Time-Dependent Creep Response of Magneto-Electro-Elastic Rotating Disc in Thermal and Humid Environmental Condition

Document Type : Research Article

Author

Department of Mechanical Engineering, University of Qom

Abstract

The aim of this paper is to analyze the time-dependent stress redistribution of a rotating magneto-electro-elastic disc. The disc is supposed to be placed in an axisymmetric temperature and moisture fields. Besides, the disc is under a centrifugal body force, an induced electric potential in addition to magnetic potential. Using equilibrium, electrostatic and magnetostatic equations, straindisplacement and stress-strain relations together with hygrothermal equations, a differential equation is obtained in which there are creep strains. Primarily, disregarding the creep strain, an analytical solution for the initial stresses, electromagnetic potentials and displacement is developed. Then, using Prandtl- Reuss relations, creep stress rates and electromagnetic potentials rates are obtained. Finally, the history of stresses, electric and magnetic potentials is obtained iteratively. In the numerical section, the influence of creep evolution, hygrothermal environmental condition, angular velocity and temperature- and moisture-dependency of elastic coefficients on the behavior of magneto-electro-elastic disc is analyzed comprehensively. The results show that the effect of hygrothermal loading and angular velocity becomes less significant after creep evolution. Also, the results imply that analysis of the effect of temperature- and moisture- dependence after creep evolution must be considered in the design progress. Besides, to avoid cracking, increasing in the tensile hoop stress at the internal surface with increasing in hygrothermal loading must be considered in design progress..

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References

[1] S. B. Singh, S. Ray, Modeling the anisotropy and creep in orthotropic aluminum-silicon carbide composite rotating disc, Mechanics of Materials, 34(6) (2002) 363-372.
[2] M. Saadatfar, Effect of Interlaminar Weak Bonding and Constant Magnetic Field on the Hygrothermal Stresses of a FG Hybrid Cylindrical Shell Using DQM, Journal of Stress Analysis, 3(1) (2018) 93-110.
[3] A. H. Akbarzadeh, Z. T. Chen, Hygrothermal stresses in one-dimensional functionally graded piezoelectric media in constant magnetic field, Composite Structure, 97 (2013) 317–331.
[4] M. N. M. Allam, A. M. Zenkour, R. Tantawy, Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment, Advances in Applied Mathematics and Mechanics, 6(2) (2014) 233-246.
[5] M. Saadatfar, M. Aghaie-Khafri, Hygrothermomagnetoelectroelastic analysis of a functionally graded magnetoelectroelastic hollow sphere resting on an elastic foundation, Smart Materials and Structures, 23(3), (2014) 1-13.
[6] M. Saadatfar, M. Aghaie-Khafri, Electromagnetothermoelastic behavior of a rotating imperfect hybrid functionally graded hollow cylinder resting on an elastic foundation, Smart Structures and Systems 15(6) (2015) 1411-1437.
[7] M. Saadatfar, M. Aghaie-Khafri, Hygrothermal analysis of a rotating smart exponentially graded cylindrical shell with imperfect bonding supported by an elastic foundation, Aerospace Science and Technology, 43 (2015) 37–50.
[8] M. Saadatfar, M. Aghaie-Khafri, On the magnetothermo- elastic behavior of a FGM cylindrical shell with pyroelectric layers featuring interlaminar bonding imperfections rested in an elastic foundation, Journal of Solid Mechanics, 7(3), (2015) 344-363.
[9] M. Saadatfar, M. Aghaie-Khafri, Thermoelastic analysis of a rotating functionally graded cylindrical shell with functionally graded sensor and actuator layers on an elastic foundation placed in a constant magnetic field, Journal of Intelligent Materials Systems and Structures, 27 (2015) 512-527.
[10] M. Saadatfar, M. Aghaie-Khafri, On the behavior of a rotating functionally graded hybrid cylindrical shell with imperfect bonding subjected to hygrothermal condition, Journal of Thermal Stresses, 38 (2015) 854–881.
[11] M. Saadatfar, Effect of multiphysics conditions on the behavior of an exponentially graded smart cylindrical shell with imperfect bonding, Meccanica, 50 (2015) 2135–2152.
[12] A. M. Zenkour, Bending analysis of piezoelectric exponentially graded fiber-reinforced composite cylinders in hygrothermal environments, International Journal of Mechanics and Materials in Design, 13(4) (2017) 515–529.
[13] M. Vinyas, S. C. Kattimani, Hygrothermal Analysis of Magneto-Electro-Elastic Plate using 3D Finite Element Analysis, Composite Structures, 180 (2017) 617-637.
[14] T. Dai, H. L. Dai, Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment, Applied Mathematical Modelling, 45 (2017) 900–924.
[15]V. K. Gupta, S.B. Singh, H.N. Chandrawat, S. Ray, Creep behavior of a rotating functionally graded composite disc operating under thermal gradient. Metallurgical and Materials Transactions A, 35 (2004) 1381–1391.
[16] D. Deepak, V. K. Gupta, A. K. Dham, Creep modeling in functionally graded rotating disc of variable thickness, Journal of Mechanical Science and Technology, 24(11) (2010) 2221-2232.
[17] M. Rattan, N. Chamoli and S.B. Singh, Creep analysis of an isotropic functionally graded rotating disc, International Journal of Contemporary Mathematical Sciences, 5(9) (2010) 419–431.
[18] D. Dharmpal, M. Garg, V.K. Gupta, Creep behavior of rotating FGM disc with linear and hyperbolic thickness profiles. Kragujevac Journal of Science, 37 (2015) 35– 48.
[19] V. Gupta, S.B. Singh, Mathematical modeling of creep in a functionally graded rotating disc with varying thickness. Regenerative Engineering and Translational Medicine, 2(3) (2016) 126–140.
[20] T. Bose, M. Rattan, Effect of thermal gradation on steady state creep of functionally graded rotating disc, European Journal of Mechanics / A Solids, 67 (2018) 169–176.
[21] A. Loghman, M. Abdollahian, A. Jafarzadeh Jazi, A. Ghorbanpour Arani, Semi-analytical solution for electromagnetothermoelastic creep response of functionally graded piezoelectric rotating disk, International Journal of Thermal Sciences, 65 (2013) 254-266.
[22] A. Loghman and M. Azami, A novel analytical-numerical solution for nonlinear time-dependent electro-thermomechanical creep behavior of rotating disk made of piezoelectric polymer, Applied Mathematical Modelling, 40 (2016) 4795–4811.
[23] D. Zhou, M. Kamlah, Room-temperature creep of soft PZT under static electrical and compressive stress loading, Acta Materialia 54(5) (2006) 1389-1396.
[24] W. J. Chang, Transient hygrothermal responses in a solid cylinder by linear theory of coupled heat and moisture, Applied Mathematical Modelling, 18 (1994) 467-473.
[25] A.H. Akbarzadeh, Z.T. Chen, Magnetoelectroelastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading, Smart Materials and Structures, 21 (2012) 125-133.
[26] M. Saadatfar, A.S. Razavi, Piezoelectric hollow cylinder with thermal gradient, Journal of Mechanical Science and Technology, 23 (2009) 45-53.
[27] H. L. Dai, H. J. Jiang, L. Yang, Time-dependent behaviors of a FGPM hollow sphere under the coupling of multifields, Solid State Sciences, 14 (2012) 587-597.
[28] S.A. Hosseini Kordkheili, R. Naghdabadi, Thermoelastic analysis of a functionally graded rotating disk, Composite Structures, 79 (2007) 508-516.
AUT Journal of Mechanical Engineering
Volume 4, Issue 1
Winter 2020
Pages 103-118

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