mechanica 225: 453-464.
[14] Rosyid A., Saheb M.E., Yahia F.B., 2014, Stress analysis of nonhomogeneous rotating disc with arbitrarily variable thickness using finite element method, Research Journal of Applied Sciences, Engineering and Technology 7: 3114-3125.
[15] Zafarmand H., Kadkhodayan M., 2015, Nonlinear analysis of functionally graded nanocomposite rotating thick disks with variable thickness reinforced with carbon nanotubes, Aerospace Science and Technology 41: 47-54, 2015.
[16] Seshu P., 2003, A Text Book of Finite Element Analysis, PHI Learning Pvt.