133
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A non-polynomial framework for describing the bending response of a multi-scale composite initially stressed disk

, , &
Pages 4786-4804 | Received 14 Mar 2022, Accepted 20 Jul 2022, Published online: 13 Aug 2022

References

  • A. Pagani, et al., Analysis of laminated beams via unified formulation and Legendre polynomial expansions, Compos. Struct., vol. 156, pp. 78–92, 2016. DOI: 10.1016/j.compstruct.2016.01.095.
  • E. Carrera, A. Pagani, and M. Petrolo, Classical, refined, and component-wise analysis of reinforced-shell wing structures, AIAA J., vol. 51, no. 5, pp. 1255–1268, 2013. DOI: 10.2514/1.J052331.
  • E. Carrera, Temperature profile influence on layered plates response considering classical and advanced theories, AIAA J., vol. 40, no. 9, pp. 1885–1896, 2002. DOI: 10.2514/2.1868.
  • E. Carrera, M. Filippi, and E. Zappino, Free vibration analysis of rotating composite blades via Carrera Unified Formulation, Compos. Struct., vol. 106, pp. 317–325, 2013. DOI: 10.1016/j.compstruct.2013.05.055.
  • E. Carrera, M. Boscolo, and A. Robaldo, Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures: formulation and numerical assessment, Arch. Computat. Methods Eng., vol. 14, no. 4, pp. 383–430, 2007. DOI: 10.1007/s11831-007-9012-8.
  • S. M. R. Khalili, et al., Non-linear dynamic analysis of a sandwich beam with pseudoelastic SMA hybrid composite faces based on higher order finite element theory, Compos. Struct., vol. 96, pp. 243–255, 2013. DOI: 10.1016/j.compstruct.2012.08.020.
  • E. Carrera and B. Kröplin, Zigzag and interlaminar equilibria effects in large-deflection and postbuckling analysis of multilayered plates, Mech. Adv. Mater. Struct., vol. 4, no. 1, pp. 69–94, 1997. DOI: 10.1080/10759419708945875.
  • A. Pagani, et al., Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions, Compos. Struct., vol. 110, pp. 305–316, 2014. DOI: 10.1016/j.compstruct.2013.12.010.
  • F. Fazzolari and E. Carrera, Thermal stability of FGM sandwich plates under various through-the-thickness temperature distributions, J. Therm. Stress., vol. 37, no. 12, pp. 1449–1481, 2014. DOI: 10.1080/01495739.2014.937251.
  • M. Cinefra, et al., Thermo-mechanical analysis of functionally graded shells, J. Therm. Stress., vol. 33, no. 10, pp. 942–963, 2010. DOI: 10.1080/01495739.2010.482379.
  • E. Carrera, Transverse normal stress effects in multilayered plates, 1999. DOI: 10.1115/1.2791769.
  • F. A. Fazzolari and E. Carrera, Refined hierarchical kinematics quasi-3D Ritz models for free vibration analysis of doubly curved FGM shells and sandwich shells with FGM core, J. Sound Vib., vol. 333, no. 5, pp. 1485–1508, 2014. DOI: 10.1016/j.jsv.2013.10.030.
  • M. Arefi and O. Civalek, Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory, Arch. Civ. Mech. Eng., vol. 20, no. 1, pp. 1–17, 2020. DOI: 10.1007/s43452-020-00032-2.
  • X. Liu, et al., Deep learning for Feynman’s path integral in strong-field time-dependent dynamics, Phys. Rev. Lett., vol. 124, no. 11, pp. 113202, 2020. DOI: 10.1103/PhysRevLett.124.113202.
  • Q.-M. Xiong, et al., Preparation, structure and mechanical properties of Sialon ceramics by transition metal-catalyzed nitriding reaction, Rare Met., vol. 39, no. 5, pp. 589–596, 2020. DOI: 10.1007/s12598-020-01385-6.
  • L. Zhang, et al., Experimental study on evolution of fracture network and permeability characteristics of bituminous coal under repeated mining effect, Nat. Resour. Res., vol. 31, no. 1, pp. 463–486, 2022. DOI: 10.1007/s11053-021-09971-w.
