علوم و فناوری کامپوزیت

علوم و فناوری کامپوزیت

تحلیل استاتیکی نانوپوسته های کامپوزیتی با استفاده از تئوری گرادیان کرنشی مرتبه بالاتر در محیط حرارتی-رطوبتی

نوع مقاله : مقاله پژوهشی

نویسندگان
1 دانشجوی کارشناسی ارشد، مهندسی مکانیک، دانشگاه آزاد داریون، داریون.
2 استادیار، مهندسی مکانیک، دانشگاه آزاد داریون، داریون.
چکیده
در این مقاله، تحلیل خمشی نانوپوسته‌های استوانه‌ای تحت بارگذاری حرارتی- رطوبتی بر اساس تئوری گرادیان کرنش غیرمحلی بررسی شده است. توزیع دما در امتداد ضخامت به صورت خطی تغییر می‌کند. به منظور افزایش دقت نتایج، در این مقاله اثرات برشی و خمشی نانوپوسته در راستای ضخامت به صورت مستقل در نظر گرفته شده اند. نوآوری اصلی در این مقاله، در نظر گرفتن اثرات ناشی از خمش، برش و اثر ضخامت به صورت مستقل بر جابه‌جایی عرضی می باشد. در این مقاله معادلات حرکت با در نظر گرفتن اثرات غیر موضعی با استفاده از اصل همیلتون به‌دست آمده است. سپس به روش ناویر ، معادلات حرکت به‌دست آمده، حل شده است. تاثیر پارامترهایی مثل ابعاد پوسته، خواص مکانیکی آن و پارامتر غیر موضعی بر روی خیز استاتیکی مورد تحلیل قرار گرفته است. در نهایت نتایج شبیه سازی ها نشان می‌دهد که اثرات برشی در راستای ضخامت نقش حیاتی در خمش نانوپوسته‌های مدرج تابعی دارد.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Vibration Analysis of doubly-curve composite nanoshells Carbon Nanotube Reinforced Using Novel Shear Theory

نویسندگان English

Mohammad Reza Norozi 1
Abdoreza Rastitalab 2
1 School of Mechanical Engineering, Darion Azad University, Darion, Iran.
2 School of Mechanical Engineering, Darion Azad University, Darion, Iran.
چکیده English

In this paper, the bending analysis of cylindrical nano shells under thermal-humidity loading is investigated based on the non local strain gradient theory. The temperature distribution changes linearly along the thickness. In order to increase the accuracy of the results, in this paper, the shear and bending effects of the nano shell in the thickness direction are considered independently. The main innovation of the paper is to consider the effects of bending, shear and thickness effect independently on the transverse displacement. In this article the equations of motion are obtained by considering non local effects using Hamilton's principle. Then, the obtained equations of motion are solved using the Navier method. The effect of parameters such as shell dimensions, its mechanical properties and non local parameter on the static deflection is analyzed. At the end, the simulation results show that the shear effects in the thickness direction play a vital role in the bending of functionally graded nano shells.

کلیدواژه‌ها English

Thickness strength effect
Nanoshell
Nonlocal strain gradient theory
Length scale parameter
Thermal-Moisture environment
[1] Eringen, A.C. “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves”, Journal of Applied Physics, Vol. 5, No. 2, pp. 47034710, 1983.
 [2] Mobarakian, M., Safarabadi, M., Farahani, M. Developing a thermomechanical and thermochemical model for investigating the cooling rate effects on the distortion of unsymmetrical viscoelastic polymeric composite laminates. Polymer Testing, Vol. 87, 106503, 2020.
[3] Pradhan, S.C., Phadikar, J.K., “Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models,” Physics letters A, Vol. 373, No. 11, pp. 10621069, 2009.
[4] Mobarakian, M., Safarabadi, M., Farahani, M., “Investigating the effects of cooling rate on distortion of asymmetric composite laminates,” Composite Structures, Vol. 236, 111875, 2020.
 [5] Jafarpour, A., Safarabadi, M., Haghighi-Yazdi, M., Yousefi, A., “Numerical study of curing thermal residual stresses in GF/CNF/epoxy nanocomposite using a random generator model. Mechanics of Advanced Materials and Structures,” Vol. 28, No. 24, pp. 2618-2628, 2021.
[6] Thai, C.H., Ferreira, A.J.M., Carrera, E., Nguyen-Xuan, H., “Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory,” Composite Structures, Vol. 104, No. 1, pp. 196214, 2013.
[7] Jafarpour, A., Farahani, M. S., Haghighi-Yazdi, M., “Numerical investigation of oriented CNFs effects on thermo-mechanical properties and curing residual stresses field of polymeric nanocomposites,” Mechanics of Materials, Vol. 138, 103176, 2019.
[8] Phuc, P.Q., Van Dong, P., Hai, N.T., Zenkour, A.M., Thien, L.G., “The application of novel shear deformation theory and nonlocal elasticity theory to study the mechanical response of composite nanoplates,” Composite Structures, Vol. 352, p.118646,2025.
[9] Safarabadi, M., “Evaluation of curing residual stresses in three-phase thin composite laminates considering micro-scale effects,” Journal of Composite Materials, Vol. 50, No. 27, pp. 3753-3764, 2016.
[10] Jafari, A., Yousefzadeh, S., Mohammadzadeh, A., “Hydroelastic vibration analysis of functionally graded circular plate in contact with bounded fluid by Ritz method,” In Persian, Journal of Science and Technology of Composite, Vol. 5, No. 4, pp. 529-538, 2018.
[11] Indronil, D., “Sinusoidal shear deformable beam theory for analytic nonlocal elasticity,” Partial Differential Equations in Applied Mathematics, 101116, 2025.
[12] Darban, H., Faghidian, S.A., “Flexural frequency analysis of damaged beams using mixture unified gradient elasticity theory,” Composite Structures, Vol. 363, p.119143, 2025.
[13] Zenkour, A. M., Sobhy, M., “Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler–Pasternak elastic substrate medium,” Physica E: Low-dimensional Systems and Nanostructures, Vol. 53, No. 4, pp. 251-259, 2013.
[14] Shahsavari, D., Shahsavari, M., Li, L., Karami, B., “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, No. 1, pp. 134-149, 2018.
 [15] Dindarloo, M., Li, L., “Vibration analysis of carbon nanotubes reinforced isotropic doubly-curved nanoshells using nonlocal elasticity theory based on a new higher order shear deformation theory,” Composites Part B: Engineering Vol. 175, No. 1, 2019.
[16] Karami, B., Shahsavari, D., Li, L., Karami, M., Janghorban, M., “Thermal buckling of embedded sandwich piezoelectric nanoplates with functionally graded core by a nonlocal second-order shear deformation theory,”, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 233, No. 1, pp. 287-301, 2019.
[17] Le, H.H., Tran, V.K., Hoang, N.T., Huong, N.N.M., “The impacts of variable nonlocal, length-scale factors and surface energy on hygro-thermo-mechanical vibration and buckling behaviors of viscoelastic FGP nanosheet on viscoelastic medium,” Acta Mechanica Sinica, Vol. 4, No. 5, pp. 1-20, 2025.
 [18] Oveissi, S., Ghassemi, A., Salehi, M., Eftekhari, S.A., Ziaei-Rad, S., “Nonlinear Buckling Analysis of Cylindrical Nanoshells Conveying Nano-Fluid in Hygrothermal Environment,” ECS Advances, Vol. 2, No. 1, p.011002, 2023.
 [19] Dindarloo, M., Zenkour, A.M., “Nonlocal strain gradient shell theory for bending analysis of FG spherical nanoshells in thermal environment,” The European Physical Journal Plus, Vol. 135, No. 1, pp. 1-18, 2020.
 [20] Kiani, Y. “Buckling of functionally graded graphene reinforced conical shells under external pressure in thermal environment,” Composites Part B: Engineering, Vol. 156, No. 1, pp. 128-137, 2019.
 [21] Dindarloo, M. H., Li, L., Dimitri, R., Tornabene, F., “Nonlocal Elasticity Response of Doubly-Curved Nanoshells,” Symmetry, Vol. 12, No. 3, pp. 455-466, 2020.