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Effect of porosity and boundary conditions on dynamic characteristics of cracked plates made of functionally graded materials

  • Draouche Khayra (Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret) ;
  • Mohamed Ait Amar Meziane (Department of Civil Engineering, University of Tiaret) ;
  • Lazreg Hadji (Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret) ;
  • Hassen Ait Atmane (Laboratory of Structures, Geotechnics and Risks, Department of Civil Engineering, Faculty of Civil Engineering and Architecture, University Hassiba Benbouali of Chlef) ;
  • Riadh Bennai (Laboratory of Structures, Geotechnics and Risks, Department of Civil Engineering, Faculty of Civil Engineering and Architecture, University Hassiba Benbouali of Chlef) ;
  • Royal Madan (Department of Mechanical Engineering, Graphic Era (Deemed to be University))
  • Received : 2024.08.04
  • Accepted : 2024.10.16
  • Published : 2024.09.25
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Abstract

This research investigates the influence of defects, such as porosities, that may arise during the manufacturing process of functionally graded material (FGM) plates. These defects have the potential to significantly impact the behavior of structural elements. The primary focus of the study is the examination of the free vibration characteristics of porous and cracked FGM plates for different material composition types. The distribution of Young's modulus along the thickness of the plate is modeled using a power-law formulation, while the Poisson's ratio remains constant. Various material gradation types are explored, and the proposed model's accuracy is assessed through comparative analysis. Furthermore, the research investigates into how alterations in the porosity distribution rate, material gradation types, power-law index, thickness ratio, depth and location of the crack influence the fundamental frequency of the plates. It was found that the porosity with its various shapes, as well as the boundary conditions, significantly influence the dynamic behavior of an imperfect plate.

Keywords

References

  1. Abdalla, H.M.A., Casagrande, D. and Moro, L. (2020), "Thermo-mechanical analysis and optimization of functionally graded rotating disks", J. Strain Anal. Eng. Des., 55, 159-171. https://doi.org/10.1177/0309324720904793
  2. Alibeigloo, A. (2020), "Three-dimensional thermoelasticity analysis of graphene platelets reinforced cylindrical panel", Eur. J. Mech. - A/Solids, 81, 103941. https://doi.org/10.1016/j.euromechsol.2019.103941
  3. Alipour, M.M., Shariyat, M. and Shaban, M. (2010), "A semian-alytical solution for free vibration of variable thickness two-directional-functionally graded plates on elastic foundations", Int. J. Mech. Mater. Des., 6, 293-304. https://doi.org/10.1007/s10999-010-9134-2
  4. Al-Osta, M.A., Saidi, H., Tounsi, A., Al-Dulaijan, S.U., Al Zahrani, M.M., Sharif, A. and Tounsi, A. (2021), "Influence of porosity on the hygro-thermo-mechanical bending response of an AFG ceramic-metal plates using an integral plate model", Smart Struct. Syst., Int. J., 28(4), 499-513. https://doi.org/10.12989/sss.2021.28.4.499
  5. Almasi, D., Sadeghi, M., Lau, W.J., Roozbahani, F. and Iqbal, N. (2016), "Functionally graded polymeric materials: A brif review of current fabrication methods and introduction of a novel fabrication method", Mater. Sci. Eng. C, 64, 102-107. https://doi.org/10.1016/j.msec.2016.03.053
