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http://dx.doi.org/10.12989/sem.2022.82.2.225

Wave propagation in a FG circular plate via the physical neutral surface concept  

She, Gui-Lin (College of Mechanical and Vehicle Engineering, Chongqing University)
Ding, Hao-Xuan (College of Mechanical and Vehicle Engineering, Chongqing University)
Zhang, Yi-Wen (College of Mechanical and Vehicle Engineering, Chongqing University)
Publication Information
Structural Engineering and Mechanics / v.82, no.2, 2022 , pp. 225-232 More about this Journal
Abstract
In this paper, the physical neutral surface concept is applied to study the wave propagation of functionally graded (FG) circular plate, the wave equation is derived by Hamiltonian variational principle and the first-order shear deformation plate model. Then, we convert the equations to dimensionless equations. The exact solution of wave propagation problem is obtained by Laplace integral transformation, the first order Hankel integral transformation and the zero order Hankel integral transformation. The results obtained by the current model are very close to those obtained in the existing literature, which indicates the correctness and reliability of this study. Moreover, the effects of the functionally graded index parameters and pore volume fraction on the wave propagation are also discussed in detail.
Keywords
circularplate; functionally graded materials; physical neutral surface concept; pores; wave propagation;
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Times Cited By KSCI : 13  (Citation Analysis)
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1 Jalaei, M.H. and Civalek, O. (2019), "On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam", Int. J. Eng. Sci., 143, 14-32. https://doi.org/10.1016/j.ijengsci.2019.06.013.   DOI
2 Lu, L., She, G.L. and Guo, X. (2021), "Size-dependent postbuckling analysis of graphene reinforced composite microtubes with geometrical imperfection", Int. J. Mech. Sci., 199, 106428. https://doi.org/10.1016/j.ijmecsci.2021.106428.   DOI
3 Malikan, M. and Eremeyev, V.A. (2020), "A new hyperbolic-polynomial higher-order elasticity theory for mechanics of thick FGM beams with imperfection in the material composition", Compos. Struct., 249, 112486. https://doi.org/10.1016/j.compstruct.2020.112486.   DOI
4 Malikan, M., Wiczenbach, T. and Eremeyev, V.A. (2021), "Thermal buckling of functionally graded piezomagnetic micro-and nanobeams presenting the flexomagnetic effect", Continuum Mech. Thermodyn., 1-16. https://doi.org/10.1007/s00161-021-01038-8.   DOI
5 Nguyen, V.L., Tran, M.T., Nguyen, V.L. and Le, Q.H. (2021), "Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept", Arch. Mech. Eng., 68(1), 5-22. https://doi.org/10.24425/ame.2020.131706.   DOI
6 Radic, N. (2018), "On buckling of porous double-layered FG nanoplates in the Pasternak elastic foundation based on nonlocal strain gradient elasticity", Compos. Part B.-Eng., 153, 465-479. https://doi.org/10.1016/j.compositesb.2018.09.014.   DOI
7 She, G.L. (2021), "Guided wave propagation of porous functionally graded plates: The effect of thermal loadings", J. Therm. Stress., 44(10), 1289-1305. https://doi.org/10.1080/01495739.2021.1974323.   DOI
8 She, G.L., Liu, H.B. and Karami, B. (2021), "Resonance analysis of composite curved microbeams reinforced with graphene nanoplatelets", Thin Wall. Struct., 160, 107407. https://doi.org/10.1016/j.tws.2020.107407.   DOI
9 Sun, D. and Luo, S.N. (2012), "Wave propagation and transient response of a functionally graded material plate under a point impact load in thermal environments", Appl. Math. Model., 36(1), 444-462. https://doi.org/10.1016/j.apm.2011.07.023.   DOI
