Thermo-Magneto-Elastic-Plastic Analysis of functionally magnetoelastic pressurized thick cylindrical structure
الموضوعات :Sahar Sohrabi 1 , S Rash Ahmadi 2
1 - Department of Mechanical Engineering, Urmia University, Urmia, Iran
2 -
الکلمات المفتاحية: Functionally graded magnetoelastic cylinder, Thermal analysis, Semi-analytical method, Elastic-Plastic, Tresca&rsquo, s criterion.,
ملخص المقالة :
Magneto elastic materials are widely used in various application such as lasers, microwave and ultrasonic devices. In addition, the increasing need for materials that have high thermal and frictional resistance has led to the development of functionally graded materials (FGM). In this article, a semi-analytical method for Thermo-Magneto-Elastic-Plastic analysis of functionally magneto elastic (FM) thick cylinder is studied. FM cylinder placed in a uniform magnetic field and under combined pressure and temperature loads. The material properties vary radially according to power-law distribution. The elastic and elastic-plastic distribution of stresses and radial displacement through the radius are obtained. Also, Tresca’s yield criterion is used to describe material behavior in plastic zone. Effects of grading index (β), pressure, temperature and magnetic intensity vector are discussed. The results shown that by increasing the value of β, internal pressure, external temperature and magnetic intensity vector expands the yield point from inner to outer surface.
[1] R. M. Mahamood, E. T. A. Member, M. Shukla, and S. Pityana, “Functionally Graded Material : An Overview,” vol. III, no. January, 2012.
[2] X. Li, P. Li, and G. Kang, “Axisymmetric thermo-elasticity field in a functionally graded circular plate,” 2012, doi: 10.1177/1081286512442437.
[3] Y. Fukui, Y. Yammanaka, “Elastic Analysis for Thic-Walled Tubes of Functionally Graded Material Subjected to Internal Pressure,” JSME Int. J., vol. 35, no. 5, pp. 683–686, 1991.
[4] M. Jabbari, M. Sohrabpour, S. Eslami, “Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads,” J. Press. Vessel. Pip., vol. 79, no. 7, pp. 493–497, 2002.
[5] N. Tutuncu and M. Ozturk, “Exact solutions for stresses in functionally graded pressure vessels,” vol. 32, pp. 683–686, 2001.
[6] M. R. Eslami, M. H. Babaei, and R. Poultangari, “Thermal and mechanical stresses in a functionally graded thick sphere,” vol. 82, pp. 522–527, 2005, doi: 10.1016/j.ijpvp.2005.01.002.
[7] K. Abrinia, H. Naee, “New Analysis for The FGM Thick Cylinders Under Combined Pressure and Tempreture Loading,” Am. J. Appl. Sci., pp. 852–859, 2008.
[8] X. Li, X, Peng, “A Pressurized Functionally Graded Hollow Cylinder with Arbitrarily Varying Material Properties,” J. Elast., 2009, doi: DOI 10.1007/s10659-009-9199-z A.
[9] X. L. Peng and X. F. Li, “Thermoelastic analysis of a cylindrical vessel of functionally graded materials,” Int. J. Press. Vessel. Pip., vol. 87, no. 5, pp. 203–210, 2010, doi: 10.1016/j.ijpvp.2010.03.024.
[10] Z. Li, Y. Xu, and D. Huang, “Accurate solution for functionally graded beams with arbitrarily varying thicknesses resting on a two-parameter elastic foundation,” J Strain Anal., 2020, doi: 10.1177/0309324720922739.
[11] G. J. Nie, Z. Zhong, and R. C. Batra, “Material tailoring for functionally graded hollow cylinders and spheres,” Compos. Sci. Technol., vol. 71, no. 5, pp. 666–673, 2011, doi: 10.1016/j.compscitech.2011.01.009.
[12] R. Seifi, “EXACT AND APPROXIMATE SOLUTIONS OF THERMOELASTIC STRESSES IN FUNCTIONALLY GRADED CYLINDERS,” J. Therm. Stress., vol. 38, pp. 1163–1182, 2015, doi: 10.1080/01495739.2015.1073513.
[13] W. Q. Chen, “Stress distribution in a rotating elastic functionally graded material hollow sphere with spherical isotropy,” J Strain Anal., no. June 1999, pp. 13–20, 2015.
[14] M. Allam, R, Trntawy, A, Zenkour, “THERMOELASTIC STRESSES IN FUNCTIONALLY GRADED ROTATING ANNULAR DISKS WITH VARIABLE THICKNESS,” J. Theor. Appl. Mech. 56, vol. 56, pp. 1029–1041, 2018, doi: 10.15632/jtam-pl.56.4.1029.