  6. Amir, M., Lim, J., Kim, S.-W. and Lee, S.-Y. (2023), "Finite element analysis of natural frequencies of the FGM porous cooling plate with cutouts: A multilayered FGM approach", Results Eng., 20, p. 101532. https://doi.org/10.1016/j.rineng.2023.101532
  7. Apalak, M.K. and Demirbas, M.D., (2015), "Thermal residual stresses in in-plane functionally graded clamped hollow circular plates subjected to an edge heat flux", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 229, 236-260. https://doi.org/10.1177/1464420713509699
  8. Barbaros, I., Yang, Y., Safaei, B., Yang, Z., Qin, Z. and Asmael, M. (2022), "State-of-the-art review of fabrication, application, and mechanical properties of functionally graded porous nanocomposite materials", Nanotechnol. Rev., 11, 321-371. https://doi.org/10.1515/ntrev-2022-0017
  9. Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J. Brazil. Soc. Mech. Sci. Eng., 38, 265-275. https://doi.org/10.1007/s40430-015-0354-0
  10. Bennai, R., Fourn, H., Nebab, M., Atmane, R.A., Mellal, F., Atmane, H.A., Benadouda, M. and Touns, A. (2022a), "On the wave dispersion and vibration characteristics of FG plates resting on elastic Kerr foundations via HSDT", Adv. Concrete Constr., Int. J., 14(3), 169-183. https://doi.org/10.12989/acc.2022.14.3.169
  11. Bennai, R., Ait Atmane, R., Bernard, F., Nebab, M., Mahmoudi, N., Ait Atmane, H., Aldosari, S.M. and Tounsi, A. (2022b), "Study on stability and free vibration behavior of porous FGM beams", Steel Compos. Struct., Int. J., 45(1), 67-82. https://doi.org/10.12989/scs.2022.45.1.067
  12. Benferhat, R., Daouadji, T.H., Hadji, L. and Mansour, M.S. (2016), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., Int. J., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123
  13. Bentrar, H., Chorfi, S.M., Belalia, S.A., Tounsi, A., Ghazwani, M.H. and Alnujaie, A. (2023a), "Effect of porosity distribution on free vibration of functionally graded sandwich plate using the P-version of the finite element method", Struct. Eng. Mech., Int. J., 88(6), 551-567. https://doi.org/10.12989/sem.2023.88.6.551
  14. Bentrar, H., Chorfi, S.M., Belalia, S.A., Tounsi, A., Ghazwani, M.H. and Alnujaie, A. (2023b), "Effect of porosity distribution on free vibration of functionally graded sandwich plate using the P-version of the finite element method", Struct. Eng. Mech., Int. J., 88(6), 551-567. https://doi.org/10.12989/sem.2023.88.6.551
  15. Cuong-Le, T., Nguyen, K.D., Nguyen-Trong, N., Khatir, S., Nguyen-Xuan, H. and Abdel-Wahab, M. (2021), "A three dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA", Compos. Struct., 259, p. 113216. https://doi.org/10.1016/j.compstruct.2020.113216
  16. Dahmane, M., Benadouda, M., Bennai, R., Saimi, A. and Ait Atmane, H. (2024), "Effect of crack on the dynamic response of bidirectional porous functionally graded beams on an elastic foundation based on finite element method", Acta Mech., 235(6), 3849-3860. https://doi.org/10.1007/s00707-024-03906-1
  17. Dai, H.-L., Rao, Y.-N. and Dai, T. (2016), "A review of recent researches on FGM cylindrical structures under coupled physical interactions, 2000–2015", Compos. Struct., 152, 199-225. https://doi.org/10.1016/j.compstruct.2016.05.042
  18. Djilali Djebbour, K.D., Atmane, H.A., Nebab, M., Bennai, R., Hadji, L. and Dahmane, M. (2024a), "Effect of porosity distribution on free vibration of functionally graded plates: an accurate application of HSDT theory", Stud. Eng. Exact Sci., 5(2), e6915-e6915. https://doi.org/10.54021/seesv5n2-114
  19. Djilali Djebbour, K., Mokhtar, N., Hassen, A.A., Alghanmi, R.A., Hadji, L. and Riadh, B. (2024b), "An enhanced quasi-3D HSDT for free vibration analysis of porous FG-CNT beams on a new concept of orthotropic VE-foundations", Mech. Adv. Mater. Struct., 1-17. https://doi.org/10.1080/15376494.2024.2356728
  20. Frahlia, H., Bennai, R., Nebab, M., Ait Atmane, H. and Tounsi, A. (2023), "Assessing effects of parameters of viscoelastic foundation on the dynamic response of functionally graded plates using a novel HSDT theory", Mech. Adv. Mater. Struct., 30(13), 2765-2779. https://doi.org10.1080/15376494.2022.2062632
  21. Hadji, L., Plevris, V., Madan, R. and Ait Atmane, H. (2024), "Multi-directional functionally graded sandwich plates: buckling and free vibration analysis with refined plate models under various boundary conditions", Computation, 12(4), 65. https://doi.org/10.3390/computation12040065
  22. Hosseini-Hashemi, Sh., Rokni Damavandi Taher, H., Akhavan, H. and Omidi, M. (2010), "Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory", Appl. Mathe. Modell., 34, 1276-1291. https://doi.org/10.1016/j.apm.2009.08.008
  23. Hosseini-Hashemi, Sh., Fadaee, M. and Atashipour, S.R. (2011), "A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates", Int. J. Mech. Sci., 53, 11-22. https://doi.org/10.1016/j.ijmecsci.2010.10.002
  24. Jafari Mehrabadi, S., Kargarnovin, M.H. and Najafizadeh, M.M. (2009), "Free vibration analysis of functionally graded coupled circular plate with piezoelectric layers", J. Mech. Sci. Technol., 23, 2008-2021. https://doi.org/10.1007/s12206-009-0519-9
  25. Jalali, S.K. and Heshmati, M. (2020), "Vibration analysis of tapered circular poroelastic plates with radially graded porosity using pseudo-spectral method", Mech. Mater., 140, p. 103240. https://doi.org/10.1016/j.mechmat.2019.103240
  26. Kehli, A., Nebab, M., Bennai, R., Ait Atmane, H. and Dahmane, M. (2024), "Dynamic characteristics analysis of functionally graded cracked beams resting on viscoelastic medium using a new quasi-3D HSDT", Mech. Adv. Mater. Struct., 1-14. https://doi.org10.1080/15376494.2024.2326983
  27. Karaman Genc, S. and Urkmez Taskin, N. (2024), "New Processing Route for the Production of Functionally Graded 7075 Al/SiCp Composites via a Combination of Semisolid Stirring and Sequential Squeeze Casting", Crystals, 14, p. 297. https://doi.org/10.3390/cryst14040297
  28. Lakhdar, K., Sadoun, M., Addou, F.Y., Bourada, F., Bousahla, A.A., Tounsi, A., Khedher, K.M. and Tounsi, A. (2024), "Free vibrational characteristics of various imperfect FG beam via a novel integral Timoshenko's theory", Acta Mechanica, 235(10), 6287-6304. https://doi.org/10.1007/s00707-024-04046-2
  29. Lal, R. and Saini, R. (2020), "Vibration analysis of functionally graded circular plates of variable thickness under thermal environment by generalized differential quadrature method", J Vib. Control, 26, 73-87. https://doi.org/10.1177/1077546319876389
  30. Li, L. and Zhang, D.G. (2016), "Free vibration analysis of rotating functionally graded rectangular plates", Compos. Struct., 136, 493-504. https://doi.org/10.1016/j.compstruct.2015.10.013
  31. Lieu, Q.X., Lee, D., Kang, J. and Lee, J. (2019), "NURBS-based modeling and analysis for free vibration and buckling problems of in-plane bi-directional functionally graded plates", Mech. Adv. Mater. Struct., 26, 1064-1080. https://doi.org/10.1080/15376494.2018.1430273
