[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/cac.2020.25.1.037

A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis

Kaddari, Miloud (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Kaci, Abdelhakim (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Bousahla, Abdelmoumen Anis (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Bourada, Fouad (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Tounsi, Abdeldjebbar (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Bedia, E.A. Adda (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals)
Al-Osta, Mohammed A. (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals)

Publication Information

Computers and Concrete / v.25, no.1, 2020 , pp. 37-57 More about this Journal

Abstract

This work investigates a new type of quasi-3D hyperbolic shear deformation theory is proposed in this study to discuss the statics and free vibration of functionally graded porous plates resting on elastic foundations. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. By including indeterminate integral variables, the number of unknowns and governing equations of the present theory is reduced, and therefore, it is easy to use. The present approach to plate theory takes into account both transverse shear and normal deformations and satisfies the boundary conditions of zero tensile stress on the plate surfaces. The equations of motion are derived from the Hamilton principle. Analytical solutions are obtained for a simply supported plate. Contrary to any other theory, the number of unknown functions involved in the displacement field is only five, as compared to six or more in the case of other shear and normal deformation theories. A comparison with the corresponding results is made to verify the accuracy and efficiency of the present theory. The influences of the porosity parameter, power-law index, aspect ratio, thickness ratio and the foundation parameters on bending and vibration of porous FG plate.

Keywords

static; free vibration; novel Quasi-3D plate theory; normal stress; porous FG; Kerr foundation;

Citations & Related Records

Times Cited By KSCI : 39 (Citation Analysis)

Reference
Cited By KSCI

1	Bensaid, I. (2017), "A refined nonlocal hyperbolic shear deformation beam model for bending and dynamic analysis of nanoscale beams", Adv. Nano Res., 5(2), 113-126. https://doi.org/10.12989/anr.2017.5.2.113. DOI
2	Bisen, H.B., Hirwani, C.K., Satankar, R.K., Panda, S.K., Mehar, K. and Patel, B. (2018), "Numerical study of frequency and deflection responses of natural fiber (Luffa) reinforced polymer composite and experimental validation", J. Nat. Fib., 1-15. https://doi.org/10.1080/15440478.2018.1503129.
3	Bouguenina, O., Belakhdar, K., Tounsi, A. and Adda Bedia, E.A. (2015), "Numerical analysis of FGM plates with variable thickness subjected to thermal buckling". Steel Compos. Struct., 19(3), 679-695. http://dx.doi.org/10.12989/scs.2015.19.3.679. DOI
4	Carrera, E., Brischetto, S., Cinefra, M. and Soave, M. (2011). "Effects of thickness stretching in functionally graded plates and shells", Compos.: Part B., 42, 123-133. https://doi.org/10.1016/j.compositesb.2010.10.005.
5	Carrera, E., Brishetto, S. and RRobaldo, A. (2008), "Variable kinematic model for the analysis of functionally graded material plates", AIAA J., 46, 194-203. https://doi.org/10.2514/1.32490. DOI
6	Chandra Mouli, B., Ramji, K., Kar, V.R., Panda, S.K., Lalepalli, A.K. and Pandey, H.K. (2018), "Numerical study of temperature dependent eigenfrequency responses of tilted functionally graded shallow shell structures", Struct. Eng. Mech., 68(5), 527-536. https://doi.org/10.12989/sem.2018.68.5.527. DOI
7	Cukanovic, D., Radakovic, A., Bogdanovic, G., Milanovic, M., Redzovic, H. and Dragovic, D. (2018), "New shape function for the bending analysis of functionally graded plate", Mater., 11(12), 2381. https://doi.org/10.3390/ma11122381. DOI
8	Darilmaz, K. (2015), "Vibration analysis of functionally graded material (FGM) grid systems", Steel Compos. Struct., 18(2), 395-408. https://doi.org/10.12989/scs.2015.18.2.395. DOI
9	Neves, A.M.A., Ferreira, A.J.M., Carrera, E., Cinefra, M., Roque, C.M.C., Jorge, R.M.N. and Soares, C.M. (2013), "Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique", Compos. Part B: Eng., 44(1), 657-674. https://doi.org/10.1016/j.compositesb.2012.01.089. DOI
10	Neves, A.M.A., Ferreira, A.J.M., Carrera, E., Roque, C.M.C., Cinefra, M., Jorge, R.M.N. and Soares, C.M.M. (2012), "A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates", Compos. Part B: Eng., 43(2), 711-725. https://doi.org/10.1016/j.compositesb.2011.08.009. DOI
11	Neves, A.M.A., Ferreira, A.J.M., Carrera, E., Roque, C.M.C., Cinefra, M., Jorge, R.M.N. Soares, C.M.M. (2012). "A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates", Compos. Part B., 43, 711-725. https://doi.org/10.1016/j.compositesb.2011.08.009. DOI
12	Nguyen, V.H., Nguyen, T.K., Tai, H.T. and Vo, T.P. (2014), "A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates", Compos. B, 66, 233-246. https://doi.org/10.1016/j.compositesb.2014.05.012. DOI
13	Pandey, H.K., Hirwani, C.K., Sharma, N., Katariya, P.V. and Panda, S.K. (2019), "Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses - An FEM approach and experimental verification", Adv. Nano Res., 7(6), 419-429. https://doi.org/10.12989/anr.2019.7.6.419. DOI
14	Pasternak, P. (1954), "On a new method of analysis of an elastic foundation by means of two foundation constants", Gosudarstvennoe Izdatelstvo Literaturipo Stroitelstvu i Arkhitekture, Moscow.
15	Ebrahimi, F. and Dashti, S. (2015), "Free vibration analysis of a rotating non-uniform functionally graded beam", Steel Compos. Struct., 19(5), 1279-1298. https://doi.org/10.12989/scs.2015.19.5.1279. DOI
