Effect of Exponentially-Varying Properties on Displacements and Stresses in Pressurized Functionally Graded Thick Spherical Shells with Using Iterative Technique
Subject Areas : Engineering
M
Zamani Nejad
1
(Mechanical Engineering Department, Yasouj University)
A
Rastgoo
2
(Mechanical Engineering Department, University of Tehran)
A
Hadi
3
(Mechanical Engineering Department, University of Tehran)
Keywords:
Abstract :
[1] Zenkour A. M., 2012, Dynamical bending analysis of functionally graded infinite cylinder with rigid core, Applied Mathematics and Computation 218: 8997-9006.
[2] Kalali A. T., Hadidi-Moud S., 2013, A semi-analytical approach to elastic-plastic stress analysis of FGM pressure vessels, Journal of Solid Mechanics 5(1): 63-73.
[3] Shariyat M., 2009, A rapidly convergent nonlinear transfinite element procedure for transient thermoelastic analysis of temperature-dependent functionally graded cylinders, Journal of Solid Mechanics 1(4): 313-327.
[4] Tutuncu N., Ozturk M., 2000, Exact solutions for stresses in functionally graded pressure vessels, Composites Part B-Engineering 32(8): 683-686.
[5] You L. H., Zhang J. J., You X. Y., 2005, Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials, International Journal of Pressure Vessels and Piping 82(5): 347-354.
[6] Chen Y. Z., Lin X. Y., 2008, Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Computational Materials Science 44(2): 581-587.
[7] Li X. F., Peng X. L., 2009, Kang Y. A., Pressurized hollow spherical vessels with arbitrary radial nonhomogeneity, AIAA Journal 47(9): 2262-2265.
[8] Tutuncu N., Temel B., 2009, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Composite Structures 91(3): 385-390.
[9] Nejad M. Z., Rahimi G. H., Ghannad M., 2009, Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system, Mechanika 77(3): 18-26.
[10] Borisov A. V., 2010, Elastic analysis of multilayered thick-walled spheres under external load, Mechanika 84(4): 28-32.
[11] Nie G. J., Zhong Z., Batra R. C., 2011, Material tailoring for functionally graded hollow cylinders and spheres, Composites Science and Technology 71(5): 666-673.
[12] Ghannad M., Nejad M. Z., 2012, Complete closed-form solution for pressurized heterogeneous thick spherical shells, Mechanika 18(5): 508-516.
[13] Nejad M. Z., Abedi M., Lotfian M. H., Ghannad M., 2012, An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties, Journal of Mechanical Science and Technology 26(12): 4081-4087.
[14] Hassani A., Hojjati M. H., Farrahi G., Alashti R. A., 2011, Semi-exact elastic solutions for thermo-mechanical analysis of functionally graded rotating disks, Composite Structures 93: 3239-3251.
[15] Adomian G., 1998, A review of the decomposition method in applied mathematics, Journal of Mathematical Analysis and Applications 135: 501-544.
[16] He J.H., 1999, Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering 178: 257-262.
[17] He J.H., 2004, Comparison of homotopy perturbation method and homotopy analysis method, Applied Mathematics and Computation 156: 527-539.
[18] He J.H., 2004, Asymptotology by homotopy perturbation method, Applied Mathematics and Computation 156: 591-596.
[19] He J.H., 2005, Homotopy perturbation method for bifurcation of nonlinear problems, International Journal of Nonlinear Sciences and Numerical Simulation 6: 207-208.
[20] He J.H., 2005, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons & Fractals 26: 695-700.
[21] He J.H., 2006, Some asymptotic methods for strongly nonlinear equations, International Journal of Modern Physics B 20: 1141-1199.
[22] Olver P. J., 1996, Applications of Lie Groups to Differential Equations, Berlin, Springer.
[23] Gardner C. S., Kruskal M. D., Miura R. M., 1967, Method for solving the Korteweg-de Vries equation, Physical Review Letters 19: 1095-1097.
[24] Hirota R., 1971, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Physical Review Letters 27: 1192-1194.
[25] Wang M. L., Exact solutions for a compound KdV-Burgers equation, Physical Review Letters 213: 279-287.
[26] He J.H., 2000, Variational iteration method for autonomous ordinary differential systems, Applied Mathematics and Computation 114: 115-123.
[27] He J.H., 1998, Approximate analytical solution for seepage flow with fractional derivatives in porous media, Computer Methods in Applied Mechanics and Engineering 167: 57-68.
[28] He J.H., 1998, Approximate solution of nonlinear differential equations with convolution product nonlinearities, Computer Methods in Applied Mechanics and Engineering 167: 69-73.
[29] He J.H., Wu X.H., 2006, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Solitons & Fractals 29: 108-113.
[30] Hojjati M. H., Jafari S., 2007, Variational iteration solution of elastic non uniform thickness and density rotating disks, Far East Journal of Applied Mathematics 29: 185-200.
[31] Hojjati M. H., Jafari S., 2008, Semi-exact solution of elastic non-uniform thickness and density rotating disks by homotopy perturbation and Adomian’s decomposition methods, International Journal of Pressure Vessels and Piping 85: 871-878.
[32] Hojjati M. H., Jafari S., 2009, Semi-exact solution of non-uniform thickness and density rotating disks, International Journal of Pressure Vessels and Piping 86: 307-318.
[33] Asghari M., Ghafoori E., 2010, A three-dimensional elasticity solution for functionally graded rotaing disks, Composite Structures 92: 1092-1099.
[34] Temimi H., Ansari A. R., 2011, A semi-analytical iterative technique for solving nonlinear problems, Computers & Mathematics with Applications 61: 203-210.
[35] Temimi H., Ansari A. R., 2011, A new iterative technique for solving nonlinear second order multi-point boundary value problems, Applied Mathematics and Computation 218: 1457-1466.
