Stress and buckling analysis of a thick-walled micro sandwich panel with a flexible foam core and carbon nanotube reinforced composite (CNTRC) face sheets

doi:10.1007/s10483-020-2627-7

摘要/Abstract

摘要： In this paper, the stresses and buckling behaviors of a thick-walled micro sandwich panel with a flexible foam core and carbon nanotube reinforced composite (CNTRC) face sheets are considered based on the high-order shear deformation theory (HSDT) and the modified couple stress theory (MCST). The governing equations of equilibrium are obtained based on the total potential energy principle. The effects of various parameters such as the aspect ratio, elastic foundation, temperature changes, and volume fraction of the canbon nanotubes (CNTs) on the critical buckling loads, normal stress, shear stress, and deflection of the thick-walled micro cylindrical sandwich panel considering different distributions of CNTs are examined. The results are compared and validated with other studies, and showing an excellent compatibility. CNTs have become very useful and common candidates in sandwich structures, and they have been extensively used in many applications including nanotechnology, aerospace, and micro-structures. This paper also extends further applications of reinforced sandwich panels by providing the modified equations and formulae.

关键词: stress and buckling analysis, thick-walled micro cylindrical sandwich panel, flexible foam core, carbon nanotube reinforced composite (CNTRC) face sheet, high-order shear deformation theory (HSDT) Chinese Library

Abstract: In this paper, the stresses and buckling behaviors of a thick-walled micro sandwich panel with a flexible foam core and carbon nanotube reinforced composite (CNTRC) face sheets are considered based on the high-order shear deformation theory (HSDT) and the modified couple stress theory (MCST). The governing equations of equilibrium are obtained based on the total potential energy principle. The effects of various parameters such as the aspect ratio, elastic foundation, temperature changes, and volume fraction of the canbon nanotubes (CNTs) on the critical buckling loads, normal stress, shear stress, and deflection of the thick-walled micro cylindrical sandwich panel considering different distributions of CNTs are examined. The results are compared and validated with other studies, and showing an excellent compatibility. CNTs have become very useful and common candidates in sandwich structures, and they have been extensively used in many applications including nanotechnology, aerospace, and micro-structures. This paper also extends further applications of reinforced sandwich panels by providing the modified equations and formulae.

Key words: stress and buckling analysis, thick-walled micro cylindrical sandwich panel, flexible foam core, carbon nanotube reinforced composite (CNTRC) face sheet, high-order shear deformation theory (HSDT) Chinese Library

中图分类号:

A. AMIRI, M. MOHAMMADIMEHR, M. ANVARI. Stress and buckling analysis of a thick-walled micro sandwich panel with a flexible foam core and carbon nanotube reinforced composite (CNTRC) face sheets[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(7): 1027-1038.

参考文献

[1] TARLOCHAN, F., HAMOUDA, A. M. S., MAHDI, E., and SAHARI, B. B. Composite sandwich structures for crashworthiness applications. The Journal of Materials:Design and Applications, 122, 121-130(2007)
[2] ZHU, S. and BOAY, C. G. Low-velocity impact response of composite sandwich panels. The Journal of Materials:Design and Applications, 18, 754-768(2015)
[3] KHEIRKHAH, M. M., KHADEM, M., and FARAHPOUR, P. Bending analysis of soft-core sandwich plates with embedded shape memory alloy wires using three-dimensional finite element method. The Journal of Materials:Design and Applications, 226, 186-202(2012)
[4] NGUYEN, T. K., VO, T. P., and THAI, H. T. Vibration and buckling analysis of functionally graded sandwich plates with improved transverse shear stiffness based on the first-order shear deformation theory. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 228, 2110-2131(2014)
[5] SHAMS, S. H. and SOLTANI, B. Buckling of laminated carbon nanotube-reinforced composite plates on elastic foundations using a meshfree method. Arabian Journal for Science and Engineering, 41, 1981-1993(2016)
[6] SANKAR, A., El-BORGI, S., GANAPATHI, M., and RAMAJEYATHILGAM, K. Parametric instability of thick doubly curved CNT reinforced composite sandwich panels under in-plane periodic loads using higher-order shear deformation theory. Journal of Vibration and Control, 24, 1927-1950(2016)
[7] BORJALILOU, V., TAATI, E., and TAGHI, A. M. Bending, buckling and free vibration of nonlocal FG carbon nanotube reinforced composite nanobeams:exact solutions. SN Applied Sciences, 1, 1323(2019)
[8] KIANI, Y. Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading. Acta Mechanica, 228, 1303-1319(2017)
[9] SAFAEI, B., MORADI-DASTJERDI, R., BEHDINAN, K., and CHU, F. Critical buckling temperature and force in porous sandwich plates with CNT-reinforced nanocomposite layers. Aerospace Science and Technology, 91, 175-185(2019)
[10] MEHAR, K., KUMAR, P. S., BUI, T. Q., and MAHAPATRA, T. R. Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM. Journal of Thermal Stresses, 40, 899-916(2017)
[11] VU, T. V., KHOSRAVIFARD, A., HEMATIYAN, M. R., and BUI, T. Q. A new refined simple TSDT-based effective meshfree method for analysis of through-thickness FG plates. Applied Mathematical Modelling, 57, 514-534(2018)
[12] VU, T. V., CURIEL-SOSA, J. L., and BUI, T. Q. A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function. International Journal of Mechanics and Materials in Design, 15, 647-669(2019)
[13] MEHAR, K., KUMAR, P. S., DEVARAJAN, Y., and CHOUBEY, G. Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading. Composite Structures, 216, 406-414(2019)
[14] GARCÍA-MACÍAS, E., RODRIGUEZ-TEMBLEQUE, L., CASTRO-TRIGUERO, R., and SEEZ, A. Buckling analysis of functionally graded carbon nanotube-reinforced curved panels under axial compression and shear. Composites Part B:Engineering, 108, 243-256(2016)
[15] BHAGAT, V., JEYARAJ, P., and MURIGENDRAPPA, S. M. Buckling and free vibration behavior of a temperature dependent FG-CNTRC cylindrical panel under thermal load. Materials Today, 5, 23682-23691(2018)
[16] ZGHAL, S., FRIKHA, A., and DAMMAK, F. Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels. Composites Part B:Engineering, 150, 165-183(2018)
[17] LEI, Z. X., LIEW, K. M., and YU, J. L. Buckling analysis of functionally graded carbon nanotubereinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98, 160-168(2013)
[18] HAJLAOUI, A., CHEBBI, E., and DAMMAK, F. Buckling analysis of carbon nanotube reinforced FG shells using an efficient solid-shell element based on a modified FSDT. Thin-Walled Structures, 144, 106254(2019)
[19] MOHAMMADIMEHR, M. and ROSTAMI, R. Bending and vibration analyses of a rotating sandwich cylindrical shell considering nanocomposite core and piezoelectric layers subjected to thermal and magnetic fields. Applied Mathematics and Mechanics (English Edtion), 39(2), 219-240(2018) https://doi.org/10.1007/s10483-018-2301-6
[20] SHEN, H. S. and XIANG, Y. Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Engineering Structures, 80, 163-172(2014)
[21] GALLETTI, G. G., VINQUIST, C., and ES-SAID, O. S. Theoretical design and analysis of a honeycomb panel sandwich structure loaded in pure bending. Engineering Failure Analysis, 15, 555-562(2008)
[22] JEDARI-SALAMI, S. Extended high order sandwich panel theory for bending analysis of sandwich beams with cnt reinforced face sheets. Physica E, 76, 187-197(2016)
[23] ZHAO, Y. X., LIU, T., and LI, Z. M. Nonlinear bending analysis of a 3D braided composite cylindrical panel subjected to transverse loads in thermal environments. Chinese Journal of Aeronautics, 31, 1716-1727(2018)