16	Ebrahimi, F. and Habibi, S. (2016), "Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate", Steel Compos. Struct., 20(1), 205-225. http://dx.doi.org/10.12989/scs.2016.20.1.205. DOI
17	Ehyaei, J., Akbarshahi, A. and Shafiei, N. (2017), "Influence of porosity and axial preload on vibration behavior of rotating FG nanobeam", Adv. Nano Res., 5(2), 141-169. https://doi.org/10.12989/anr.2017.5.2.141. DOI
18	Fadoun, O.O. (2019), "Analysis of axisymmetric fractional vibration of an isotropic thin disc in finite deformation", Comput. Concrete, 23(5), 303-309. https://doi.org/10.12989/cac.2019.23.5.303. DOI
19	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
20	Farzam-Rad, S.A., Hassani, B. and Karamodin, A. (2017), "Isogeometric analysis of functionally graded plates using a new quasi-3D shear deformation theory based on physical neutral surface", Compos.: Part B Eng., 108, 174-189. https://doi.org/10.1016/j.compositesb.2016.09.029. DOI
21	Ferreira, A.J.M., Castro, L.M. and Bertoluzza, S. (2009), "A high order collocation method for the static and vibration analysis of composite plates using a first-order theory", Compos. Struct., 89(3), 424-432. https://doi.org/10.1016/j.compstruct.2008.09.006. DOI
22	Pradhan, K.K. and Chakraverty, S. (2015), "Free vibration of functionally graded thin elliptic plates with various edge supports", Struct. Eng. Mech., 53(2), 337-354. https://doi.org/10.12989/sem.2015.53.2.337. DOI
23	Qian, L.F. and Batra, R.C. (2005), "Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin Method", Comput. Mech., 35(3), 214-226. https://doi.org/10.1007/s00466-004-0617-6. DOI
24	Rajabi, J. and Mohammadimehr, M. (2019), "Bending analysis of a micro sandwich skew plate using extended Kantorovich method based on Eshelby-Mori-Tanaka approach", Comput. Concrete, 23(5), 361-376. https://doi.org/10.12989/cac.2019.23.5.361. DOI
25	Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., A69-A77.
26	Sahoo, S.S., Hirwani, C.K., Panda, S.K. and Sen, D. (2018), "Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: An experimental validation", Scientia Iranica, 25(4), 2218-2232.
27	Sahoo, S.S., Panda, S.K. and Singh, V.K. (2017a), "Experimental and numerical investigation of static and free vibration responses of woven glass/epoxy laminated composite plate", Proc. Inst. Mech. Eng. Part L: J. Mater.: Des. Appl., 231(5), 463-478. https://doi.org/10.1177/1464420715600191. DOI
28	Sahoo, S.S., Panda, S.K., Mahapatra T.R. and Hirwani, C.K. (2019), "Numerical analysis of transient responses of delaminated layered structure using different mid-plane theories and experimental validation", Iran. J. Sci. Technol. Tran. Mech. Eng., 43(1), 41-56. https://doi.org/10.1007/s40997-017-0111-3. DOI
29	Hadji, L., Meziane, M.A.A. and Safa, A. (2018), "Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory", Struct. Eng. Mech., 66(6), 771-781. https://doi.org/10.12989/sem.2017.61.1.049. DOI
30	Sahoo, S.S., Panda, S.K., Singh, V.K. and Mahapatra T.R. (2017b), "Numerical investigation on the nonlinear flexural behaviour of wrapped glass/epoxy laminated composite panel and experimental validation", Arch. Appl. Mech., 87, 315-333. https://doi.org/10.1007/s00419-016-1195-8. DOI
31	Sahoo, S.S., Singh, V.K. and Panda, S.K. (2016), "Nonlinear flexural analysis of shallow carbon/epoxy laminated composite curved panels: experimental and numerical investigation", J. Eng. Mech., 142(4), 04016008. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001040. DOI
32	Salari, E., Ashoori, A. and Vanini, S.A.S. (2019), "Porosity-dependent asymmetric thermal buckling of inhomogeneous annular nanoplates resting on elastic substrate", Adv. Nano Res., 7(1), 25-38. https://doi.org/10.12989/anr.2019.7.1.025. DOI
