پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 127 |
| تعداد شمارهها | 7,196 |
| تعداد مقالات | 77,227 |
| تعداد مشاهده مقاله | 157,217,953 |
| تعداد دریافت فایل اصل مقاله | 118,403,663 |
Dynamic response of porosity-dependent FG nanoplate based on nonlocal strain-stress gradient theory | ||
| Journal of Computational Applied Mechanics | ||
| دوره 57، شماره 2، تیر 2026، صفحه 348-361 اصل مقاله (1.13 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2026.410501.1775 | ||
| نویسندگان | ||
| Hela D El-Shahrany1؛ Ashraf M. Zenkour* 2، 3 | ||
| 1Department of Mathematics, Faculty of Science, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia | ||
| 2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia | ||
| 3Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt | ||
| چکیده | ||
| This study investigates the free vibration behavior of porous functionally graded plates (PFGPs) within the context of nonlocal strain–gradient elasticity theory. Two different porosity distribution types are examined, and the thickness-wise variation of material properties is modeled by means of an enhanced power-law scheme. The kinematic description is formulated based on a refined higher-order shear deformation plate theory that inherently enforces zero transverse shear stresses at the plate surfaces, thus evading the usage of shear correction factors. The governing equations of motion for the nonlocal model are derived via Hamilton’s principle and explained analytically to get the natural frequencies of the PFGPs. A detailed parametric analysis is performed to assess the effects of the nonlocal parameter, internal material length scale, power-law exponent, wave number, and porosity parameters on the vibrational characteristics. The validity and effectiveness of the current preparation are confirmed through comparisons with existing results obtainable in the literature. | ||
| کلیدواژهها | ||
| Functionally graded plate؛ porosity؛ nonlocal gradient theory؛ higher-order theory, shear deformations | ||
| مراجع | ||
|
[1] J. Reddy, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering - INT J NUMER METHOD ENG, Vol. 47, pp. 663-684, 01/10, 2000.
[2] J. Reddy, J. I. Barbosa, On vibration suppression of magnetostrictive beams, Smart Materials and Structures, Vol. 9, pp. 49, 02/22, 2000.
[3] J. Reddy, C. Wang, G. Lim, K. Ng, Bending solutions of Levinson beams and plates in terms of the classical Theories, International Journal of Solids and Structures - INT J SOLIDS STRUCT, Vol. 38, pp. 4701-4720, 06/01, 2001.
[4] M. Touratier, An efficient standard plate theory, International Journal of Engineering Science, Vol. 29, No. 8, pp. 901-916, 1991/01/01/, 1991.
[5] J. Mantari, A. Oktem, C. G. Soares, A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates, International Journal of Solids and Structures, Vol. 49, No. 1, pp. 43-53, 2012.
[6] A. M. A. Neves, A. J. M. Ferreira, E. Carrera, C. M. C. Roque, M. Cinefra, R. M. N. Jorge, C. M. M. Soares, A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates, Composites Part B: Engineering, Vol. 43, No. 2, pp. 711-725, 2012/03/01/, 2012.
[7] C. Abdelbaki, Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations, Frattura ed Integrità Strutturale, Vol. 14, pp. 115-126, 12/04, 2019.
[8] A. M. Zenkour, A simple four-unknown refined theory for bending analysis of functionally graded plates, Applied Mathematical Modelling, Vol. 37, No. 20, pp. 9041-9051, 2013/11/01/, 2013.
[9] D. Shahsavari, M. Shahsavari, L. Li, B. Karami, A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation, Aerospace Science and Technology, Vol. 72, pp. 134-149, 2018/01/01/, 2018.
[10] A. Garg, T. Mukhopadhyay, M. O. Belarbi, H. D. Chalak, A. Singh, A. M. Zenkour, On accurately capturing the through-thickness variation of transverse shear and normal stresses for composite beams using FSDT coupled with GPR, Composite Structures, Vol. 305, pp. 116551, 2023/02/01/, 2023.
[11] S. S. Akavci, A. H. Tanrikulu, Static and free vibration analysis of functionally graded plates based on a new quasi-3D and 2D shear deformation theories, Composites Part B: Engineering, Vol. 83, pp. 203-215, 2015/12/15/, 2015.
[12] Y. S. Joshan, S. Santapuri, N. Grover, Analysis of laminated piezoelectric composite plates using an inverse hyperbolic coupled plate theory, Applied Mathematical Modelling, Vol. 82, pp. 359-378, 2020/06/01/, 2020.
[13] A. M. A. Neves, A. J. M. Ferreira, E. Carrera, M. Cinefra, C. M. C. Roque, R. M. N. Jorge, C. M. M. Soares, A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates, Composite Structures, Vol. 94, No. 5, pp. 1814-1825, 2012/04/01/, 2012.
[14] Q.-H. Pham, V. Ke Tran, T. Thanh Tran, V. Chinh Nguyen, A. M. Zenkour, Nonlocal higher-order finite element modeling for vibration analysis of viscoelastic orthotropic nanoplates resting on variable viscoelastic foundation, Composite Structures, Vol. 318, pp. 117067, 2023/08/15/, 2023.
