Thermoelastic analysis of FG-CNT reinforced shear deformable composite plate under various loadings. (English) Zbl 1404.74093
Summary: In the present paper, the flexural behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plate is investigated under the combined thermo-mechanical load. The carbon nanotube reinforced composite plate has been modeled mathematically based on the higher order shear deformation theory. The governing differential equation of the FG-CNTRC plate is obtained using the variational method and discretized using the suitable isoparametric finite element steps and solved numerically through a computer code developed in MATLAB environment. The material properties of the carbon nanotube reinforced composite plate are assumed to be temperature dependent and graded in the thickness direction using different grading rules. The validity and the convergence behavior of the presently proposed numerical model have been checked by comparing the responses with results available in published literature and subsequent simulation model developed in ANSYS. The effect of various design parameters (aspect ratios, support conditions, thickness ratios, volume fractions, temperature load and types of grading) on the static, stress and deformation behavior of the FG-CNTRC plate are examined under the influence of different types of loading (uniformly distributed load, sinusoidally distributed load, uniformly distributed line load, sinusoidally distributed line load and point load) and discussed in detail.
References:
| [1] | Alibeigloo, A. [2013] “ Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity,” Compos. Struct.95, 612-622. |
| [2] | Alibeigloo, A. [2014] “ Free vibration analysis of functionally graded carbon nanotube reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity,” Eur. J. Mech. A/Solids44, 104-115. · Zbl 1406.74277 |
| [3] | Alibeigloo, A. and Liew, K. M. [2013] “ Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity,” Compos. Struct.106, 873-881. |
| [4] | Ayatollahia, M. R., Shadlou, S. and Shokrieh, M. M. [2011] “ Multiscale modeling for mechanical properties of carbon nanotube reinforced nanocomposites subjected to different types of loading,” Compos. Struct.93, 2250-2259. |
| [5] | Bian, Z. G., Ying, J., Chen, W. Q. and Ding, H. J. [2006] “ Bending and free vibration analysis of a smart functionally graded plate,” Struct. Eng. Mech.23, 97-113. |
| [6] | Bousahla, A. A., Houari, M. S. A., Tounsi, A. and Bedia, E. A. A. [2014] “ A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates,” Int. J. Comput. Methods11, 1350082. · Zbl 1359.74084 |
| [7] | Chen, X. L. and Liu, Y. J. [2004] “ Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites,” Comput. Mater. Sci.29, 1-11. |
| [8] | Cook, R. D., Malkus, D. S., Plesha, M. E. and Witt, R. J. [2004] Concepts and Applications of Finite Element Analysis, 4th Edition (John Wiley & Sons Pvt. Ltd, Singapore). |
| [9] | Formica, G., Lacarbonara, W. and Alessi, R. [2010] “ Vibrations of carbon nanotube-reinforced composites,” J. Sound Vib.329, 1875-1889. |
| [10] | Han, Y. and Elliott, J. [2007] “ Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites,” Comput. Mater. Sci.39, 315-323. |
| [11] | Heydarpour, Y., Aghdam, M. M. and Malekzadeh, P. [2014] “ Free vibration analysis of rotating functionally graded carbon nanotube reinforced composite truncated conical shells,” Compos. Struct.117, 187-200. · Zbl 1383.74034 |
| [12] | Janghorbana, M. and Zare, A. [2011] “ Free vibration analysis of functionally graded carbon nanotubes with variable thickness by differential quadrature method,” Physica E43, 1602-1604. |
| [13] | Kamarian, S., Salim, M., Dimitri, R. and Tornabene, F. [2016] “ Free vibration analysis of conical shells reinforced with agglomerated carbon nanotubes,” Int. J. Mech. Sci.108-109, 157-165. |
| [14] | Ke, L. L., Yang, J. and Kitipornchai, S. [2013] “ Dynamic stability of functionally graded carbon nanotube-reinforced composite beams,” Mech. Adv. Mater. Struct.20, 28-37. |
| [15] | Khalfi, Y., Houari, M. S. A. and Tounsi, A. [2014] “ A refined and simple shear deformation theory for thermal buckling of solar functionally graded plates on elastic foundation,” Int. J. Comput. Methods11, 1350077. · Zbl 1359.74095 |
| [16] | Lei, Z. X., Liew, K. M. and Yu, J. L. (2013a) “ Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment,” Compos. Struct.106, 128-138. |
| [17] | Lei, Z. X., Liew, K. M. and Yu, J. L. (2013c) “ Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method,” Compos. Struct.98, 160-168. · Zbl 1352.74165 |
| [18] | Lei, Z. X., Yu, J. L. and Liew, K. M. (2013b) “ Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panels,” Int. J. Mater. Sci. Eng.1, 36-40. |
| [19] | Lei, Z. X., Zhang, L. W., Liew, K. M. and Yu, J. L. [2014] “ Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method,” Compos. Struct.113, 328-338. |
| [20] | Lin, F. and Xiang, Y. [2014] “ Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories,” Appl. Math. Model.38, 3741-3754. · Zbl 1428.74125 |
| [21] | Liu, Y. J. and Chen, X. L. [2003] “ Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element,” Mech. Mater.35, 69-81. |
| [22] | Mehrabadi, S. J. and Aragh, B. S. [2014] “ Stress analysis of functionally graded open cylindrical shell reinforced by agglomerated carbon nanotubes,” Thin-Walled Struct.80, 130-141. |
| [23] | Mehrabadi, S. J., Aragh, B. S., Khoshkhahesh, V. and Taherpour, A. [2012] “ Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes,” Compos. Part B Eng.43, 2031-2040. |
| [24] | Mohammadpour, E., Awang, M., Kakooei, S. and Akil, H. M. [2014] “ Modeling the tensile stress-strain response of carbon nanotube/polypropylene nanocomposites using nonlinear representative volume element,” Mater. Des.58, 36-42. |
| [25] | Murmu, T. and Pradhan, S. C. [2009] “ Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM,” Physica E41, 1232-1239. |
| [26] | Panigrahi, S. K. and Zhang, Y. X. [2010] “ Nonlinear finite element analyses of tee joints of laminated composites,” IOP Conf. Series: Mater. Sci. Eng.10, 1-7. |
| [27] | Reddy, J. N. [2004] Mechanics of laminated composite- Plates and shells-Theory and analysis, 2nd Edition (CRC press, Boca Raton, FL). · Zbl 1075.74001 |
| [28] | Rokni, H., Milani, A. S. and Seethaler, R. J. [2015] “ Size-dependent vibration behaviour of functionally graded CNT-Reinforced polymer microcantilevers: Modeling and optimization,” Eur. J. Mech. A/Solids49, 26-34. · Zbl 1406.74321 |
| [29] | Shen, H. S. [2009] “ Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments,” Compos. Struct.91, 9-19. |
| [30] | Shen, H. S. [2012] “ Thermal buckling and postbuckling behaviour of functionally graded carbon nanotube-reinforced composite cylindrical shells,” Compos. Part B Eng.43, 1030-1038. |
| [31] | Shen, H. S. and Xiang, Y. [2014] “ Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments,” Compos. Struct.111, 291-300. |
| [32] | Shen, H. S. and Zhang, C. L. [2010] “ Thermal buckling and post buckling behaviour of functionally graded carbon nanotube-reinforced composite plates,” Mater. Des.31, 3403-3411. |
| [33] | Shen, H. S. and Zhu, Z. H. [2012] “ Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations,” Eur. J. Mech. A/Solids35, 10-21. · Zbl 1349.74146 |
| [34] | Szekrenyes, A. [2014] “ Analysis of classical and first-order shear deformable cracked orthotropic plates,” J. Compos. Mater.48, 1441-1457. |
| [35] | Tornabene, F., Fantuzzi, N., Bacciocchi, M. and Viola, E. [2016] “ Effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly curved shells,” Compos. Part B Eng.89, 187-218. |
| [36] | Vodenitcharova, T. and Zhang, L. C. [2006] “ Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube,” Int. J. Solids Struct.43, 3006-3024. · Zbl 1120.74498 |
| [37] | Wang, Z. X. and Shen, H. S. [2012] “ Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments,” Nonlinear Dyn.70, 735-754. |
| [38] | Wattanasakulpong, N., Prusty, B. G. and Kelly, D. W. [2011] “ Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams,” Int. J. Mech. Sci.53, 734-743. |
| [39] | Yas, M. H. and Samadi, N. [2012] “ Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation,” Int. J. Pres. Ves. Pip.98, 119-128. |
| [40] | Zenkour, A. M. [2005] “ A comprehensive analysis of functionally graded sandwich plates. Part 1 — Deflection and Stresses,” Int. J. Solids Struct.42, 5224-5242. · Zbl 1119.74471 |
| [41] | Zhang, L. W., Lei, Z. X. and Liew, K. M. [2015] “ Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method,” Compos. Struct.120, 189-199. |
| [42] | Zhang, L. W., Lei, Z. X., Liew, K. M. and Yu, J. L. [2014] “ Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels,” Compos. Struct.111, 205-212. |
| [43] | Zhu, P., Lei, Z. X. and Liew, K. M. [2012] “ Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory,” Compos. Struct.94, 1450-1460. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