[15] J. W. W. S. . Xie, S. Hao, “Analytical solution of stress in functionally graded cylindrical/spherical pressure vessel,” Appl. Mech., 2021.
[16] H. Mohamed, A. Abdalla, D. Casagrande, and L. Moro, “Thermo-mechanical analysis and optimization of functionally graded rotating disks,” J Strain Anal., 2020, doi: 10.1177/0309324720904793.
[17] H. Dai, Y M. Fu, Z M. Dong, “Exact solutions for functionally graded pressure vessels in a uniform magnetic fiel,” Int. J. Solids Struct., pp. 5570–5580, 2005, doi: 10.1016/j.ijsolstr.2005.08.019.
[18] H. L. Ã. Dai and Y. M. Fu, “Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads,” vol. 84, pp. 132–138, 2007, doi: 10.1016/j.ijpvp.2006.10.001.
[19] A. Ghorbanpour, S. Amir, “Magneto-Thermo-Elastic Stresses and Perturbation of Magnetic Field Vector in a Thin Functionally Graded Rotating Disk,” J. Solid Mech., vol. 3, no. 4, pp. 392–407, 2011.
[20] P. Sarkar, A, Rahman, “Effect ofmagnetic field on the thermo-elastic response of a rotating FGM Circular disk with non-uniform thickness,” J. Strain Anal., pp. 1–16, 2021, doi: 10.1177/03093247211005215.
[21] M. Z. Nejad, M. Jabbari, and M. Ghannad, “A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness,” Acta Mech., vol. 228, no. 1, pp. 215–231, 2017, doi: 10.1007/s00707-016-1709-z.
[22] A. N. Eraslan and T. Akis, “Plane strain analytical solutions for a functionally graded elastic – plastic pressurized tube,” vol. 83, pp. 635–644, 2006, doi: 10.1016/j.ijpvp.2006.07.003.
[23] T. Akis, “Elastoplastic analysis of functionally graded spherical pressure vessels,” Comput. Mater. Sci. J., vol. 46, pp. 545–554, 2009, doi: 10.1016/j.commatsci.2009.04.017.
[24] A. Ozturks, M, Gulgec, “Elastic–plastic stress analysis in a long functionally graded solid cylinder with fixed ends subjected to uniform heat generation,” Int. J. Eng. Sci., vol. 49, pp. 1047–1061, 2011, doi: 10.1016/j.ijengsci.2011.06.001.
[25] S. Rash Ahamdi, “Thermo-elastic/plastic semi-analytical solution of incompressible functionally graded spherical pressure vessel under thermo-mechanical loading,” Springer, pp. 161–173, 2011, doi: 10.1007/s00707-011-0512-0 S.
[26] Z. Mazarei and M. Z. Nejad, “Thermo-Elasto-Plastic Analysis of Thick-Walled Spherical,” Int. J. Appl. Mech., vol. 8, no. 4, pp. 1–25, 2016, doi: 10.1142/S175882511650054X.
[27] S. Alikarami, A, Parvizi, “Elasto-plastic analysis and finite element simulation of thick-walled functionally graded cylinder subjected to combined pressure and thermal loading,” Sci. Eng. Compos. Mater., 2016, doi: 10.1515/secm-2015-001.
[28] P. Shi and J. Xie, “Exact solution of magneto-elastoplastic problem of functionally graded cylinder subjected to internal pressure,” Appl. Math. Model., vol. 123, pp. 835–855, 2023, doi: 10.1016/j.apm.2023.08.014.
[29] H. L. Dai and X. Wang, “Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field,” vol. 41, pp. 5231–5246, 2004, doi: 10.1016/j.ijsolstr.2004.04.019.
[30] E. Mahdavi, A. Ghasemi, and R. Akbari, “Elastic – plastic analysis of functionally graded rotating disks with variable thickness and temperature-dependent material properties under mechanical loading and unloading,” Aerosp. Sci. Technol., vol. 59, pp. 57–68, 2016, doi: 10.1016/j.ast.2016.10.011.
[31] A. Dini, M. A. Nematollahi, and M. Hosseini, “Analytical solution for magneto-thermo-elastic responses of an annular functionally graded sandwich disk by considering internal heat generation and convective boundary condition,” Journal of Sandwich Structures and Materials, vol. 23, no. 2. pp. 542–567, 2021. doi: 10.1177/1099636219839161.