10 Yahia, S.A., Atmane, H.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143.   DOI
11 Zenkour, A.M. (2018), "A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities", Compos. Struct., 201, 38-48. https://doi.org/10.1016/j.compstruct.2018.05.147.   DOI
12 Zouatnia, N., Hadji, L. and Kassoul, A. (2017), "A refined hyperbolic shear deformation theory for bending of functionally graded beams based on neutral surface position", Struct. Eng. Mech., 63(5), 683-689. http://doi.org/10.12989/sem.2017.63.5.683.   DOI
13 Zenkour, A.M. and Radwan, A.F. (2019), "Bending response of FG plates resting on elastic foundations in hygro thermal environment with porosities", Compos. Struct., 213, 133-143. https://doi.org/10.1016/j.compstruct.2019.01.065.   DOI
14 Zhang, D.G. and Zhou, H.M. (2015), "Nonlinear bending analysis of FGM circular plates based on physical neutral surface and higher-order shear deformation theory", Aerosp. Sci. Technol., 41, 90-98. https://doi.org/10.1016/j.ast.2014.12.016.   DOI
15 Zhang, Y.Y., Wang, X.Y., Zhang, X., Shen, H.M. and She, G.L. (2021), "On snap-buckling of FG-CNTR curved nanobeams considering surface effects", Steel Compos. Struct., 38(3), 293-304. https://doi.org/10.12989/scs.2021.38.3.293.   DOI
16 Akgoz, B. and Civalek, O . (2015), "A novel microstructure-dependent shear deformable beam model", Int. J. Mech. Sci., 99, 10-20. https://doi.org/10.1016/j.ijmecsci.2015.05.003.   DOI
17 Arefi, M., Bidgoli, E.M.R., Dimitri, R., Bacciocchi, M. and Tornabene, F. (2018), "Application of sinusoidal shear deformation theory and physical neutral surface to analysis of functionally graded piezoelectric plate", Compos. Part B.-Eng., 151, 35-50. http://doi.org/10.1016/j.compositesb.2018.05.050.   DOI
18 Kumar, S., Ranjan, V. and Jana, P. (2018), "Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method", Compos. Struct., 197, 39-53. http://doi.org/10.1016/j.compstruct.2018.04.085.   DOI
19 Ahmadi, H. (2019), "Nonlinear primary resonance of imperfect spiral stiffened functionally graded cylindrical shells surrounded by damping and nonlinear elastic foundation", Eng. Comput., 35, 1491-1505. http://doi.org/10.1007/s00366-018-0679-2.   DOI
20 Akgoz, B. and Civalek, O. (2017), "Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams", Compos. Part B: Eng., 129, 77-87. https://doi.org/10.1016/j.compositesb.2017.07.024.   DOI
21 Alnujaie, A., Akba, E.D., Eltaher, M. and Assie, A. (2021), "Forced vibration of a functionally graded porous beam resting on viscoelastic foundation", Geomech. Eng., 24(1), 91. http://doi.org/10.12989/gae.2021.24.1.091.   DOI
22 Amar, L.H.H., Kaci, A., Yeghnem, R. and Tounsi, A. (2018), "A new four-unknown refined theory based on modified couplestress theory for size-dependent bending and vibration analysisof functionally graded micro-plate", Steel Compos. Struct., 26(1), 89-102. http://doi.org/10.12989/scs.2018.26.1.089.   DOI
23 Babaei, H., Kiani, Y. and Eslami, M.R. (2019), "Large amplitude free vibrations of long FGM cylindrical panels on nonlinear elastic foundation based on physical neutral surface", Compos. Struct., 220, 888-898. https://doi.org/10.1016/j.compstruct.2019.03.064.   DOI
24 Anirudh, B., Zineb, T.B., Polit, O., Ganapathi, M. and Prateek, G. (2020), "Nonlinear bending of porous curved beams reinforced by functionally graded nano composite graphene platelets applying an efficient shear flexible finite element approach", Int. J. Nonlin. Mech., 119, 103346. https://doi.org/10.1016/j.ijnonlinmec.2019.103346.   DOI
25 Attia, M.A. and Mohamed, S.A. (2020a), "Thermal vibration characteristics of pre/post-buckled bi-directional functionally graded tapered microbeams based on modified couple stress Reddy beam theory", Eng. Comput., 1-27. https://doi.org/10.1007/s00366-020-01188-4.   DOI