  • L. Zhang, et al., Repetitive mining stress and pore pressure effects on permeability and pore pressure sensitivity of bituminous coal, Nat. Resour. Res., vol. 30, no. 6, pp. 4457–4476, 2021. DOI: 10.1007/s11053-021-09902-9.
  • G. Zhang, et al., Analysis of magnetorheological clutch with double cup-shaped gap excited by Halbach array based on finite element method and experiment, Smart Mater. Struct., vol. 31, no. 7, pp. 075008, 2022. DOI: 10.1088/1361-665X/ac701a.
  • S. K. Chakrapani, D. J. Barnard, and V. Dayal, Nonlinear forced vibration of carbon fiber/epoxy prepreg composite beams: theory and experiment, Compos. Part B: Eng., vol. 91, pp. 513–521, 2016. DOI: 10.1016/j.compositesb.2016.02.009.
  • H. Wang, et al., Dynamic simulation of moderately thick annular system coupled with shape memory alloy and multi-phase nanocomposite face sheets, Eng. Comput., pp. 1–24, 2021. DOI: 10.1007/s00366-020-01246-x.
  • M. Al-Furjan, et al., On the phase velocity simulation of the multi curved viscoelastic system via an exact solution framework, Eng. Comput., vol. 38, no. S1, pp. 353–369, 2022. DOI: 10.1007/s00366-020-01152-2.
  • A. Shariati, et al., Extremely large oscillation and nonlinear frequency of a multi-scale hybrid disk resting on nonlinear elastic foundation, Thin-Walled Struct., vol. 154, pp. 106840, 2020. DOI: 10.1016/j.tws.2020.106840.
  • M. Al-Furjan, et al., Chaotic simulation of the multi-phase reinforced thermo-elastic disk using GDQM, Eng. Comput., vol. 38, no. S1, pp. 219–224, 2022. DOI: 10.1007/s00366-020-01144-2.
  • L. Zhang, et al., Experimental studies on the changing characteristics of the gas flow capacity on bituminous coal in CO2-ECBM and N2-ECBM, Fuel, vol. 291, pp. 120115, 2021. DOI: 10.1016/j.fuel.2020.120115.
  • X. Zhang, et al., A novel aluminum–graphite dual‐ion battery, Adv. Energy Mater., vol. 6, no. 11, pp. 1502588, 2016. DOI: 10.1002/aenm.201502588.
  • J. Zhou, et al., Ni/Ni3Al interface-dominated nanoindentation deformation and pop-in events, Nanotechnology, vol. 33, no. 10, pp. 105703, 2022. DOI: 10.1088/1361-6528/ac3d62.
  • J. Zhou, J. Bai, and Y. Liu, Fabrication and modeling of matching system for air-coupled transducer, Micromachines, vol. 13, no. 5, pp. 781, 2022. DOI: 10.3390/mi13050781.
  • P. Yang, et al., Effects of inflow Mach number on oblique detonation initiation with a two-step induction-reaction kinetic model, Combust. Flame, vol. 193, pp. 246–256, 2018. DOI: 10.1016/j.combustflame.2018.03.026.
  • S. Maghamikia and J. Jam, Buckling analysis of circular and annular composite plates reinforced with carbon nanotubes using FEM, J. Mech. Sci. Technol., vol. 25, no. 11, pp. 2805–2810, 2011. DOI: 10.1007/s12206-011-0738-8.
  • V. Tahouneh and M. Yas, Influence of equivalent continuum model based on the Eshelby‐Mori‐Tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube‐reinforced annular plates, Polym. Compos., vol. 35, no. 8, pp. 1644–1661, 2014. DOI: 10.1002/pc.22818.
  • V. Tahouneh and J. Eskandari-Jam, A semi-analytical solution for 3-D dynamic analysis of thick continuously graded carbon nanotube-reinforced annular plates resting on a two-parameter elastic foundation, Mech. Adv. Compos. Struct., vol. 1, no. 2, pp. 113–130, 2014.
  • R. Ansari, J. Torabi, and M. F. Shojaei, Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading, Compos. Part B: Eng., vol. 109, pp. 197–213, 2017. DOI: 10.1016/j.compositesb.2016.10.050.
