References
- Anderson, T.L. (2005), Fracture Mechanics: Fundamental and applications, Third Edition. London, CRC Press, Taylor and Francis Group.
- Bakhadda, B., Bachir Bouiadjra, M., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., Int. J., 27(5), 311-324. https://doi.org/10.12989/was.2018.27.5.311
- Banerjee, J.R. and Guo, S. (2009), "On the dynamics of a cracked beam", Proceedings of the 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Palm Springs, CA, USA, May, 2429.
- Benveniste, Y. (1987), "A new approach to the application of Mori-Tanaka's theory in composite materials", Mech. Mater., 6(2), 147-157. https://doi.org/10.1016/0167-6636(87)90005-6
- Borvik, T., Hopperstad, O.S. and Pedersen, K.O. (2010), "Quasibrittle fracture during structural impact of AA7075-T651 aluminium plates", Int. J. Impact Eng., 37(5), 537-551. https://doi.org/10.1016/j.ijimpeng.2009.11.001
- Bouadi, A., Bousahla, A.A., Houari, M.S.A., Heireche, H. and Tounsi, A. (2018), "A new nonlocal HSDT for analysis of stability of single layer graphene sheet", Adv. Nano Res., Int. J., 6(2), 147-162. https://doi.org/10.12989/anr.2018.6.2.147
- Chen, L.H., Duan, J.W., Sun, Y. and Li, J. (2013), "The study of the Vibration Characteristics of the Cantilever Beam with a Surface Crack", Appl. Mech. Mater., 394(C), 121-127. https://doi.org/10.4028/www.scientific.net/AMM.394.121
- Chondros, T., Dimarogonas, A. and Yao, J. (1998), "A continuous cracked beam vibration theory", J. Sound Vib., 215(1), 17-34. https://doi.org/10.1006/jsvi.1998.1640
- Doghri, I. and Ouaar, A. (2003), "Homogenization of two-phase elasto-plastic composite materials and structures: Study of tangent operators, cyclic plasticity and numerical algorithms", Int. J. Solids Struct., 40(7), 1681-1712. https://doi.org/10.1016/S0020-7683(03)00013-1
- Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using (FSDT)", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117
- Duan, F., Liu, J., Wang, G. and Yu, Z. (2018), "Dynamic behaviour of aluminium alloy plates with surface cracks subjected to repeated impacts", Ships Offshore Struct., 14(5), 478-491. https://doi.org/10.1080/17445302.2018.1507088
- Dumont, D., Deschamps, A. and Brechet, Y. (2003), "On the relationship between microstructure, strength and toughness in AA7050 aluminum alloy", Mater. Sci. Eng., 356(2), 326-336. https://doi.org/10.1016/S0921-5093(03)00145-X
- Eatemadi, A., Daraee, H., Karimkhanloo, H., Kouhi, M., Zarghami, N., Akbarzadeh, A., Abasi, M., Hanifehpour, Y. and Joo, S.W. (2014), "Carbon nanotubes: properties, synthesis, purification, and medical applications", Nanoscale Res. Lett., 9, 393. https://doi.org/10.1186/1556-276X-9-393
- Ebrahimi, F. and Mahmoodi, M. (2018), "Vibration analysis of carbon nanotubes with multiple cracks in thermal environment", Adv. Nano Res., Int. J., 6(1), 57-80. https://doi.org/10.12989/anr.2018.6.1.057
- Friebel, C., Doghri, I. and Legat, V. (2006), "General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions", Int. J. Solids Struct., 43(9), 2513-2541. https://doi.org/10.1016/j.ijsolstr.2005.06.035
- Gudmundson, P. (1982), "Eigenfrequency changes of structures due to cracks, notches or other geometrical changes", J. Mech. Phys. Solids, 30(5), 339-353. https://doi.org/10.1016/0022-5096(82)90004-7
- Hajmohammad, M.H., Zarei, M.S., Farrokhian, A. and Kolahchi, R. (2018), "A layerwise theory for buckling analysis of truncated conical shells reinforced by CNTs and carbon fibers integrated with piezoelectric layers in hygrothermal environment", Adv. Nano Res, Int. J., 6(4), 299-321. https://doi.org/10.12989/anr.2018.6.4.299
- Han, N.M., Zhang, X.M., Liu, S.D., Ke, B. and Xin, X. (2011), "Effects of pre-stretching and aging on the strength and fracture toughness of aluminium alloy 7050", Mater. Sci. Eng. A, 528(10-11), 3714-3721. https://doi.org/10.1016/j.msea.2011.01.068
- Heshmati, M. and Yas, M.H. (2013), "Free vibration analysis of functionally graded CNT-reinforced nanocomposite beam using Eshelby-Mori-Tanaka approach", J. Mech. Sci. Technol., 27(11), 3403-3408. https://doi.org/10.1007/s12206-013-0862-8
- Karami, B., Shahsavari, D., Janghorban, M. and Tounsi, A. (2019), "Resonance behavior of functionally graded polymer composite nanoplates reinforced with grapheme nanoplatelets", Int. J. Mech. Sci., 156, 94-105. https://doi.org/10.1016/j.ijmecsci.2019.03.036
- Kim, J. and Stubbs, N. (2003), "Crack detection in beam-type structures using frequency data", J. Sound Vib., 259(1), 145-160. https://doi.org/10.1006/jsvi.2002.5132
- Kisa, M., Brandon, J. and Topcu, M. (1998), "Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods", Comput. Struct., 67(4), 215-223. https://doi.org/10.1016/S0045-7949(98)00056-X
- Liu, R.P., Dong, Z.J. and Pan, Y.M. (2006), "Solidification crack susceptibility of aluminum alloy weld metals", Transact. Nonferrous Metals Soc. China, 16(1), 110-116. https://doi.org/10.1016/S1003-6326(06)60019-8
- Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials withmisfitting inclusions", Acta Metallurgica, 21, 571-574. https://doi.org/10.1016/0001-6160(73)90064-3
- Mostafavi, M., Smith, D.J. and Pavier, M.J. (2011), "Fracture of aluminium alloy 2024 under biaxial and triaxial loading", Eng. Fract. Mech., 78(8), 1705-1716. https://doi.org/10.1016/j.engfracmech.2010.11.006
- Nejati, M., Eslampanah, A. and Najafizadeh, M.H. (2016), "Buckling and vibration analysis of functionally graded carbon nanotube-reinforced beam under axial load", Int. Appl. Mech., 8(1), 1650008. https://doi.org/10.1142/S1758825116500083
- Pedersen, K.O., Borvik, T. and Hopperstad, O.S. (2011), "Fracture mechanisms of aluminium alloy AA7075-T651 under various loading conditions", Mater. Des., 32(1), 97-107. https://doi.org/10.1016/j.matdes.2010.06.029
- Rahbar-Ranji, A. and Zarookian, A. (2015), "Ultimate strength of stiffened plates with a transverse crack under uniaxial compression", Ships Offshore Struct., 10(4), 416-425. https://doi.org/10.1080/17445302.2014.942078
- Rakrak, K., Zidour, M., Heireche, H., Bousahla, A.A. and Chemi, A. (2019), "Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory", Adv. Nano Res., Int. J., 4(1), 31-44. https://doi.org/10.12989/anr.2016.4.1.031
- Ravi, K. (2018), "Investigation on mechanical vibration of double-walled carbon nanotubes with inter-tube Van der waals forces", Adv. Nano Res., Int. J., 6(2), 135-145. https://doi.org/10.12989/anr.2018.6.2.135
- Selmi, A. and Bisharat, A. (2018), "Free vibration of functionally graded SWNT reinforced aluminum alloy beam", J. Vibroeng., 20(5), 2151-2164. https://doi.org/10.21595/jve.2018.19445
- Selmi, A., Friebel, C., Doghri, I. and Hassis, H. (2007), "Prediction of the elastic properties of single walled carbon nanotube reinforced polymers: A comparative study of several micromechanical models", Compos. Sci. Technol., 67(10), 2071-2084. https://doi.org/10.1016/j.compscitech.2006.11.016
- Seifi, R. and Khoda-yari, N. (2011), "Experimental and numerical studies on buckling of cracked thin-plates under full and partial compression edge loading", Thin-wall. Struct., 49(12), 1504-1516. https://doi.org/10.1016/j.tws.2011.07.010
- Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., Int. J., 7(2), 89-98. https://doi.org/10.12989/anr.2019.7.2.089
- Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
- Shenas, A.G., Malekzadeh, P. and Ziaee, S. (2017), "Vibration analysis of pre-twisted functionally graded carbon nanotube reinforced composite beams in thermal environment", Compos. Struct., 162, 325-340. https://doi.org/10.1016/j.compstruct.2016.12.009
- Shi, X.H., Zhang, J. and Soares, C.G. (2017), "Experimental study on collapse of cracked stiffened plate with initial imperfections under compression", Thin-wall. Struct., 114(C), 39-51. https://doi.org/10.1016/j.tws.2016.12.028
- Xing, M.Z., Wang, Y.G. and Jiang, Z.X. (2013), "Dynamic fracture behaviors of selected aluminum alloys under three-point bending", Defence Technol., 9(4), 193-200. https://doi.org/10.1016/j.dt.2013.11.002
- Yas, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Vessels Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012
- Zainuddin, H.B. and Ali, M.B. (2016), "Study of wheel rim impact test using finite element analysis", Proceedings of Mechanical Engineering Research Day, 141.
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