26 Asiri, S.A., Akba, E.D. and Eltaher, M. (2020), "Damped dynamic responses of a layered functionally graded thick beam under a pulse load", Struct. Eng. Mech., 75(6), 713-722. http://doi.org/10.12989/sem.2020.75.6.713.   DOI
27 Civalek, M., Dastjerdi, S., Akba, E.D. and Akgz, B. (2021), "Vibration analysis of carbon nanotube-reinforced composite microbeams", Math. Meth. Appl. Sci., https://doi.org/10.1002/mma.7069.   DOI
28 Rahman, A., Abd-El-Mottaleb, H.E. and Eltaher, M. (2020), "On bending analysis of perforated microbeams including the microstructure effects", Struct. Eng. Mech., 76(6), 765-779. https://doi.org/10.12989/sem.2020.76.6.765.   DOI
29 Attia, M.A. and Mohamed, S.A. (2020b), "Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on Reddy beam theory", Eng. Comput., 1-30. https://doi.org/10.1007/s00366-020-01080-1.   DOI
30 Babaei, H. and Eslami, M.R. (2021), "Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT", Appl. Math. Model., 91, 1061-1080. https://doi.org/10.1016/j.apm.2020.10.004.   DOI
31 Barretta, R., Ali Faghidian, S. and Marotti de Sciarra, F., Penna, R. and Pinnola F.P. (2020), "On torsion of nonlocal Lam strain gradient FG elastic beams", Compos. Struct., 233, 111550. https://doi.org/10.1016/j.compstruct.2019.111550.   DOI
32 Chemi, A., Heireche, H., Zidour, M., Rakrak, K. and Bousahla, A.A. (2015), "Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity", Adv. Nano Res., 3(4), 193-206. http://doi.org/10.12989/anr.2015.3.4.193.   DOI
33 Faleh, N.M., Ahmed, R.A. and Fenjan, R.M. (2018), "On vibrations of porous FG nanoshells", Int. J. Eng. Sci., 133, 1-14. https://doi.org/10.1016/j.ijengsci.2018.08.007.   DOI
34 Civalek, M., Uzun, B., Yayl, M.Z. and Akgz, B. (2020), "Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method", Eur. Phys. J. Plus, 135(4), 381. https://doi.org/10.1140/epjp/s13360-020-00385-w.   DOI
35 Golmakani, M.E.,Malikan, M. and Pour, S.G. (2021), "Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method", Continuum Mech. Thermodyn., 1-20. https://doi.org/10.1007/s00161-021-00995-4.   DOI
36 Dehrouyeh-Semnani, A.M., Dehdashti, E., Yazdi, M. and Nikkhah-Bahrami, M. (2019), "Nonlinear thermo-resonant behavior of fluid-conveying FG pipes", Int. J. Eng. Sci., 144, 103141. https://doi.org/10.1016/j.ijengsci.2019.103141   DOI
37 Eltaher, M. and Akba, E.D. (2020), "Transient response of 2d functionally graded beam structure", Struct. Eng. Mech., 75(3), 357-367. https://doi.org/10.12989/sem.2020.75.3.357.   DOI
38 Eltaher, M.A., Omar, F.A., Abdalla, W.S., Kabeel, A.M. and Alshorbagy, A.E. (2020), "Mechanical analysis of cutout piezoelectric nonlocal nanobeam including surface energy effects", Struct. Eng. Mech., 76(1), 141-151. https://doi.org/10.12989/sem.2020.76.1.141.   DOI
39 Faghidian, S.A. (2016), "Unified formulation of the stress field of saint-Venant's flexure problem for symmetric cross-sections", Int. J. Mech. Sci., 111-112, 65-72. https://doi.org/10.1016/j.ijmecsci.2016.04.003.   DOI
40 Faghidian, S.A. (2017), "Unified formulations of the shear coefficients in timoshenko beam theory", J. Eng. Mech., 143(9), 06017013. http://doi.org/10.1061/(ASCE)EM.1943-7889.0001297.   DOI
41 Heydari, A. (2018), "Exact vibration and buckling analyses ofarbitrary gradation of nano-higher order rectangular beam", Steel Compos. Struct., 28(5), 589-606. http://doi.org/10.12989/scs.2018.28.5.589.   DOI
42 Ding, H.X. and She, G.L. (2021), "A higher-order beam model for the snap-buckling analysis of FG pipes conveying fluid", Struct. Eng. Mech., 80(1), 63-72. http://doi.org/10.12989/sem.2021.80.1.063.   DOI