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Nonlocal zigzag analytical solution for Laplacian hygrothermal stress analysis of annular sandwich macro/nanoplates with poor adhesions and 2D-FGM porous cores

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A zigzag nonlocal model is presented for annular/circular sandwich macro- and nanoplates with bidimensional graded porous cores and weak interfacial adhesions. This is the first time that a stress analysis is performed in the framework of Eringen's nonlocality concept. In this regard, after determination of the displacements by utilizing a power series solution, the governing Laplacian equations of the stress components in terms of the displacement components are solved in a post-processing stage, using a power series solution in terms of stress parameters. Effects of the thermal stresses and material degradation and deterio-ration due to the temperature rise and moisture absorption are also taken into account. To guarantee continuity of the transverse shear and normal stresses, the bonding layers are modeled by spring elements. To present a general model, it is assumed that the core porosity changes in both radial and transverse directions. It is the first time that the effects of the porosity are investigated on transverse distributions of the displacement and stress com-ponents. The results have captured the significant effects of the nonlocality, moisture absorption, and bond strength on the stress and lateral deflection results, and especially, the abrupt changes in the in-plane displacement and stress components at the interfaces.
Rocznik
Strony
1211--1234
Opis fizyczny
Bibliogr. 40 poz., rys., tab., wykr.
Twórcy
  • Department of Mechanical Engineering, University of Mazandaran, Babolsar 47416-13534, Iran
autor
  • Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran 19991-43344, Iran
Bibliografia
  • [1] M. Mohammadimehr, M. Emdadi, H. Afshari, B. Rousta Navi, Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydro-thermo-magneto-mechanical loadings using DQM, Int. J. Smart Nano Mater. 9 (2018) 233–260.
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  • [4] S.D. Akbas, Thermal effects on the vibration of functionally graded deep beams with porosity, Int. J. Appl. Mech. 9 (2017) 1750076.
  • [5] J. Sladek, V. Sladek, M. Gfrerer, M. Schanz, Mindlin theory for the bending of porous plates, Acta Mech. 226 (2015) 1909–1928.
  • [6] Y. Xiang, H. Jiang, J. Lu, Analyses of dynamic characteristics of a fluid-filled thin rectangular porous plate with various boundary conditions, Acta Mech. Solida Sin. 30 (2017) 87–97.
  • [7] M. Jabbari, E.F. Joubaneh, A. Mojahedin, Thermal buckling analysis of porous circular plate with piezoelectric actuators based on first order shear deformation theory, Int. J. Mech. Sci. 83 (2014) 57–64.
  • [8] G.W. Scherer, J.H. Prévost, Z.H. Wang, Bending of a poroelastic beam with lateral diffusion, Int. J. Solids Struct. 46 (2009) 3451–3462.
  • [9] X. Yang, Q. Wen, Dynamic and quasi-static bending of saturated poroelastic Timoshenko cantilever beam, Appl. Math. Mech. 31 (2010) 995–1008.
  • [10] K. Kiani, H.G. Avili, A.N. Kojorian, On the role of shear deformation in dynamic behavior of a fully saturated poroelastic beam traversed by a moving load, Int. J. Mech. Sci. 94 (2015) 84–95.
  • [11] F. Ebrahimi, S. Habibi, Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate, Steel Compos. Struct. 20 (2016) 205–225.
  • [12] A. Behravan Rad, M. Shariyat, Three-dimensional magneto- elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations, Compos. Struct. 125 (2015) 558–574.
  • [13] M. Shariyat, Z. Sarvi, M. Asgari, A unit-cell-based three-dimensional molecular mechanics analysis for buckling load, effective elasticity and Poisson's ratio determination of the nanosheets, Mol. Simulat. 42 (2016) 353–369.
  • [14] Z. Sarvi, M. Asgari, M. Shariyat, H. Saeidi Googarchin, Explicit expressions describing elastic properties and buckling load of BN nanosheets due to the effects of vacancy defects, Superlattices Microstruct. 88 (2015) 668–678.
  • [15] S. Hosseini-Hashemi, M. Bedroud, R. Nazemnezhad, An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity, Compos. Struct. 103 (2013) 108–118.
  • [16] A.R. Ashoori, E. Salari, S.S. Vanini, Size-dependent thermal stability analysis of embedded functionally graded annular nanoplates based on the nonlocal elasticity theory, Int. J. Mech. Sci. 119 (2016) 396–411.
  • [17] M. Mahinzare, H. Ranjbarpur, M. Ghadiri, Free vibration analysis of a rotary smart two directional functionally graded piezoelectric material in axial symmetry circular nanoplate, Mech. Syst. Signal Process. 100 (2018) 188–207.
  • [18] M. Mahinzare, M.J. Alipour, S.A. Sadatsakkak, M. Ghadiri, A nonlocal strain gradient theory for dynamic modeling of a rotary thermo piezo electrically actuated nano FG circular plate, Mech. Syst. Signal Process. 115 (2019) 323–337.
  • [19] A. Ahmadi, A. Ghassemi, Investigation both actions of elastic foundation parameters and small scale effect on axisymmetric bending of annular single-layered graphene sheet resting on an elastic medium, Physica E 103 (2018) 208–226.
  • [20] S. Sahmani, M.M. Aghdam, T. Rabczuk, Nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets based upon nonlocal strain gradient theory, Compos. Struct. 186 (2018) 68–78.
  • [21] M.M. Alipour, M. Shariyat, M. Shaban, A semi-analytical solution for free vibration of variable thickness two- directional-functionally graded plates on elastic foundations, Int. J. Mech. Mater. Design 6 (2010) 293–304.
  • [22] M.M. Alipour, M. Shariyat, Semianalytical solution for buckling analysis of variable thickness two-directional functionally graded circular plates with nonuniform elastic foundations, ASCE J. Eng. Mech. 139 (2013) 664–676.
  • [23] M. Shariyat, M.M. Alipour, Differential transform vibration and modal stress analyses of circular plates made of two- directional functionally graded materials resting on elastic foundations, Arch. Appl. Mech. 81 (2011) 1289–1306.
  • [24] M. Shariyat, M.M. Alipour, A power series solution for vibration and complex modal stress analyses of variable thickness viscoelastic two-directional FGM circular plates on elastic foundations, Appl. Math. Model. 37 (2013) 3063–3076.
  • [25] M. Shariyat, R. Jafari, Nonlinear low-velocity impact response analysis of a radially preloaded two-directional-functionally graded circular plate: a refined contact stiffness approach, Composites Part B 45 (2013) 981–994.
  • [26] M. Shariyat, R. Jafari, A micromechanical approach for semi-analytical low-velocity impact analysis of a bidirectional functionally graded circular plate resting on an elastic foundation, Meccanica 48 (2013) 2127–2148.
  • [27] A. Behravan Rad, M. Shariyat, A three-dimensional elasticity solution for two-directional FGM annular plates with non-uniform elastic foundations subjected to normal and shear tractions, Acta Mech. Solida Sin. 26 (2013) 671–690.
  • [28] M. Shariyat, R. Mohammadjani, Three-dimensional compatible finite element stress analysis of spinning two-directional FGM annular plates and disks with load and elastic foundation non-uniformities, Lat. Am. J. Solids Struct. 10 (2013) 859–890.
  • [29] M. Shariyat, R. Mohammadjani, Three-dimensional stress field analysis of rotating thick bidirectional functionally graded axisymmetric annular plates with nonuniform loads and elastic foundations, J. Compos. Mater. 48 (2014) 2879–2904.
  • [30] M.H. Mansouri, M. Shariyat, Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations, Composites Part B 83 (2015) 88–104.
  • [31] A. Behravan Rad, M. Shariyat, Thermo-magneto-elasticity analysis of variable thickness annular FGM plates with asymmetric shear and normal loads and non-uniform elastic foundations, Arch. Civil Mech. Eng. 16 (2016) 448– 466.
  • [32] M. Shariyat, M. Ghafourinam, Hygrothermomechanical creep and stress redistribution analysis of thickwalled FGM spheres with temperature and moisture dependent material properties and inelastic radius changes, Int. J. Pres. Ves. Pip. 169 (2019) 94–114.
  • [33] M.M. Alipour, M. Shariyat, Analytical layerwise stress and deformation analysis of laminated composite plates with arbitrary shapes of interfacial imperfections and discontinuous lateral deflections, Compos. Struct. 200 (2018) 88–102.
  • [34] W. Chen, X. Li, A new modified couple stress theory for anisotropic elasticity and microscale laminated Kirchhoff plate model, Arch. Appl. Mech. 84 (2014) 323–341.
  • [35] S. Yang, W. Chen, On hypotheses of composite laminated plates based on new modified couple stress theory, Compos. Struct. 133 (2015) 46–53.
  • [36] J. Guo, J. Chen, E. Pan, Analytical three-dimensional solutions of anisotropic multilayered composite plates with modified couple-stress effect, Compos. Struct. 153 (2016) 321–331.
  • [37] H. Salehipour, H. Nahvi, A. Shahidi, H.R. Mirdamadi, 3D elasticity analytical solution for bending of FG micro/ nanoplates resting on elastic foundation using modified couple stress theory, Appl. Math. Model. 47 (2017) 174–188.
  • [38] M. Shariyat, Non-linear dynamic thermo-mechanical buckling analysis of the imperfect sandwich plates based on a generalized three-dimensional high-order global–local plate theory, Compos. Struct. 92 (2010) 72–85.
  • [39] M. Shariyat, A generalized high-order global–local plate theory for nonlinear bending and buckling analyses of imperfect sandwich plates subjected to thermo-mechanical loads, Compos. Struct. 92 (2010) 130–143.
  • [40] M.M. Alipour, M. Shariyat, Analytical stress analysis of annular FGM sandwich plates with non-uniform shear and normal tractions, employing a zigzag-elasticity plate theory, Aerosp. Sci. Technol. 32 (2014) 235–259.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ee7d6073-4164-44db-8ef1-8ab1afbeb490
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