Hygrothermal Creep and Stress Redistribution Analysis of Temperature and Moisture Dependent Magneto-Electro-Elastic Hollow Sphere
محورهای موضوعی : Engineering
M Saadatfar
1
(Department of Mechanical Engineering, University of Qom, Qom, Iran)
کلید واژه: Time-dependent creep, Thick-walled sphere, Hygrothermal analysis, Magneto-electro-elastic (MEE),
چکیده مقاله :
In this article, the time-dependent stress redistribution analysis of magneto-electro-elastic (MEE) thick-walled sphere subjected to mechanical, electrical, magnetic and uniform temperature gradient as well as moisture concentration gradient is presented. Combining constitutive equations of MEE with stress-strain relations as well as strain-displacement relations results in obtaining a differential equation in which there are the creep strains. At the first step, discounting creep strains in the mentioned equation, an analytical solution for the hygro-thermo-magneto-electro-elastic behavior is achieved at the initial state. After that, the creep stress rates can be achieved by keeping only the creep strains in the differential equation for the steady-state condition. The analysis is done by applying the Prandtl-Reuss equations as well as Norton’s law in creep behavior modeling. Finally, the history of stresses, displacement as well as magnetic and potential field, at any time, is achieved using an iterative method. Results show that the increase in tensile hoop stress resulted from creep progress must be considered in design progress. Also, the effect of hygrothermal loading is more extensive after creep evolution.
Saadatfar M., Aghaie-Khafri M., 2015, Electro magneto thermo elastic behavior of a rotating imperfect hybrid functionally graded hollow cylinder resting on an elastic foundation, Smart Structures and Systems 15:1411-1437.
[2] Saadatfar M., Aghaie-Khafri M., 2015, On the magneto-thermo-elastic behavior of a FGM cylindrical shell with pyroelectric layers featuring interlaminar bonding imperfections rested in an elastic foundation, Journal of Solid Mechanics 7: 344-363.
[3] Saadatfar M., 2018, 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: 93-110.
[4] Ghorbanpour Arani A., Mosallaie Barzoki A.A., Kolahchi R., Mozdianfard M.R., Loghman A., 2011, Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder, Computers & Structures 89: 1494-1502.
[5] Smittakorn W., Heyliger P.R., 2000, A discrete-layer model of laminated hygrothermo piezoelectric plates mech, Composite Materials and Structures 7: 79-104.
[6] Smittakorn W., Heyliger P.R., 2001, An adaptive wood composite: theory, Wood Fiber Science 33: 595-608.
[7] Raja S., Sinha P.K., Prathap G., Dwarakanthan D., 2004, Thermally induced vibration control of composite plates and shells with piezoelectric active damping, Smart Materials and Structures 13: 939-950.
[8] Dai H.L., Wang X., 2006, Magneto–thermo–electro–elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings, International Journal of Solids and Structures 43: 5628-5646.
[9] Akbarzadeh A.H., Chen Z.T., 2012, Magneto electro elastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading, Smart Materials and Structures 21: 125013.
[10] Akbarzadeh A., Chen Z., 2014, Thermo-magneto-electro-elastic responses of rotating hollow cylinders, Mechanics of Advanced Materials and Structures 21: 67-80.
[11] Saadatfar M., Aghaie-Khafri M., 2015, On the behavior of a rotating functionally graded hybrid cylindrical shell with imperfect bonding subjected to hygrothermal condition, Journal of Thermal Stresses 38: 854-881.
[12] Saadatfar M., Aghaie-Khafri M., 2015, Hygrothermal analysis of a rotating smart exponentially graded cylindrical shell with imperfect bonding supported by an elastic foundation, Aerospace Science and Technology 43: 37-50.
[13] Saadatfar M., 2015, Effect of multiphysics conditions on the behavior of an exponentially graded smart cylindrical shell with imperfect bonding, Meccanica 50: 2135-2152.
[14] Wang H.M., Ding H.J., 2006, Transient responses of a magneto-electro-elastic hollow sphere for fully coupled spherically symmetric problem, European Journal of Mechanics A/Solids 25: 965-980.
[15] Wang H.M., Ding H.J., 2007, Radial vibration of piezoelectric/magneto strictive composite hollow sphere, Journal of Sound Vibration 307: 330-348.
[16] Ootao Y., Ishihara M., 2012, Exact solution of transient thermal stress problem of a multilayered magneto-electro-thermoelastic hollow sphere, Applied Mathematical Modeling 36: 1431-1443.
[17] Chen J.Y., Pan E., Heyliger P.R., 2015, Static deformation of a spherically anisotropic and multilayered magneto-electro-elastic hollow sphere, International Journal of Solids and Structures 60: 66-74.
[18] Saadatfar M., Aghaie-Khafri M., 2014, Hygrothermo magneto electro elastic analysis of a functionally graded magneto electro elastic hollow sphere resting on an elastic foundation, Smart Materials and Structures 23: 035004.
[19] Saadatfar M., 2019, Stress redistribution analysis of piezomagnetic rotating thick-walled cylinder with temperature-and moisture-dependent material properties, Journal of Applied and Computational Mechanics 6: 90-104.
[20] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., Loghman A., 2013, The effect of time-dependent creep on electro-thermo-mechanical behaviors of piezoelectric sphere using Mendelson’s method, European Journal of Mechanics A/Solids 37: 318-328.
[21] Jabbari M., Tayebi M.S., 2016, Time-dependent electro–magneto–thermo elastic stresses of a poro-piezo-functionally graded material hollow sphere, Journal of Pressure Vessel Technology 138: 051201.
[22] Loghman A., Tourang H., 2016, Non-stationary electro-thermo-mechanical creep response and smart deformation
control of thick-walled sphere made of polyvinylidene fluoride, Journal of Brazilian Society of Mechanical Science and Engineering 38:2547-2561.
[23] Saadatfar M., Rastgoo A., 2008, Stress in piezoelectric hollow sphere with thermal gradient, Journal of Mechanical Science and Technology 22: 1-8.
[24] Bakhshizadeh A., Zamani Nejad M., Davoudi Kashkoli M., 2017, Time-dependent hygro-thermal creep analysis of pressurized fgm rotating thick cylindrical shells subjected to uniform magnetic field, Journal of Solid Mechanics 9: 663-679.
[25] Shariyat M., Ghafourinam M, 2019, Hygrothermo mechanical creep and stress redistribution analysis of thick-walled FGM spheres with temperature and moisture dependent material properties and inelastic radius changes, International Journal of Pressure Vessels and Piping 169: 94-114.
[26] Saadatfar M., 2019, Time-dependent creep response of magneto-electro-elastic rotating disc in thermal and humid environmental condition, AUT Journal of Mechanical Engineering.(In Press)
[27] Ghorbanpour A., Golabi S., Saadatfar M., 2006, Stress and electric potential fields in piezoelectric smart spheres, Journal of Mechanical Science and Technology 20: 1920-1933.