  • A. Alibeigloo, Three-dimensional thermoelasticity analysis of graphene platelets reinforced cylindrical panel, Eur. J. Mech. A/Solids, vol. 81, pp. 103941, 2020. DOI: 10.1016/j.euromechsol.2019.103941.
  • M. Wang, et al., Reversible calcium alloying enables a practical room-temperature rechargeable calcium-ion battery with a high discharge voltage, Nature Chem., vol. 10, no. 6, pp. 667–672, 2018. DOI: 10.1038/s41557-018-0045-4.
  • M. Al-Furjan, et al., Non-polynomial framework for stress and strain response of the FG-GPLRC disk using three-dimensional refined higher-order theory, Eng. Struct., vol. 228, pp. 111496, 2021. DOI: 10.1016/j.engstruct.2020.111496.
  • M. Shaban and A. Alibeigloo, Global bending analysis of corrugated sandwich panels with integrated piezoelectric layers, J. Sandwich Struct. Mater., vol. 22, no. 4, pp. 1055–1073, 2020. DOI: 10.1177/1099636218780172.
  • A. Rahimi, A. Alibeigloo, and M. Safarpour, Three-dimensional static and free vibration analysis of graphene platelet–reinforced porous composite cylindrical shell, J. Vib. Control, vol. 26, no. 19-20, pp. 1627–1645, 2020. DOI: 10.1177/1077546320902340.
  • T. Lu, et al., Singlet oxygen-promoted one-pot synthesis of highly ordered mesoporous silica materials via the radical route, Green Chem., vol. 24, no. 12, pp. 4778–4782, 2022. DOI: 10.1039/D2GC00869F.
  • H. Zhang, Y. Liu, and Y. Deng, Temperature gradient modeling of a steel box-girder suspension bridge using Copulas probabilistic method and field monitoring, Adv. Struct. Eng., vol. 24, no. 5, pp. 947–961, 2021. DOI: 10.1177/1369433220971779.
  • Y. Peng, et al., Influences of wire diameters on output power in electromagnetic energy harvester, Int. J. Precis. Eng. Manuf-Green. Tech., pp. 1–12, 2022. DOI: 10.1007/s40684-022-00446-8.
  • F. Shen, et al., Influence of temperature difference on performance of solid-liquid triboelectric nanogenerators, Nano Energy, vol. 99, pp. 107431, 2022. DOI: 10.1016/j.nanoen.2022.107431.
  • C. Xin, et al., Investigating the output performance of triboelectric nanogenerators with single/double-sided interlayer, Nano Energy, vol. 100, pp. 107448, 2022. DOI: 10.1016/j.nanoen.2022.107448.
  • M. Safarpour, et al., Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions, Mech. Based Des. Struct. Mach., vol. 49, no. 5, pp. 707–731, 2021. DOI: 10.1080/15397734.2019.1701491.
  • M. Safarpour, A. Rahimi, and A. Alibeigloo, Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM, Mech. Based Des. Struct. Mach., vol. 48, no. 4, pp. 496–524, 2020. DOI: 10.1080/15397734.2019.1646137.
  • A. Alibeigloo and A. R. P. Noee, Static and free vibration analysis of sandwich cylindrical shell based on theory of elasticity and using DQM, Acta Mech., vol. 228, no. 12, pp. 4123–4140, 2017. DOI: 10.1007/s00707-017-1914-4.
  • H. Salehipour, et al., Static deflection and free vibration analysis of functionally graded and porous cylindrical micro/nano shells based on the three-dimensional elasticity and modified couple stress theories, Mech. Based Des. Struct. Mach., vol. 50, no. 6, pp. 2184–2205, 2022. DOI: 10.1080/15397734.2020.1775095.
  • A. A. Parand and A. Alibeigloo, Static and vibration analysis of sandwich cylindrical shell with functionally graded core and viscoelastic interface using DQM, Compos. Part B: Eng., vol. 126, pp. 1–16, 2017. DOI: 10.1016/j.compositesb.2017.05.071.
  • A. Alibeigloo, Three dimensional coupled thermoelasticity solution of sandwich plate with FGM core under thermal shock, Compos. Struct., vol. 177, pp. 96–103, 2017. DOI: 10.1016/j.compstruct.2017.06.046.
  • V. N. Van Do and C.-H. Lee, Static bending and free vibration analysis of multilayered composite cylindrical and spherical panels reinforced with graphene platelets by using isogeometric analysis method, Eng. Struct., vol. 215, pp. 110682, 2020. DOI: 10.1016/j.engstruct.2020.110682.
  • H. Hedayati and B. S. Aragh, Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation, Appl. Math. Comput., vol. 218, no. 17, pp. 8715–8735, 2012. DOI: 10.1016/j.amc.2012.01.080.
  • A. B. Rad, Static analysis of non-uniform 2D functionally graded auxetic-porous circular plates interacting with the gradient elastic foundations involving friction force, Aerosp. Sci. Technol., vol. 76, pp. 315–339, 2018.
  • B. S. Aragh, et al., 3-D thermo-elastic solution for continuously graded isotropic and fiber-reinforced cylindrical shells resting on two-parameter elastic foundations, Appl. Math. Model., vol. 37, no. 9, pp. 6556–6576, 2013.
  • E. Thostenson, et al., Carbon nanotube/carbon fiber hybrid multiscale composites, J. Appl. Phys., vol. 91, no. 9, pp. 6034–6037, 2002. DOI: 10.1063/1.1466880.
  • H.-S. Shen, A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators, Compos. Struct., vol. 91, no. 3, pp. 375–384, 2009. DOI: 10.1016/j.compstruct.2009.06.005.
  • M. Rafiee, et al., Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates, J. Sound Vib., vol. 333, no. 14, pp. 3236–3251, 2014. DOI: 10.1016/j.jsv.2014.02.033.
  • M. Kim, et al., Processing, characterization, and modeling of carbon nanotube-reinforced multiscale composites, Compos. Sci. Technol., vol. 69, no. 3-4, pp. 335–342, 2009. DOI: 10.1016/j.compscitech.2008.10.019.
  • M. Al-Furjan, et al., On the buckling of the polymer-CNT-fiber nanocomposite annular system under thermo-mechanical loads, Mech. Based Des. Struct. Mach., pp. 1–21, 2020. DOI: 10.1080/15397734.2020.1830106.
  • M. Rafiee, J. Yang, and S. Kitipornchai, Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers, Compos. Struct., vol. 96, pp. 716–725, 2013. DOI: 10.1016/j.compstruct.2012.10.005.
  • M. Al-Furjan, et al., A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel, Eng. Comput., vol. 38, no. 2, pp. 1679–1696, 2022. DOI: 10.1007/s00366-020-01130-8.
  • H. Wu, S. Kitipornchai, and J. Yang, Imperfection sensitivity of thermal post-buckling behaviour of functionally graded carbon nanotube-reinforced composite beams, Appl. Math. Model., vol. 42, pp. 735–752, 2017. DOI: 10.1016/j.apm.2016.10.045.
  • M. Al-Furjan, et al., Wave propagation simulation in an electrically open shell reinforced with multi-phase nanocomposites, Eng. Comput., vol. 38, no. S1, pp. 629–645, 2022. DOI: 10.1007/s00366-020-01167-9.
  • H. Zhao, et al., Poroelasticity framework for stress/strain responses of the multi-phase circular/annular systems resting on various types of elastic foundations, Eur. Phys. J. Plus, vol. 136, no. 8, pp. 1–44, 2021. DOI: 10.1140/epjp/s13360-021-01761-w.
  • F. Ebrahimi and A. Dabbagh, Vibration analysis of multi-scale hybrid nanocomposite plates based on a Halpin-Tsai homogenization model, Compos. Part B: Eng., vol. 173, pp. 106955, 2019. DOI: 10.1016/j.compositesb.2019.106955.
  • M. Al-Furjan, et al., A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method, Eng. Comput., vol. 38, no. 1, pp. 801–818, 2022. DOI: 10.1007/s00366-020-01088-7.
  • J. Du, et al., SH wave propagation in a cylindrically layered piezoelectric structure with initial stress, Acta Mech., vol. 191, no. 1-2, pp. 59–74, 2007. DOI: 10.1007/s00707-007-0447-7.
  • C. Chang-Qing and S. Ya-Peng, Stability analysis of piezoelectric circular cylindrical shells, 1997. DOI: 10.1115/1.2788991.
  • J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, New York, 2003.
  • Z. Dai, et al., On the vibrations of the non-polynomial viscoelastic composite open-type shell under residual stresses, Compos. Struct., vol. 263, pp. 113599, 2021. DOI: 10.1016/j.compstruct.2021.113599.
  • M. Al-Furjan, et al., Influence of in-plane loading on the vibrations of the fully symmetric mechanical systems via dynamic simulation and generalized differential quadrature framework, Eng. Comput., pp. 1–23, 2020. DOI: 10.1007/s00366-020-01177-7.
  • E. Carrera, M. Petrolo, and E. Zappino, Performance of CUF approach to analyze the structural behavior of slender bodies, J. Struct. Eng., vol. 138, no. 2, pp. 285–297, 2012. DOI: 10.1061/(ASCE)ST.1943-541X.0000402.
  • A. Robaldo, E. Carrera, and A. Benjeddou, A unified formulation for finite element analysis of piezoelectric adaptive plates, Comput. Struct., vol. 84, no. 22-23, pp. 1494–1505, 2006. DOI: 10.1016/j.compstruc.2006.01.029.
  • E. Carrera, F. Miglioretti, and M. Petrolo, Accuracy of refined finite elements for laminated plate analysis, Compos. Struct., vol. 93, no. 5, pp. 1311–1327, 2011. DOI: 10.1016/j.compstruct.2010.11.007.
  • J. Zhang, et al., Aeroelastic model and analysis of an active camber morphing wing, Aerosp. Sci. Technol., vol. 111, pp. 106534, 2021. DOI: 10.1016/j.ast.2021.106534.
  • Z. Zhang, et al., Influence of CeO2 addition on forming quality and microstructure of TiCx-reinforced CrTi4-based laser cladding composite coating, Mater. Charact., vol. 171, pp. 110732, 2021. DOI: 10.1016/j.matchar.2020.110732.
  • C. Shu, Differential Quadrature and Its Application in Engineering, Springer Science & Business Media, London, 2012.
  • M. Al-Furjan, et al., On the nonlinear dynamics of the multi-scale hybrid nanocomposite-reinforced annular plate under hygro-thermal environment, Arch. Civ. Mech. Eng., vol. 21, no. 1, pp. 1–25, 2021. DOI: 10.1007/s43452-020-00151-w.
  • M. Al-Furjan, M. Habibi, and H. Safarpour, Vibration control of a smart shell reinforced by graphene nanoplatelets, Int. J. Appl. Mech., vol. 12, no. 06, pp. 2050066, 2020. DOI: 10.1142/S1758825120500660.
  • C. Shu and B. E. Richards, Application of generalized differential quadrature to solve two‐dimensional incompressible Navier‐Stokes equations, Int. J. Numer. Meth. Fluids, vol. 15, no. 7, pp. 791–798, 1992. DOI: 10.1002/fld.1650150704.
  • Y. Yan, et al., Effect of plasma-activated water on the structure and in vitro digestibility of waxy and normal maize starches during heat-moisture treatment, Food Chem., vol. 306, pp. 125589, 2020.
  • M. Shi, et al., Effect of ultrasonic intensity on structure and properties of wheat starch-monoglyceride complex and its influence on quality of norther-style Chinese steamed bread, LWT, vol. 138, pp. 110677, 2021. DOI: 10.1016/j.lwt.2020.110677.
  • X. He, et al., Non-polynomial framework for bending responses of the multi-scale hybrid laminated nanocomposite reinforced circular/annular plate, Thin-Walled Struct., vol. 166, pp. 108019, 2021. DOI: 10.1016/j.tws.2021.108019.
  • M. Karimiasl, F. Ebrahimi, and B. Akgöz, Buckling and post-buckling responses of smart doubly curved composite shallow shells embedded in SMA fiber under hygro-thermal loading, Compos. Struct., vol. 223, pp. 110988, 2019. DOI: 10.1016/j.compstruct.2019.110988.
  • J. Reddy, C. Wang, and S. Kitipornchai, Axisymmetric bending of functionally graded circular and annular plates, Eur. J. Mech. A Solids, vol. 18, no. 2, pp. 185–199, 1999. DOI: 10.1016/S0997-7538(99)80011-4.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.