[15] S. Sarangan, B. N. Singh, Higher-order closed-form solution for the analysis of laminated composite and sandwich plates based on new shear deformation theories, Composite Structures, Vol. 138, pp. 391-403, 2016/03/15/, 2016.
[16] K. P. Soldatos, A transverse shear deformation theory for homogeneous monoclinic plates, Acta Mechanica, Vol. 94, No. 3, pp. 195-220, 1992/09/01, 1992.
[17] A. M. Zenkour, H. D. El-Shahrany, Quasi-3D theory for the vibration and deflection of a magnetostrictive composite plate resting on a viscoelastic medium, Composite Structures, Vol. 269, pp. 114028, 2021/08/01/, 2021.
[18] M. Malikan, V. A. Eremeyev, A new hyperbolic-polynomial higher-order elasticity theory for mechanics of thick FGM beams with imperfection in the material composition, Composite Structures, Vol. 249, pp. 112486, 2020/10/01/, 2020.
[19] Y. Khalfi, A. Bouchikhi, Y. Bellebna, Mechanical Stability Investigation of Advanced Composite Plates Resting on Elastic Foundations Using a New Four-Unknown Refined Theory, Frattura ed Integrità Strutturale, Vol. 13, pp. 208-221, 03/05, 2019.
[20] M. Aydogdu, A new shear deformation theory for laminated composite plates, Composite Structures - COMPOS STRUCT, Vol. 89, pp. 94-101, 06/01, 2009.
[21] H.-T. Thai, D.-H. Choi, Improved refined plate theory accounting for effect of thickness stretching in functionally graded plates, Composites Part B: Engineering, Vol. 56, pp. 705-716, 2014/01/01/, 2014.
[22] M. Bouazza, A. Zenkour, Hygrothermal environmental effect on free vibration of laminated plates using nth-order shear deformation theory, Waves in Random and Complex Media, Vol. 34, pp. 1-17, 04/05, 2021.
[23] S. Merdaci, A. H. Mostefa, Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory, Fracture and Structural Integrity, Vol. 14, No. 51, pp. 199-214, 11/25, 2019.
[24] P. V. Vinh, A. M. Zenkour, Vibration analysis of functionally graded sandwich porous plates with arbitrary boundary conditions: a new general viscoelastic Winkler–Pasternak foundation approach, Eng. with Comput., Vol. 41, No. 6, pp. 4125–4153, 2025.
[25] N. Hebbar, I. Hebbar, D. Ouinas, M. Bourada, Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory, Frattura ed Integrità Strutturale, Vol. 14, pp. 230-246, 03/03, 2020.
[26] M. Rabehi, R. Billel, M. Meradjah, A. Zenkour, Porosity Investigations on Dynamic Responses of FG Plates via a Modified Quasi-3D Shear Deformation Theory, Journal of Vibration Engineering & Technologies, Vol. 141, 01/22, 2025.
[27] H. D. El-Shahrany, Porosity-Dependent Frequency Analysis of Bidirectional Porous Functionally Graded Plates via Nonlocal Elasticity Theory, Mathematics, Vol. 13, No. 16, pp. 2688, 2025.
[28] l. thanh cuong, K. Nguyen, N. Nguyen, S. Khatir, H. Nguyen-Xuan, M. Abdel Wahab, A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA, Composite Structures, Vol. 31 October 2020, 10/31, 2020.
[29] M. Slimane, A. Hadj Mostefa, O. Khayal, Natural frequencies of FG plates with two new distribution of porosity, International Journal of Applied Mechanics and Engineering, Vol. 26, pp. 128-142, 06/27, 2021.
[30] M. Kenanda, F. Hammadi, Z. Belabed, M. Meliani, Free vibration analysis of porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory, Frattura ed Integrità Strutturale, Vol. 64, pp. 266-282, 2023.
[31] S. Hosseini-Hashemi, M. Fadaee, S. R. Atashipour, A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates, International Journal of Mechanical Sciences, Vol. 53, No. 1, pp. 11-22, 2011/01/01/, 2011.
[32] F. Ebrahimi, M. Barati, A. Dabbagh, A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates, International Journal of Engineering Science, Vol. 107, pp. 169-182, 10/01, 2016.
[33] F. Ebrahimi, A. Dabbagh, Viscoelastic wave propagation analysis of axially motivated double-layered graphene sheets via nonlocal strain gradient theory, Waves in Random and Complex Media, Vol. 30, pp. 1-20, 07/02, 2018.
[34] P. Hoa, N. Hoàng Thịnh, T. Ke, A. Zenkour, Hygro-thermo-mechanical vibration analysis of functionally graded porous curved nanobeams resting on elastic foundations, Waves in Random and Complex Media, pp. 1-32, 02/16, 2023.
[35] H. El-Shahrany, A. Zenkour, A nonlocal vibration suppression for a multilayered magneto-viscoelastic nanobeam on a three-parameter-type medium, Mechanics of Advanced Materials and Structures, Vol. 31, pp. 1-12, 11/22, 2023. | ||
|
آمار تعداد مشاهده مقاله: 133 تعداد دریافت فایل اصل مقاله: 173 |
||
سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب