Three-dimensional exact elastic analysis of nanoplates

• Autorzy: Wang Guoping , Zhang Yu , Arefi Mohammed

Identyfikatory

DOI

10.1007/s43452-021-00247-x

• Języki publikacji: EN

Abstrakty

EN

This work investigates the application of three-dimensional nonlocal elasticity theory to elastic static analysis of nanoplates. Unlike all previous papers that considered two-dimensional Laplacian operator to stress components, this work uses the general three-dimensional nonlocal operator with thickness direction operator. The displacement field of nanoplate is assumed a function of three-dimensional coordinate x, y, z. The principle of virtual work is used to derive the governing equations. A solution procedure is developed for simply supported nanoplate. The solution along the thickness direction is derived using the characteristic equation and application of boundary conditions including free transverse shear stress and applied normal stress. The eigenvalue–eigenvector methodology is used to extract general solution along the transverse direction. The stress and deformation distribution along the transverse direction is presented with changes of significant parameters such as nonlocal parameter and aspect ratio.

Słowa kluczowe

EN

nonlocal elasticity theory; three-dimensional elasticity; Laplacian operator; stress and deformation analysis

PL

teoria sprężystości; elastyczność; analiza naprężeń

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2021
• Tom: Vol. 21, no. 3
• Strony: 63--76
• Opis fizyczny: Bibliogr. 60 poz., wykr.

Twórcy

autor

Wang Guoping

• Department of Mechanical Engineering, Xi’an Jiaotong University City College, Xi’an 710018, Shaanxi, China

autor

Zhang Yu

• School of Geographic Sciences and Tourism, Jiaying University, Meizhou 514015, Guangdong, China

autor

Arefi Mohammed

• Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, 87317-51167 Kashan, Iran

Bibliografia

• [1] Vel SS, Batra RC. Three-dimensional analysis of transient thermal stresses in functionally graded plates. Int J Solids Struct. 2003;40(25):7181–96.
• [2] Zhong Z, Shang ET. Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate. Int J Solids Struct. 2003;40(20):5335–52.
• [3] Vel SS, Batra RC. Three-dimensional exact solution for the vibration of functionally graded rectangular plates. J Sound Vib. 2004;272(3–5):703–30.
• [4] Arefi M, Rahimi GH, Khoshgoftar MJ. Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field. Smart Struct Syst. 2012;9(5):427–39.
• [5] Arefi M, Rahimi GH. Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure. Smart Struct Syst. 2012;9(2):127–43.
• [6] Arefi M, Rahimi GH. Non linear analysis of a functionally graded square plate with two smart layers as sensor and actuator under normal pressure. Smart Struct Syst. 2011;8(5):433–47.
• [7] Gao T, Changhe J, Dongzhou Z, Yanbin Y, Min W, Xiaoming C, Huajun L, Runze MH, Al XX. Surface morphology assessment of CFRP transverse grinding using CNT nanofluid minimum quantity lubrication. J Clean Prod. 2020;277:123328.
• [8] Zhang Y, Changhe J, Dongkun ZD, Xiaowei Z. Experimental evaluation of the lubrication performance of MoS2/CNT nano-fluid for minimal quantity lubrication in Ni-based alloy grinding. Int J Mach Tools Manuf. 2015;99:19–33.
• [9] Yang Y, Chen H, Zou X, Shi X-L, Liu W-D, Feng L, Suo G, Hou X, Ye X, Zhang L, Sun C, Li H, Wang C, Chen Z-G. Flexible carbon-fiber/semimetal bi nanosheet arrays as separable and recyclable plasmonic photocatalysts and photoelectrocatalysts. ACS Appl Mater Interfaces. 2020;12:22.
• [10] Malikan TM, Krasheninnikov M, Eremeyev VA. Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field. Int J Eng Sci. 2020;148:103210.
• [11] Gao N, Lu K. An underwater metamaterial for broadband acoustic absorption at low frequency. Appl Acoust. 2020;169:107500.
• [12] Gao N, Wang B, Lu K, Hou H. Complex band structure and evanescent Bloch wave propagation of periodic nested acoustic black hole phononic structure. Appl Acoust. 2021;177:107906.
• [13] Zhang K, Yang Z, Mao X, Chen X-L, Li H-H, Wang Y-Y. Multifunctional textiles/metal-organic frameworks composites for efficient ultraviolet radiation blocking and noise reduction. ACS Appl Mater Interfaces. 2020;12:49.
• [14] Zhang K, Huo Q, Zhou Y-Y, Wang H-H, Li G-P, Wang Y-W, Wang Y-Y. Textiles/metal-organic frameworks composites as flexible air filters for efficient particulate matter removal. ACS Appl Mater Interfaces. 2019;11:19.
• [15] Duan Z, Qingan L, Changhe D, Lan B, Xiufang Z, Yanbin Y, Min J, Dongzhou L, Runze L. Zhanqiang Milling force and surface morphology of 45 steel under different Al2O3 nanofluid concentrations. Int J Adv Manuf Technol. 2020;107(3):1277–96.
• [16] Gao T, Changhe L, Yanbin Z, Min Y, Dongzhou J, Tan J, Yali H, Runze L. Dispersing mechanism and tribological performance of vegetable oil-based CNT nanofluids with different surfactants. Tribol Int. 2019;131:51–63.
• [17] Kulikov GM, Plotnikova SV. Three-dimensional exact analysis of piezoelectric laminated plates via a sampling surfaces method. Int J Solids Struct. 2013;50(11–12):1916–29.
• [18] Kulikov GM, Plotnikova SV. Three-dimensional exact analysis of laminated piezoelectric plates and shells. Adv Mater Res. 2013;745:1–12. https:// doi. org/ 10. 4028/ www. scien tific. net/ amr. 745.1.
• [19] Jin G, Su Z, Shi S, Ye T, Gao S. Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions. Compos Struct. 2014;108:565–77.
• [20] Messina A. Three-dimensional free vibration analysis of crossply laminated rectangular plates through 2D and exact models. Mech Adv Mater Struct. 2012;19:250–64.
• [21] Alibeigloo A. Three-dimensional exact solution for functionally graded rectangular plate with integrated surface piezoelectric layers resting on elastic foundation. Mech Adv Mater Struct. 2010;17(3):183–95.
• [22] Wang D, Xue C, Xuan F, Jilong T, Fengyuan L, Xinwei W, Guanlin L, Lei L, Johnny CH, Zhipeng W. Photoresponse improvement of mixed-dimensional 1D–2D GaAs photodetectors by incorporating constructive interface states. Nanoscale. 2021;13(2):1086–92.
• [23] Zhang K, Qian H, Ying-Ying Z, Hong-Hong W, Gao-Peng L, Yao-Wu W. Textiles/metal–organic frameworks composites as flexible air filters for efficient particulate matter removal. ACS Appl Mater Interfaces. 2019;11(19):17368–74.
• [24] Peng X-J, Hai-Ping H, Qian L, Kun S, Bao-Qi Z, Heng-Shan W, Hai-Tao T, Ying-Ming P. Photocatalyst-controlled and visible light-enabled selective oxidation of pyridinium salts. Sci China Chem. 2021:1–8.
• [25] Hu Y, Shengchuan W, Philip JW, Huatang C, Pei C, Yajun Z, Zhao S, Tomáš V, Pavel H. Corrosion fatigue lifetime assessment of high-speed railway axle EA4T steel with artificial scratch. Eng Fract Mech. 2021;245:107588.
• [26] Chen A, Wang X, Wang Y, Yang D, Yao F, Zhang W, Wang B, Sewvandi GA, Yang D, Hu D. Additive manufacturing of piezoelectric materials. Adv Func Mater. 2020;30(52):2005141.
• [27] Eisenberger M, Godoy LA. Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular plan form. Thin Walled Struct. 2020;160:107356.
• [28] Ghannadpour SAM, Moradi F, Tornabene F. Exact analytical solutions to the problem of relative post-buckling stiffness of thin nonlocal graphene sheets. Thin Walled Struct. 2020;151:106712.
• [29] Farajpour A, Hairi Yazdi MR, Rastgoo A, Loghmani M, Mohammadi M. Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates. Compos Struct. 2016;140:323–36.
• [30] Dastjerdi S, Akgöz B. New static and dynamic analyses of macro and nano FGM plates using exact three-dimensional elasticity in thermal environment. Compos Struct. 2018;192:626–41.
• [31] Gao N, Tang L, Deng J, Lu K, Hou H, Chen K. Design, fabrication and sound absorption test of composite porous matamaterial with embedding I-plates into porous polyurethane. Appl Acoust. 2021;175:107845.
• [32] Yang X, Li Q, Lu E, Wang Z, Gong X, Yu Z, Guo Y, Wang L, Guo Y, Zhan W, Zhang J, Dai S. Taming the stability of Pd active phases through a compartmentalizing strategy toward nanostructured catalyst supports. Nat Commun. 2019;10:1611.
• [33] Yan X, Huang X, Chen Y, Liu Y, Xi L, Zhang T, Lin H, Jia D, Zhong B, Wen G, Zhou Y. A theoretical strategy of pure carbon materials for lightweight and excellent absorption performance. Carbon. 2021;174:662–72.
• [34] Shen C-L, Lou Q, Zang J-H, Liu K-K, Qu S-N, Dong L, Shan C-X. Near-infrared chemiluminescent carbon nanodots and their application in reactive oxygen species bioimaging. Adv Sci. 2020;7(8):1903525.
• [35] Aydinlik S, Kiris A, Sumelka W. Nonlocal vibration analysis of microstretch plates in the framework of space-fractional mechanics-theory and validation. Eur Phys J Plus. 2021;136:169.
• [36] Lazopoulos AK. On fractional peridynamic deformations. Arch Appl Mech. 2016;86:1987–94.
• [37] Wang H, Du N. Fast solution methods for space-fractional diffusion equations. J Comput Appl Math. 2014;255:376–83.
• [38] Xu Y, Zhou D. Two-dimensional analysis of simply supported piezoelectric beams with variable thickness. Appl Math Model. 2011;35(9):4458–72.
• [39] Zhang K, Zhi Y, Xue M, Xue-Li C, Hai-Hong L, Yao-Yu W. Multifunctional textiles/metal-organic frameworks composites for efficient ultraviolet radiation blocking and noise reduction. ACS Appl Mater Interfaces. 2020;12(49):55316–23.
• [40] Li W-H, Cun-Yao L, Huan-Yan X, Yang L, Wen-Yong H, Guang-Jun J, Zheng J, Hai-Tao T, Ying-Ming P, Yun-Jie D. Constructing mononuclear palladium catalysts by precoordination/solvothermal polymerization: recyclable catalyst for regioselective oxidative heck reactions. Angew Chem Int Ed. 2019;58(8):2448–53.
• [41] Zuo C, Jiasong S, Jiaji L, Jialin Z, Anand A, Qian C. High-resolution transport-of-intensity quantitative phase microscopy with annular illumination. Sci Rep. 2017;7(1):1–22.
• [42] Civalek Ö, Avcar M. Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Eng Comput. 2020. https:// doi. org/ 10. 1007/ s00366- 020- 01168-8.
• [43] Hadji L, Avcar M. Free vibration analysis of FG porous sandwich plates under various boundary conditions. J Appl Comput Mech. 2021;7(2):505–19.
• [44] Moraveji Tabasi H, Eskandari Jam J, Malekzadeh Fard K, Heydari Beni M. Buckling and free vibration analysis of fiber metal-laminated plates resting on partial elastic foundation. J Appl Comput Mech. 2020;6(1):37–51.
• [45] Huang W-Y, Guo-Qing W, Wen-Hao L, Ting-Ting L, Guang-Jun J, Shi-Cheng R, Miao J. Porous ligand creates new reaction route: bifunctional single-atom palladium catalyst for selective distannylation of terminal alkynes. Chem. 2020;6(9):2300–13.
• [46] Liu G, Guimei R, Lei Z, Lei C, Chengtao W, Baoguo S. Antibacterial activity and mechanism of bifidocin A against Listeria monocytogenes. Food Control. 2017;73:854–61.
• [47] Wang P, Ziqiang L, Qing X, Wei D, Xinchun Z, Huilong H. A passive anti-icing strategy based on a superhydrophobic mesh with extremely low ice adhesion strength. J Bion Eng. 2021;18(1):55–64.
• [48] Zuo C, Qian C, Lei T, Laura W, Anand A. Transport of intensity phase retrieval and computational imaging for partially coherent fields: the phase space perspective. Opt Lasers Eng. 2015;71:20–32.
• [49] Rahimi Z, Sumelka W, Yang X-J. A new fractional nonlocal model and its application in free vibration of Timoshenko and Euler-Bernoulli beams. Eur Phys J Plus. 2017;132(11):479.
• [50] Onate AA, Onyeaju MC, Ikot AN, Ebomwonyi O. Eigen solutions and entropic system for Hellmann potential in the presence of the Schrödinger equation. Eur Phys J Plus. 2017;132:462.
• [51] Bauchau OA, Han S. Three-dimensional beam theory for flexible multibody dynamics. J Comput Nonlinear Dyn. 2014;9(4):041011.
• [52] Ma H. Rational approach for higher-order shear deformation beam theories. Compos Struct. 2020;251:112599.
• [53] Lim AW. Three-dimensional vibration analysis of a cantilevered parallelepiped: exact and approximate solutions. J Acoust Soc Am. 1999;106:3375.
• [54] Wang P, Tao L, Ziqiang W, Weidong X, Qing D, Wei HH. A superhydrophobic/electrothermal synergistically anti-icing strategy based on graphene composite. Compos Sci Technol. 2020;198:108307.
• [55] Li X, Feng Y, Liu B, Yi D, Yang X, Zhang W, Chen G, Liu Y, Bai P. Influence of NbC particles on microstructure and mechanical properties of AlCoCrFeNi high-entropy alloy coatings prepared by laser cladding. J Alloy Compd. 2019;788:485–94.
• [56] Lee SB, Lee CY, Hodges DH. On the mechanics of composite sandwich plates with three-dimensional stress recovery. Int J Eng Sci. 2020;157:103406.
• [57] Abbasi S, Farhatnia F, Jazi SR. A semi-analytical solution on static analysis of circular plate exposed to non-uniform axisym-metric transverse loading resting on Winkler elastic foundation. Arch Civ Mech Eng. 2014;14:476–88.
• [58] Zhu X, Fengyuan Z, Zhihong C, Xue H, Hao W, Dengkui T. Jilong enhancing performance of a GaAs/AlGaAs/GaAs nanowire photo detector based on the two-dimensional electron-hole tube structure. Nano Lett. 2020;20(4):2654–9.
• [59] Sladek J, Sladek V, Hellmich Ch, Eberhardsteiner J. Analysis of thick functionally graded plates by local integral equation method. Commun Numer Method Eng. 2007;23:733–54.
• [60] Wen PH, Sladek J, Sladek V. Three-dimensional analysis of functionally graded plates. Int J Numer Method Eng. 2011;87:923–42.

Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)