[24] SHEN, H. S., XIANG, Y., FAN, Y., and HUI, D. Nonlinear bending analysis of FG-GRC laminated cylindrical panels on elastic foundations in thermal environments. Composites Part B:Engineering, 141, 148-157(2017)
[25] ZGHAL, S., FRIKHA, A., and DAMMAK, F. Non-linear bending analysis of nanocomposites reinforced by graphene nanotubes with finite shell element and membrane enhancement. Engineering Structures, 158, 95-109(2018)
[26] MISHARA, B. B., NATH, J. K., BISWAL, T., and DAS, T. Transverse shear stress relaxed zigzag theory for cylindrical bending of laminated composite and piezoelectric panels. Applied Mathematical Modelling, 71, 584-600(2019)
[27] PYDAH, A. and BATRA, R. C. Analytical solution for cylindrical bending of two-layered corrugated and web core sandwich panels. Thin-Walled Structures, 123, 509-519(2018)
[28] KIANI, Y., DIMITRI, R., and TORNABENE, F. Free vibration study of composite conical panels reinforced with FG-CNTs. Engineering Structures, 172, 472-482(2018)
[29] MOHAMMADIMEHR, M., SHABANI, N. E., and MEHRABI, M. Buckling and vibration analyses of MGSGT double-bonded micro composite sandwich SSDT plates reinforced by CNTs and BNNTs with isotropic foam and flexible transversely orthotropic cores. Structural Engineering and Mechanics, 65, 491-504(2018)
[30] MOHAMMADIMEHR, M., SALEMI, M., and ROUSTA, N. B. Bending, buckling, and free vibration analysis of MSGT micro composite Reddy plate reinforced by FG-SWCNTs with temperaturedependent material properties under hydro-thermo-mechanical loadings using DQM. Composite Structure, 138, 361-380(2016)
[31] SHEN, H. S. Post buckling of nanotube-reinforced composite cylindrical shells in thermal environments. Composite Structure, 93, 2096-2108(2011)
[32] MOHAMMADIMEHR, M., ARSHID, E., RASTI, A. S. M. A., AMIR, S., and GHORBANPOURARANI, M. R. Free vibration analysis of thick cylindrical MEE composite shells reinforced CNTs with temperature-dependent properties resting on viscoelastic foundation. Structural Engineering and Mechanics, 70, 683-702(2019)
[33] ANSARI, R., HASRATI, E., and TORABI, J. Vibration analysis of pressurized sandwich FGCNTRC cylindrical shells based on the higher-order shear deformation theory. Materials Research Express (2019) https://doi.org/10.1088/2053-1591/aafcb7
[34] POURMOAYED, A., MALEKZADEHFARD, K., and SHAHRAVI, M. Buckling and vibration analysis of a thick cylindrical sandwich panel with flexible core using an improved higher order theory. Modares Mechanical Engineering, 17, 227-238(2017)
[35] MOHAMMADIMEHR, M., AKHAVAN, A. S. M., and OKHRAVI, S. V. Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT. Journal of Vibration and Control, 24, 1551-1569(2018)
[36] KUMAR, A., CHAKRABARTI, A., and BHARGAVA, P. Vibration analysis of laminated composite skew cylindrical shells using higher order shear deformation theory. Journal of Vibration and Control, 21, 725-735(2015)
[37] YAZDANI, R., MOHAMMADIMEHR, M., and ROUSTA, N. B. Free vibration of Cooper-Naghdi micro saturated porous sandwich cylindrical shells with reinforced CNT face sheets under magnetohydro-thermo-mechanical loadings. Structural Engineering and Mechanics, 70, 351-365(2019)
[38] GHORBANPOUR, A. A., RAHNAMA, M. M., and MOHAMMADIMEHR, M. The effect of CNT volume fraction on the magneto electromechanical behavior of smart nanocomposite cylinder. Journal of Mechanical Science and Technology, 26, 2565-2572(2012)
[39] LE, T. C., PHUNG-VAN, P., THAI, C. H., NGUYEN, X. H., and ABDEL, W. M. Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory. Composite Structure, 184, 633-649(2017)
[40] ZENG, S., WANG, B. L., and WANG, K. F. Analyses of natural frequency and electromechanical behavior of flex electric cylindrical nano shells under modified couple stress theory. Journal of Vibration and Control, 25, 559-570(2019)
[41] AREFI, M., KARROUBI, R., and IRANI-RAHAGHI, M. Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer. Applied Mmathematics and Mechanics (English Edition), 37, 821-834(2016) https://doi.org/10.1007/s10483-016-2098-9
[42] MALEKZADEHFARD, K., GHOLAMI, M., RESHADI, F., and LIVANI, M. Free vibration and buckling analyses of cylindrical sandwich panel with magneto rheological fluid layer. Journal of Sandwich Structures and Materials, 19, 397-423(2017)
[43] LIBRESCU, L., KHDEIR, A. A., and FREDERICK, D. A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I:free vibration and buckling. Acta Mechanica, 76, 1-33(1989)
[44] JEDARI-SALAMI, S., SADIGHI, M., and SHAKERI, M. Improved high order analysis of sandwich beams by considering a bilinear elasto-plastic behavior of core:an analytical and experimental investigation. International Journal of Mechanical Sciences, 93, 270-289(2015)