Advances in materials Research

  • 제9권2호
  • /
  • Pages.115-131
  • /
  • 2020
  • /
  • 2234-0912(pISSN)
  • /
  • 2234-179X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Limit speeds and stresses in power law functionally graded rotating disks

  • Madan, Royal (Department of Mechanical Engineering, National Institute of Technology Raipur) ;
  • Saha, Kashinath (Department of Mechanical Engineering, Jadavpur University) ;
  • Bhowmick, Shubhankar (Department of Mechanical Engineering, National Institute of Technology Raipur)
  • 투고 : 2020.01.01
  • 심사 : 2020.05.13
  • 발행 : 2020.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

Limit elastic speed analysis of Al/SiC-based functionally graded annular disk of uniform thickness has been carried out for two cases, namely: metal-rich and ceramic rich. In the present study, the unknown field variable for radial displacement is solved using variational method wherein the solution was obtained by Galerkin's error minimization principle. One of the objectives was to identify the variation of induced stress in a functionally graded disk of uniform thickness at limit elastic speed using modified rule of mixture by comparing the induced von-Mises stress with the yield stress along the disk radius, thereby locating the yield initiation. Furthermore, limit elastic speed has been reported for a combination of varying grading index (n) and aspect ratios (a/b).Results indicate, limit elastic speed increases with an increase in grading indices. In case of an increase in aspect ratio, limit elastic speed increases up to a critical value beyond which it recedes. Also, the objective was to look at the variation of yield stress corresponding to volume fraction variation within the disk which later helps in material tailoring. The study reveals the qualitative variation of yield stress for FG disk with volume fraction, resulting in the possibility of material tailoring from the processing standpoint, in practice.

키워드

참고문헌

  1. Abderezak, R., Rabia, B., Daouadji, T.H., Abbes, B., Belkacem, A. and Abbes, F. (2018), "Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams", Adv. Mater. Res., Int. J., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.83
  2. Bayat, M., Saleem, M., Sahari, B.B., Hamouda, A.M.S. and Mahdi, E. (2008), "Analysis of functionally graded rotating disks with variable thickness", Mech. Res. Commun., 35(5), 283-309. https://doi.org/10.1016/j.mechrescom.2008.02.007
  3. Bhattacharyya, M., Kapuria, S. and Kumar, A.N. (2007), "On the Stress to Strain Transfer Ratio and Elastic Deflection Behavior for Al/SiC Functionally Graded Material", Mech. Adv. Mater. Struct., 14(4), 295-302. https://doi.org/10.1080/15376490600817917
  4. Bhowmick, S., Misra, D. and Nath Saha, K. (2008), "Approximate solution of limit angular speed for externally loaded rotating solid disk", Int. J. Mech. Sci., 50(2), 163-174. https://doi.org/10.1016/j.ijmecsci.2007.07.004
  5. Bhowmick, S., Misra, D. and Saha, K.N. (2009), "A parametric study on the growth of yield front in rotating annular disks", Int. J. Eng. Sci. Technol., 1(1), 190-204. 7
  6. Bhowmick, S., Misra, D. and Saha, K. (2010), "Variational formulation based analysis on growth of yield front in high speed rotating solid disks", Int. J. Eng. Sci. Technol., 2(4), 200-219.
  7. Callioglu, H., Sayer, M. and Demir, E. (2015), "Elastic-plastic stress analysis of rotating functionally graded discs", Thin-Wall. Struct., 94, 38-44. https://doi.org/10.1016/j.tws.2015.03.016
  8. Ebrahimi, F. and Jafari, A. (2016), "A higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities", J. Eng., 1-20. https://doi.org/10.1155/2016/9561504
  9. Ebrahimi, F. and Salari, E. (2015), "Thermo-mechanical vibration analysis of nonlocal temperature-dependent FG nanobeams with various boundary conditions", Compos. Part B: Eng., 78, 272-290. https://doi.org/10.1016/j.compositesb.2015.03.068
  10. Ebrahimi, F. and Salari, E. (2016), "Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent functionally graded nanobeams", Mech. Adv. Mater. Struct., 23(12), 1379-1397. https://doi.org/10.1080/15376494.2015.1091524
  11. Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2015), "Thermomechanical vibration behavior of FG nanobeams subjected to linear and non-linear temperature distributions", J. Thermal Stress., 38(12), 1360-1386. https://doi.org/10.1080/01495739.2015.1073980
  12. Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2016), "In-plane thermal loading effects on vibrational characteristics of functionally graded nanobeams", Meccanica, 51(4), 951-977. https://doi.org/10.1007/s11012-015-0248-3
  13. Ebrahimi, F., Mahmoodi, F. and Barati, M.R. (2017), "Thermo-mechanical vibration analysis of functionally graded micro/nanoscale beams with porosities based on modified couple stress theory", Adv. Mater. Res., Int. J., 6(3), 279-301. https://doi.org/10.12989/amr.2017.6.3.279
  14. Hamed, M.A., Sadoun, A.M. and Eltaher, M.A. (2019), "Effects of porosity models on static behavior of size dependent functionally graded beam", Struct. Eng. Mech., Int. J., 71(1), 89-98. https://doi.org/10.12989/sem.2019.71.1.089
  15. Jahromi, B.H., Nayeb-Hashemi, H. and Vaziri, A. (2012), "Elasto-plastic stresses in a functionally graded rotating disk", J. Eng. Mater. Technol., 134(2), 021004. https://doi.org/10.1115/1.4006023
  16. Jha, K., Kumar, R., Verma, K., Chaudhary, B., Tyagi, Y.K. and Singh, S. (2018), "Application of modified TOPSIS technique in deciding optimal combination for bio-degradable composite", Vacuum, 157, 259-267. https://doi.org/10.1016/j.vacuum.2018.08.063
  17. Kordkheili, S.A.H. and Naghdabadi, R. (2007), "Thermoelastic analysis of a functionally graded rotating disk", Compos. Struct., 79(4), 508-516. https://doi.org/10.1016/j.compstruct.2006.02.010
  18. Madan, R. and Bhowmick, S. (2020), "A review on application of FGM fabricated using solid-state processes", Adv. Mater. Process. Technol., 1-12. https://doi.org/10.1080/2374068X.2020.1731153
  19. Madan, R., Bhowmick, S. and Nath Saha, K. (2018), "Stress and deformation of functionally graded rotating disk based on modified rule of mixture", Mater. Today: Proceedings, 5(9), 17778-17785. https://doi.org/10.1016/j.matpr.2018.06.102
  20. Madan, R., Saha, K. and Bhowmick, S. (2019a), "Limit elastic analysis of rotating annular disks having sigmoid-FGM composition based on MROM", World J. Eng., 16(6), 806-813. https://doi.org/10.1108/WJE-05-2019-0155
  21. Madan, R., Saha, K. and Bhowmick, S. (2019b), "Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties", Mathe. Model. Eng. Problems, 6(4), 634-640. https://doi.org/10.18280/mmep.060419
  22. Madan, R., Bhowmick, S. and Saha, K. (2019c), "Limit angular speed of L-FGM rotating disk for both temperature dependent and temperature independent mechanical properties. Materials Today: Proceedings, 18, 2366-2373. https://doi.org/10.1016/j.matpr.2019.07.080
  23. Madan, R., Bhowmick, S. and Saha, K. (2020), "A Study based on Stress-Strain Transfer Ratio Calculation using Halpin-Tsai and MROM Material Model for Limit Elastic Analysis of Metal Matrix FG Rotating disk", FME Transact., 48, 204-210. https://doi.org/10.5937/fmet2001204R
  24. Mahamood, R.M. and Akinlabi, E.T. (2017), "Future Research Direction in Functionally Graded Materials and Summary", In: Functionally Graded Materials, (R.M. Mahamood and E.T. Akinlabi), pp. 93-103. https://doi.org/10.1007/978-3-319-53756-6_6
  25. Mahdavi, E., Ghasemi, A. and Alashti, R.A. (2016), "Elastic-plastic analysis of functionally graded rotating disks with variable thickness and temperature-dependent material properties under mechanical loading and unloading", Aerosp. Sci. Technol., 59, 57-68. https://doi.org/10.1016/j.ast.2016.10.011
  26. Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A. and Ford, R.G. (Eds.) (1999), Functionally Graded Materials, (Volume 5), Springer US. https://doi.org/10.1007/978-1-4615-5301-4
  27. Mortensen, A. and Suresh, S. (1995), "Functionally graded metals and metal-ceramic composites: Part 1 Processing", Int. Mater. Rev., 40(6), 239-265. https://doi.org/10.1179/imr.1995.40.6.239
  28. Nakamura, T., Wang, T. and Sampath, S. (2000), "Determination of properties of graded materials by inverse analysis and instrumented indentation", Acta Material., 48(17), 4293-4306. https://doi.org/10.1016/S1359-6454(00)00217-2
  29. Nayak, P. and Saha, K. (2016), "Elastic limit angular speed of solid and annular disks under thermomechanical loading", Int. J. Eng. Sci. Technol., 8(2), 30. https://doi.org/10.4314/ijest.v8i2.3
  30. Nejad, M.Z., Rastgoo, A. and Hadi, A. (2014), "Exact elasto-plastic analysis of rotating disks made of functionally graded materials", Int. J. Eng. Sci., 85, 47-57. https://doi.org/10.1016/j.ijengsci.2014.07.009
  31. Nie, G.J. and Batra, R.C. (2010), "Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness", Compos. Struct., 92(3), 720-729. https://doi.org/10.1016/j.compstruct.2009.08.052
  32. Saif, M., Mullick, P. and Imam, A. (2019), "Analysis and structural design of various turbine blades under variable conditions: A review", Adv. Mater. Res., Int. J., 8(1), 11-24. https://doi.org/10.12989/amr.2019.8.1.011
  33. Shackelford, J.F. and Alexander, W. (Eds.) (2001), CRC Materials Science and Engineering Handbook, (3rd ed.), CRC Press.
  34. Zheng, Y., Bahaloo, H., Mousanezhad, D., Mahdi, E., Vaziri, A. and Nayeb-Hashemi, H. (2016), "Stress analysis in functionally graded rotating disks with non-uniform thickness and variable angular velocity", Int. J. Mech. Sci., 119, 283-293. https://doi.org/10.1016/j.ijmecsci.2016.10.018