  32. Liu, C.-F. and Lee, Y.-T. (2000), "Finite element analysis of threedimensional vibrations of thick circular and annular plates", J. Sound Vib., 233, 63-80. https://doi.org/10.1006/jsvi.1999.2791
  33. Latroch, N., Dahmane, M., Benosman, A.S., Bennai, R., Ait Atmane, H. and Benadouda, M. (2023), "Inclined crack identification in bidirectional FG beams on an elastic foundation using the h-version of the finite element method", Mech. Adv. Mater. Struct., 1-7. https://doi.org/10.1080/15376494.2023.2290226
  34. Madan, R. and Bhowmick, S. (2022a), "Fabrication and microstructural characterization of Al-SiC based functionally graded disk", Aircraft Eng. Aerosp. Technol., 95(2), 292-301. https://doi.org/10.1108/AEAT-03-2022-0096
  35. adan, R. and Bhowmick, S. (2022b), "Fabrication, microstructural characterization and finite element analysis of functionally graded Al-Al2O3 disk using powder metallurgy technique", Mater. Today Commun., 32, p. 103878. https://doi.org/10.1016/j.mtcomm.2022.103878
  36. Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Mathe. Modell., 39, 2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
  37. Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21, 1906-1929. https://doi.org/10.1177/1099636217727577
  38. Mellal, F., Bennai, R., Avcar, M., Nebab, M. and Ait Atmane, H. (2023), "On the vibration and buckling behaviors of porous FG beams resting on variable elastic foundation utilizing higher-order shear deformation theory", Acta Mech., 234(9), 3955-3977. https://doi.org10.1007/s00707-023-03603-5
  39. Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, Abdeldjebbar, Benrahou, K.H., Tounsi, Abdelouahed, Adda Bedia, E.A. and Mahmoud, S.R. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., Int. J., 36(3), 355-367. https://doi.org/10.12989/scs.2020.36.3.355.
  40. Mortensen, A. and Suresh, S. (1995), "Functionally graded metals and metal-ceramic composites, Part 1 Processing", Int. Mater. Rev., 40, 239-265. https://doi.org/10.1179/imr.1995.40.6.239
  41. Nebab, M., Dahmane, M., Belqassim, A., Ait Atmane, H., Bernard, F., Benadouda, M., Bennai, R. and Hadji, L. (2023), "Fundamental frequencies of cracked FGM beams with influence of porosity and Winkler/Pasternak/Kerr foundation support using a new quasi-3D HSDT", Mech. Adv. Mater. Struct., 1-13. https://doi.org/10.1080/15376494.2023.2294371
  42. Nebab, M., Ait Atmane, H., Bennai, R. and Dahmane, M. (2024a), "Warping and porosity effects on the mechanical response of FG-Beams on non-homogeneous foundations via a Quasi-3D HSDT", Struct. Eng. Mech., Int. J., 90(1), 83-94. https://doi.org/10.12989/sem.2024.90.1.083
  43. Nebab, M., Atmane, H.A. and Bennai, R. (2024b), "Investigating wave propagation in sigmoid-FGM imperfect plates with accurate Quasi-3D HSDTs", Steel Compos. Struct., Int. J., 51(2), 185-202. https://doi.org/10.12989/scs.2024.51.2.185
  44. 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, 720-729. https://doi.org/10.1016/j.compstruct.2009.08.052
  45. Rajan, T.P.D. and Pai, B.C. (2014), "Developments in processing of functionally gradient metals and metal-ceramic composites: A review", Acta Metallurg. Sinica (English Letters), 27, 825-838. https://doi.org/10.1007/s40195-014-0142-3
  46. Rajan, T.P.D., Pillai, R.M. and Pai, B.C. (2008), "Centrifugal casting of functionally graded aluminium matrix composite components", Int. J. Cast Metals Res., 21, 214-218. https://doi.org/10.1179/136404608X361972
  47. Reddy, J.N. (2002), Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons Inc.
  48. Saidi, H., Tounsi, A., Bourada, F., Bousahla, A.A., Tounsi, A. and Al-Juboori, F.I.S. (2024), "Vibrational behavior of porous composite laminated plates using four unknown integral shear deformation theory", Steel Compos. Struct., Int. J., 52(3), 249-271. https://doi.org/10.12989/scs.2024.52.3.249
  49. Sobhy, M. (2013), "Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Compos. Struct., 99, 76-87. https://doi.org/10.1016/j.compstruct.2012.11.018
  50. Taibi, F.Z., Benyoucef, S., Tounsi, A., Bachir Bouiadjra, R., Adda Bedia, E.A. and Mahmoud, S. (2015), "A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 17, 99-129. https://doi.org/10.1177/1099636214554904
  51. Thai, H.T. and Choi, D.H. (2013), "Efficient higher-order shear deformation theories for bending and free vibration analyses of functionally graded plates", Arch. Appl. Mech., 83(12), 1755-1771. https://doi.org/10.1007/s00419-013-0776-z
  52. Thai, H.T., Nguyen, T.K., Vo, T.P. and Lee, J. (2014), "Analysis of functionally graded sandwich plates using a new first-order shear deformation theory", Eur. J. Mech. A/Solids, 45, 211-225. https://doi.org/10.1016/j.euromechsol.2013.12.008
  53. Tounsi, A., Tahir, S.I., Mudhaffar, I.M., Al-Osta, M.A. and Chikh, A. (2024), "On the wave propagation characteristics of functionally graded porous shells", HCMCOU J. Sci. – Adv. Computat. Struct., 14(1). Retrieved from: http://journalofscience.acs.ou.edu.vn/index.php/acs/article/view/40
  54. Uymaz, B. and Aydogdu, M. (2007), "Three-dimensional vibration analyses of functionally graded plates under various boundary conditions", J. Reinf. Plast. Compos., 26(18), 1847-1863. https://doi.org/10.1177/0731684407081351
  55. Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aerosp. Sci.Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002
  56. Wattanasakulpong, N., Gangadhara Prusty, B., Kelly, D.W. and Hoffman, M. (2012), "Free vibration analysis of layered functionally graded beams with experimental validation", Mater. Des. (1980-2015), 36, 182-190. https://doi.org/10.1177/0731684407081351
  57. Zenkour, A.M. (2005), "A comprehensive analysis of functionally graded sandwich plates: Part 1—Deflection and stresses", Int. J. Solids Struct., 42, 5224-5242. https://doi.org/10.1016/j.ijsolstr.2005.02.015
  58. Zhao, W., Gong, X., Guo, D. and Li, C. (2024), "Free vibration and thermal buckling analysis of FGM sandwich circular plate under transverse non-uniform temperature rise", J. Brazil. Soc. Mech. Sci. Eng., 46, 108. https://doi.org/10.1007/s40430-023-04596-x
  59. Zhu, J., Lai, Z., Yin, Z., Jeon, J. and Lee, S. (2001), "Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy", Mater. Chem. Phys., 68, 130-135. https://doi.org/10.1016/S0254-0584(00)00355-2
  60. Zouatnia, N., Hadji, L. and Amar Kassoul, A. (2017), 'An analytical solution for bending and vibration responses of functionally graded beams with porosities', Wind Struct., Int.J., 25(4), 329-342. https://doi.org/1012989/was.2017.25.4.329 1012989/was.2017.25.4.329
  61. Zouatnia, N., Hadji, L., Atmane, H.A., Nebab, M., Madan, R., Bennai, R. and Dahmane, M. (2024a), 3Analysis of free vibration in bi-directional power law-based FG beams employing RSD theory',, Coupled Syst. Mech., Int. J., 13(4), 359-375. https://doi.org/10.12989/csm.2024.13.4.359
  62. Zouatnia, N., Hadji, L., Atmane, H.A. and Larbi, L.O. (2024b), 'Impact of porosity distribution and grading parameters on free vibration of functionally graded beams', Stud. Eng. Exact Sci., 5(2), e6945-e6945. https://doi.org/10.54021/seesv5n2-122