33	Shahsavari, D., Shahsavari, M., Li, L. and Karami, B. (2018), "A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation", Aerosp. Sci. Technol., 72, 134-149. https://doi.org/10.1016/j.ast.2017.11.004. DOI
34	Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., 140(2), 374-383. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665. DOI
35	Hirwani, C.K. and Panda, S.K. (2018), "Numerical and experimental validation of nonlinear deflection and stress responses of pre-damaged glass-fibre reinforced composite structure", Ocean Eng., 159, 237-252. https://doi.org/10.1016/j.oceaneng.2018.04.035. DOI
36	Hirwani, C.K., Panda, S.K. and Patel, B.K. (2018c), "Theoretical and experimental validation of nonlinear deflection and stress responses of an internally debonded layer structure using different higher-order theories", Acta Mechanica, 229(8), 3453-3473. https://doi.org/10.1007/s00707-018-2173-8. DOI
37	Hirwani, C.K., Panda, S.K., Mahapatra, S.S., Mandal, S.K., Srivastava, L. and Buragohain, M.K. (2018a), "Flexural strength of delaminated composite plate-An experimental validation", Int. J. Damage Mech., 27(2), 296-329. https://doi.org/10.1177/1056789516676515. DOI
38	Hirwani, C.K., Panda, S.K., Mahapatra, T.R., Mandal, S.K., Mahapatra, S.S. and De, A.K. (2018b), "Delamination effect on flexuralresponses of layered curved shallow shell panel-experimental and numerical analysis", Int. J. Comput. Meth., 15(4), 1850027. https://doi.org/10.1142/S0219876218500275. DOI
39	Hirwani, C.K., Patil, R.K., Panda, S.K., Mahapatra, S.S., Mandal, S.K., Srivastava, L. and Buragohain, M.K. (2016a), "Experimental and numerical analysis of free vibration of delaminated curved panel", Aerosp. Sci. Technol., 54, 353-370. https://doi.org/10.1016/j.ast.2016.05.009. DOI
40	Shimpi, R.P., Arya, H. and Naik, N.K. (2003), "A higher order displacement model for the plate analysis", J. Reinf. Plast. Compos., 22(22), 1667-1688. https://doi.org/10.1177/073168403027618. DOI
41	Srinivas, S., Joga, C.V. and Rao, A.K. (1970), "Bending, vibration and buckling of simply supported thick orthotropic rectangular plate and laminates", Int. J. Solid. Struct., 6, 1463-1481. https://doi.org/10.1016/0020-7683(70)90076-4. DOI
42	Thai, H.T. and Choi, D.H. (2011), "A refined plate theory for functionally graded plates resting on elastic foundation", Compos. Sci. Technol., 71(16), 1850-1858. https://doi.org/10.1016/j.compscitech.2011.08.016. DOI
43	Thai, H.T. and Kim, S.E. (2013), "A simple higher order shear deformation theory for bending and free vibration of functionally graded plates", Compos. Struct., 96, 165-173. https://doi.org/10.1016/j.compstruct.2012.08.025. DOI
44	Hirwani, C.K., Sahoo, S.S. and Panda, S.K. (2016b), "Effect of delamination on vibration behaviour of woven Glass/Epoxy composite plate-An experimental study", IOP Conf. Ser.: Mater. Sci. Eng., 115(1), 012010. https://doi.org/10.1088/1757-899X/115/1/012010.
45	Thai, H.T. and Kim, S.E. (2013), "A simple quasi-3D sinusoidal shear deformation theory for functionally graded plates", Compos. Struct., 99, 172-180. https://doi.org/10.1016/j.compstruct.2012.11.030. DOI
46	Thai, H.T., Vo, T.P., Bui, T.Q. and Nguyen, T.K. (2014), "A quasi-3D hyperbolic shear deformation theory for functionally graded plates", Acta Mechanica, 225(3), 951-964. https://doi.org/10.1007/s00707-013-0994-z. DOI
47	Wu, C.P. and Chiu, K.H. (2011), "RMVT-based meshless collocation and element- free Galerkin methods for the quasi-3D free analysis of multilayed composite and FGM plates", Compos. Struct., 93(5), 1433-1448. https://doi.org/10.1016/j.compstruct.2010.07.001. DOI
48	Zenkour, A.M. (2006), "Generalized shear deformation theory for bending analysis of functionally graded material", Appl. Math. Model., 30, 67-84. https://doi.org/10.1016/j.apm.2005.03.009. DOI
49	Jin, G., Su, Z., Shi, S., Ye, T. and Gao, S. (2014), "Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions", Compos. Struct., 108, 565-577. https://doi.org/10.1016/j.compstruct.2013.09.051. DOI
50	Kar, V.R. and Panda, S.K. (2015), "Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel", Steel Compos. Struct., 18(3), 693-709. https://doi.org/10.12989/scs.2015.18.3.693. DOI
51	Kar, V.R. and Panda, S.K. (2016), "Nonlinear thermomechanical behavior of functionally graded material cylindrical/hyperbolic/elliptical shell panel with temperature-dependent and temperature-independent properties", J. Press. Ves. Technol., 138(6), 061202. https://doi.org/10.1115/1.4033701. DOI
52	Karami, B. and Janghorban, M. (2019), "A new size-dependent shear deformation theory for free vibration analysis of functionally graded/anisotropic nanobeams", Thin Wall. Struct., 143, 106-227. https://doi.org/10.1016/j.tws.2019.106227
53	Keikha, R., Heidari, A., Hosseinabadi, H. and Haghighi, M.S. (2018), "Classical shell theory for instability analysis of concrete pipes conveying nanofluid", Comput. Concrete, 22(2), 161-166. https://doi.org/10.12989/cac.2018.22.2.161. DOI
54	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
55	Zenkour, A.M. (2019), "Quasi-3D refined theory functionally graded porous plates: Displacements and stresses", Appl. Math. Model. 22(1), 22-35. https://doi.org/10.24411/1683-805X-2019-11003.
56	Zenkour, A.M. and Sobhy, M. (2013), "Dynamic bending response of thermoelastic functionally graded plates resting on elastic foundations", Aerosp. Sci. Technol., 29(1), 7-17. https://doi.org/10.1016/j.ast.2013.01.003. DOI
57	Zhou, D., Cheung, Y., Au, F. and Lo, S. (2002), "Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method", Int. J. Solid. Struct., 39, 6339-6353. https://doi.org/10.1016/S0020-7683(02)00460-2. DOI
58	Abrate, S. (2008), "Functionally graded plates behave like homogeneous plates", Compos. Part B: Eng., 39(1), 151-158. https://doi.org/10.1016/j.compositesb.2007.02.026. DOI
59	Adim, B. and Daouadji, T.H. (2016), "Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory", Adv. Mater. Res., 5(4), 223-244. https://doi.org/10.12989/amr.2016.5.4.223. DOI
60	Akavci, S. and Tanrikulu, A. (2015), "Static and free vibration analysis of functionally graded plates based on a new quasi-3D and 2D shear deformation theories", Compos. Part B: Eng., 83, 203-215. https://doi.org/10.1016/j.compositesb.2015.08.043. DOI
61	Akbas, S.D. (2015), "Wave propagation of a functionally graded beam in thermal environments", Steel Compos. Struct., 19(6), 1421-1447. http://dx.doi.org/10.12989/scs.2015.19.6.1421. DOI
62	Kerr, A.D. (1964), "Elastic and viscoelastic foundation models", J. Appl. Mech., 31(3), 491-498. https://doi.org/10.1115/1.3629667. DOI
63	Kunche, M.C., Mishra, P.K., Nallala, H.B., Hirwani, C.K., Katariya, P.V., Panda, S. and Panda, S.K. (2019), "Theoretical and experimental modal responses of adhesive bonded T-joints", Wind Struct., 29(5), 361-369. https://doi.org/10.12989/was.2019.29.5.361. DOI
64	Jha, D., Kant, T. and Singh, R. (2013), "Free vibration response of functionally graded thick plates with shear and normal deformations effects", Compos. Struct., 96, 799-823. https://doi.org/10.1016/j.compstruct.2012.09.034. DOI
65	Laoufi, I., Ameur, A., Zidi, M., Adda Bedia, E.A. and Bousahla, A.A. (2016), "Mechanical and hygro-thermal behaviour of functionally graded plates using a hyperbolic shear deformation theory", Steel Compos. Struct., 20(4), 889-912. https://doi.org/10.12989/scs.2016.20.4.889. DOI
66	Liu, Y. (2011), "A refined shear deformation plate theory", Int. J. Comput. Meth. Eng. Sci. Mech., 12(3), 141-149. DOI
67	Mantari, J., Granados, E., Hinostroza, M. and Soares, C.G. (2014), "Modelling advanced composite plates resting on elastic foundation by using a quasi-3D hybrid type HSDT", Compos. Struct., 118, 455-471. https://doi.org/10.1016/j.compstruct.2014.07.039. DOI
68	Al-Osta, M.A. (2019), "Shear behaviour of RC beams retrofitted using UHPFRC panels epoxied to the sides", Comput. Concrete, 24(1), 37-49. https://doi.org/10.12989/cac.2019.24.1.037. DOI
69	Amar, L.H.H., Kaci, A. and Tounsi, A. (2017), "On the size-dependent behavior of functionally graded micro-beams with porosities", Struct. Eng. Mech., 64(5), 527-541. https://doi.org/10.12989/sem.2017.64.5.527. DOI
70	Amar, L.H.H., Kaci, A., Yeghnem, R. and Tounsi, A. (2018), "A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate", Steel Compos. Struct., 26(1), 89-102. https://doi.org/10.12989/scs.2018.26.1.089. DOI
71	Arefi M. (2015), "Elastic solution of a curved beam made of functionally graded materials with different cross sections", Steel Compos. Struct., 18(3), 659-672. http://dx.doi.org/10.12989/scs.2015.18.3.659. DOI
72	Arefi, M. (2015), "The effect of different functionalities of FGM and FGPM layers on free vibration analysis of the FG circular plates integrated with piezoelectric layers", Smart Struct. Syst., 15(5), 1345-1362. http://dx.doi.org/10.12989/sss.2015.15.5.1345. DOI
73	Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603. DOI
74	Baferani, A.H., Saidi, A. and Ehteshami, H. (2011), "Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation", Compos. Struct., 93(7), 1842-1853. https://doi.org/10.1016/j.compstruct.2011.01.020. DOI
75	Belkacem, A., Tahar, H.D., Abderrezak, R., Amine, B. M., Mohamed, Z. and Boussad, A. (2018), "Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions", Struct. Eng. Mech., 66(6), 761-769. https://doi.org/10.12989/sem.2018.66.6.761. DOI
76	Mantari, J.L, Oktem, A.S. and Soares, O.G. (2012), "Bending response of functionally graded plates by using a new higher order shear deformation theory", Compos. Struct., 94, 714-723. https://doi.org/10.1016/j.compstruct.2011.09.007. DOI
77	Mehar, K. and Panda, S.K. (2018), "Elastic bending and stress analysis of carbon nanotube-reinforced composite plate: Experimental, numerical, and simulation", Adv. Polym. Technol., 37(6), 1643-1657. https://doi.org/10.1002/adv.21821. DOI
78	Mehar, K. and Panda, S.K. (2019), "Theoretical deflection analysis of multi-walled carbon nanotube reinforced sandwich panel and experimental verification", Compos. Part B: Eng., 167, 317-328. https://doi.org/10.1016/j.compositesb.2018.12.058. DOI
79	Mehar, K., Panda, S.K. and Mahapatra, T.R. (2017), "Theoretical and experimental investigation of vibration characteristic of carbon nanotube reinforced polymer composite structure", Int. J. Mech. Sci., 133, 319-329. https://doi.org/10.1016/j.ijmecsci.2017.08.057. DOI
80	Mehar, K., Panda, S.K. and Mahapatra, T.R. (2019), "Large deformation bending responses of nanotube-reinforced polymer composite panel structure: Numerical and experimental analyses", Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng., 233(5), 1695-1704. https://doi.org/10.1177/0954410018761192. DOI
81	Mindlin, R.D. (1951), "Thickness-shear and flexural vibrations of crystal plates", J. Appl. Phys., 22(3), 316-323. https://doi.org/10.1063/1.1699948. DOI
82	Moradi-Dastjerdi, R. (2016), "Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube". Struct. Eng. Mech., 57(3), 441-456. https://doi.org/10.12989/sem.2016.57.3.441. DOI

	(2020) Mathematical problems in engineering Analysis of Rotary Vibration of Rigid Friction Pipe Pile in Unsaturated Soil / 2020 , 1
	(2020) Mathematical problems in engineering A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory / 2020 , 1
1	(2020) Geomechanics & engineering Effect of the rotation on the thermal stress wave propagation in non-homogeneous viscoelastic body / 21 (1) , 1
4	(2020) Advances in concrete construction Analysis of post-buckling of higher-order graphene oxide reinforced concrete plates with geometrical imperfection / 9 (4) , 397
4	(2020) Computers & concrete Finite element based post-buckling analysis of refined graphene oxide reinforced concrete beams with geometrical imperfection / 25 (4) , 283
11	(2020) Polymer composites Multiphysical theoretical prediction and experimental verification of vibroacoustic responses of fruit fiber‐reinforced polymeric composite / 41 (11) , 4461
5	(2020) Computers & concrete Analysis of orthotropic plates by the two-dimensional generalized FIT method / 26 (5) , 421
6	(2020) Membrane and water treatment A mechanical model to investigate Aedesaegypti mosquito bite using new techniques and its applications / 11 (6) , 399
4	(2020) Advances in materials research : AMR Predictions of the maximum plate end stresses of imperfect FRP strengthened RC beams: study and analysis / 9 (4) , 265
6	(2020) Coupled systems mechanics Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions / 9 (6) , 575
	(2020) Shock and vibration New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments / 2021 , 1
	(2020) Shock and vibration In-Line and Cross-Flow Coupling Vibration Response Characteristics of a Marine Viscoelastic Riser Subjected to Two-Phase Internal Flow / 2021 , 1
	(2021) Mathematical problems in engineering On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation / 2021 , 1
	(2020) Mathematical problems in engineering Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection / 2021 , 1
	(2020) Mathematical problems in engineering Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments / 2021 , 1
	(2021) Mathematical problems in engineering A Refined Model for Analysis of Beams on Two-Parameter Foundations by Iterative Method / 2021 , 1
1	(2020) Structural engineering and mechanics : An international journal Thermal frequency analysis of FG sandwich structure under variable temperature loading / 77 (1) , 57
1	(2020) Advances in nano research Size dependent vibration of embedded functionally graded nanoplate in hygrothermal environment by Rayleigh-Ritz method / 10 (1) , 25
1	(2021) Advances in nano research On thermally induced instability of FG-CNTRC cylindrical panels / 10 (1) , 43
2	(2021) Structural engineering and mechanics : An international journal Numerical and experimental investigation for monitoring and prediction of performance in the soft actuator / 77 (2) , 167
2	(2020) Structural engineering and mechanics : An international journal Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity / 77 (2) , 217
3	(2020) Structural engineering and mechanics : An international journal Orthotropic magneto-thermoelastic solid with higher order dual-phase-lag model in frequency domain / 77 (3) , 315
2	(2020) Advances in nano research Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates / 10 (2) , 151
2	(2020) Advances in nano research Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell / 10 (2) , 175
1	(2020) Coupled systems mechanics Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity / 10 (1) , 61
3	(2020) Advances in nano research Elastic wave phenomenon of nanobeams including thickness stretching effect / 10 (3) , 271
3	(2020) Advances in nano research Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory / 10 (3) , 281
3	(2021) Computers & concrete Dynamic response of functionally graded plates with a porous middle layer under time-dependent load / 27 (3) , 269
1	(2021) Steel & Composite structures : an international journal Exact third-order static and free vibration analyses of functionally graded porous curved beam / 39 (1) , 1
1	(2021) Structural engineering and mechanics : An international journal Electromagnetic field and initial stress on a porothermoelastic medium / 78 (1) , 1
4	(2020) Computers & concrete Computer simulation for stability analysis of the viscoelastic annular plate with reinforced concrete face sheets / 27 (4) , 369
2	(2021) Transactions of the Canadian Society for Mechanical Engineering Stress analysis of a pre-stretched orthotropic plate with finite dimensions / 45 (2) , 346
1	(2020) Advances in nano research Temperature jump and concentration slip effects on bioconvection past a vertical porous plate in the existence of nanoparticles and gyrotactic microorganism with inclined MHD / 11 (1) , 27
1	(2021) Advances in nano research The effects of ring and fraction laws: Vibration of rotating isotropic cylindrical shell / 11 (1) , 19
8	(2020) Engineering computations Surface wave scattering analysis in an initially stressed stratified media / 38 (8) , 3153
4	(2020) Structural engineering and mechanics : An international journal Free vibration of multi-cracked beams / 79 (4) , 441
12	(2020) Materials research express Compressive mechanical behavior and model of composite elastic-porous metal materials / 8 (12) , 126518
	(2020) Composite structures Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates / 279 , 114795