Thermo-magneto-elasticity analysis of variable thickness annular FGM plates with asymmetric shear and normal loads and non-uniform elastic foundations

• Autorzy: Behravan Rad A , Shariyat M.

Identyfikatory

DOI

10.1016/j.acme.2016.02.006

• Języki publikacji: EN

Abstrakty

EN

In the present research, a semi-analytical three-dimensional solution is developed for transversely graded annular/circular plates resting on non-uniform elastic foundations and subjected to magnetic and thermal fluxes and non-uniform and asymmetric mechanical loads. Thickness of the plate may vary exponentially along the radial direction and the inner and outer edges are restrained. All the thermal, magnetic, and elastic properties are assumed to vary in the transverse direction. Transverse distribution of the temperature is determined analytically for both the specified transverse temperature gradient and specified heat flux thermal conditions. Dependencies of the solution on the radial and transverse coordinates are determined through solving the resulting governing equations by using the differential quadrature and state space approaches in the radial and transverse directions, respectively. Effects of the material heterogeneity, thermal and mechanical boundary conditions, thickness variability, coefficients of the elastic foundation, shear to normal loads ratio, and magnetic field intensity are investigated comprehensively, through a parametric study. Results reveal that complex interactions may be observed among the elastic, thermal, and magnetic responses.

Słowa kluczowe

EN

non-uniform thermo-magnetomechanical loads; thickness variability; functionally graded annular plate; non-uniform elastic foundation; Lorentz force

PL

termosprężystość; siła Lorentza; współczynnik obciążenia

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 16, no. 3
• Strony: 448--466
• Opis fizyczny: Bibliogr. 41 poz., rys., tab., wykr.

Twórcy

autor

Behravan Rad A

• Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran

autor

Shariyat M.

• Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran

Bibliografia

• [1] X.Y. Li, P.D. Li, G.Z. Kang, D.Z. Pan, Axisymmetric thermo-elasticity field in a functionally graded circular plate of transversely isotropic material, Mathematics and Mechanics of Solids 18 (5) (2012) 464–475.
• [2] Y. Wang, R.Q. Xu, H.J. Ding, Analytical solutions of functionally graded piezo-electric circular plates subjected to axisymmetric loads, Acta Mechanica 215 (1–4) (2010) 287– 305.
• [3] X.Y. Li, H.J. Ding, W.Q. Chen, P.D. Li, Three-dimensional piezoelectricity solutions for uniformly loaded circular plates of functionally graded piezoelectric materials with transverse isotropy, ASME Journal of Applied Mechanics 80 (4) (2013) 041007, 12 pp.
• [4] G.J. Nie, R.C. Batra, Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness, Composite Structures 92 (2010) 720–729.
• [5] X.L. Peng, X.F. Li, Thermal stress in rotating functionally graded hollow circular disks, Composite Structures 92 (2010) 1896–1904.
• [6] A. Hassani, M.H. Hojjati, G. Farrahi, R.A. Alashti, Semi-exact elastic solutions for thermo-mechanical analysis of functionally graded rotating disks, Composite Structures 93 (2011) 3239–3251.
• [7] M. Bayat, B.B. Sahari, M. Saleem, A. Ali, S.V. Wong, Thermoelastic solution of a functionally graded variable thickness rotating disk with bending based on the first-order shear deformation theory, Thin-Walled Structures 47 (2009) 568–582.
• [8] O. Sepahi, M.R. Forouzan, P. Malekzadeh, Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM, Composite Structures 92 (2010) 2369–2378.
• [9] M.E. Golmakani, M. Kadkhodayan, Large deflection analysis of circular and annular FGM plates under thermo-mechanical loadings with temperature-dependent properties, Composites Part B: Engineering 42 (2011) 614–625.
• [10] M.E. Golmakani, M. Kadkhodayan, An investigation into the thermoelastic analysis of circular and annular functionally graded material plates, Mechanics of Advanced Materials and Structures 211 (2014) 1–13.
• [11] M. Shariyat, M.M. Alipour, A novel shear correction factor for stress and modal analyses of annular FGM plates with non-uniform inclined tractions and non-uniform elastic foundations, International Journal of Mechanical Sciences 87 (2014) 60–71.
• [12] M.M. Alipour, M. Shariyat, Analytical zigzag-elasticity transient and forced dynamic stress and displacement response prediction of the annular FGM sandwich plates, Composite Structures 106 (2013) 426–445.
• [13] M. Shariyat, M.M. Alipour, Semi-analytical consistent zigzag-elasticity formulations with implicit layerwise shear correction factors for dynamic stress analysis of sandwich circular plates with FGM layers, Composites Part B: Engineering 49 (2013) 43–64.
• [14] Y. Wang, R.Q. Xu, H.J. Ding, Three-dimensional solution of axisymmetric bending of functionally graded circular plates, Composite Structures 92 (7) (2010) 1683–1693.
• [15] 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, Latin American Journal of Solids and Structures 10 (5) (2013) 859–890.
• [16] M. Shariyat, R. Mohammadjani, Three-dimensional stress field analysis of rotating thick bidirectional functionally graded axisymmetric annular plates with nonuniform loads and elastic foundations, Journal of Composite Materials 48 (23) (2014) 2879–2904.
• [17] A. Behravan Rad, Semi-analytical solution for functionally graded solid circular and annular plates resting on elastic foundations subjected to axisymmetric transverse loading, Advances in Applied Mathematics and Mechanics 4 (2012) 205–222.
• [18] A. Behravan Rad, A. Alibeigloo, Semi-analytical solution for the static analysis of 2D functionally graded circular and annular circular plates resting on elastic foundation, Mechanics of Advanced Materials and Structures 20 (7) (2013) 515–528.
• [19] A. Behravan Rad, Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads, Structural Engineering and Mechanics 44 (2012) 139–161.
• [20] 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 Mechanica Solida Sinica 26 (6) (2013) 671–690.
• [21] E. Pan, Exact solution for simply supported and multilayered magneto-electric-elastic plates, ASME Journal of Applied Mechanics 68 (2001) 608–618.
• [22] J.G. Wang, L.F. Chen, S.S. Fang, State vector approach to analysis of multilayered magneto-electroelastic plates, International Journal of Solids and Structures 40 (2003) 1669–1680.
• [23] R.G. Lage, C.M.M. Soares, C.A.M. Soares, J.N. Reddy, Layerwise partial mixed finite element analysis of magneto-electro- elastic plates, Computers & Structures 82 (2004) 1293–1301.
• [24] A. Alaimo, I. Benedetti, A. Milazzo, A finite element formulation for large deflection of multilayered magneto- electro-elastic plates, Composite Structures 107 (2014) 643– 653.
• [25] S. Razavi, A. Shooshtari, Nonlinear free vibration of magneto- electro-elastic rectangular plates, Composite Structures 119 (2015) 377–384.
• [26] R.K. Bhangale, N. Ganesan, Static analysis of simply supported functionally graded and layered magneto- electro-elastic plates, International Journal of Solids and Structures 43 (2006) 3230–3253.
• [27] E. Pan, F. Han, Exact solution for functionally graded and layered magneto-electro-elastic plates, International Journal of Engineering Science 43 (2005) 321–339.
• [28] C. Jiangyi, C. Hualing, P. Ernian, Free vibration of functionally graded, magneto-electro-elastic, and multilayered plates, Acta Mechanica Solida Sinica 19 (2) (2006) 160–166.
• [29] X.Y. Li, H.J. Ding, W.Q. Chen, Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load, Composite Structures 83 (2008) 381–390.
• [30] H.-L. Dai, T. Dai, L. Yang, Free vibration of a FGPM circular plate placed in a uniform magnetic field, Meccanica 48 (2013) 2339–2347.
• [31] 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, Composite Structures 125 (2015) 558–574.
• [32] A. Ghorbanpour Arani, Z. Khoddami Maraghi, M.R. Mozdianfard, A.R. Shajari, Thermo-piezo-magneto- mechanical stresses analysis of FGPM hollow rotating thin disk, International Journal of Mechanics and Materials 6 (2010) 341–349.
• [33] A.M. Zenkour, On the magneto-thermo-elastic responses of FG annular sandwich disks, International Journal of Engineering Science 75 (2014) 54–66.
• [34] X.Y. Li, Y.H. Dong, C. Liu, Y. Liu, C.J. Wang, T.F. Shi, Axisymmetric thermo-magneto-electro-elastic field in a heterogeneous circular plate subjected to a uniform thermal load, International Journal of Mechanical Sciences 88 (2014) 71–81.
• [35] A.C. Ugural, S.K. Fenster, Advanced Strength and Applied Elasticity, fourth ed., Printice Hall, New Jersey, 2003.
• [36] E.M. Purcell, D.J. Morin, Electricity and Magnetism, third ed., Harvard University, Massachusetts, 2013.
• [37] I.A. Abbas, A.M. Zenkour, LS model on electro-magneto- thermoelastic response of an infinite functionally graded cylinder, Composite Structures 96 (2013) 89–96.
• [38] C. Shu, Differential Quadrature and its Application in Engineering, Springer, New York, 2000.
• [39] F. Tornabene, A. Liverani, G. Caligiana, Laminated composite rectangular and annular plates: a GDQ solution for static analysis with a posteriori shear and normal stress recovery, Composites Part B: Engineering 43 (4) (2012) 1847–1872.
• [40] A.J.M. Ferreira, E. Carrera, M. Cinefra, E. Viola, F. Tornabene, N. Fantuzzi, A.M. Zenkour, Analysis of thick isotropic and cross-ply laminated plates by generalized differential quadrature method and a Unified Formulation, Composites Part B: Engineering 58 (2014) 544–552.
• [41] G.J. Nie, Z. Zhong, Semi-analytical solution for three-dimensional vibration of functionally graded circular plates, Computer Methods in Applied Mechanics and Engineering 196 (2007) 4901–4910.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę