Variational asymptotic modeling of the multilayer functionally graded cylindrical shells

Composite Structures

Volumn 94, Issue 3, 2012, Pages 966-976

  Yifeng, Zhong ^a   Lei, Chen ^a   Yu, Wenbin ^b  

^a CHONGQING UNIVERSITY   (China)

^b UTAH STATE UNIVERSITY   (United States)

Author keywords

Asymptotic series; Cylindrical shell; Functionally graded material; Simplified model; Variational asymptotic method

Indexed keywords

ANALYSIS SERVER; ANISOTROPIC ELASTICITY; ASYMPTOTIC SERIES; CYLINDRICAL BENDING; CYLINDRICAL SHELL; FIELD VARIABLES; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED COATINGS; GEOMETRIC NON-LINEARITY; GLOBAL RESPONSE; GLOBAL ROTATION; HIGH FIDELITY; HOMOGENEOUS SUBSTRATES; LARGE DISPLACEMENTS; SHELL ANALYSIS; SHELL MODELS; SHELL STRUCTURE; SIMPLIFIED MODELS; TOP SURFACE; VARIATIONAL ASYMPTOTIC METHODS;

BEAMS AND GIRDERS; CYLINDERS (SHAPES); ELASTICITY; FUNCTIONALLY GRADED MATERIALS; MULTILAYERS; SILICON CARBIDE; THREE DIMENSIONAL;

SHELLS (STRUCTURES);

EID: 84855194372     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2011.10.005     Document Type: Article

References (21)

1. Muller E., Drasar C., Schilz J., Kaysser W.A. Functionally graded materials for sensor and energy applications. Mater Sci Eng A - Struct Mater Prop Microstruct Process 2003, 362(1-2):17-39.
2. Mishnaevsky L.L. Functionally gradient metal matrix composites: numerical analysis of the microstructure-strength relationships. Compos Sci Technol 2006, 66(11-12):1873-1887.
3. Shaw L.L. Thermal residual stresses in plates and coatings composed of multi-layered and functionally graded materials. Composites Part B - Eng 1998, 29(3):199-210.
4. Kashtalyan M., Menshykova M. Three-dimensional elastic deformation of a functionally graded coating/substrate system. Int J Solids Struct 2007, 44(16):5272-5288.
5. Das M., Barut A., Madenci E., Ambur D.R. A triangular plate element for thermo-elastic analysis of sandwich panels with a functionally graded core. Int J Numer Meth Eng 2006, 68(9):940-966.
6. Pan E., Heyliger P.R. Exact solutions for magneto-electro-elastic laminates in cylindrical bending. Int J Solids Struct 2003, 40(24):6859-6876.
7. Vel S.S., Batra R.C. Exact solution for thermoelastic deformations of functionally graded thick rectangular plates. AIAA J 2002, 40(7):1421-1433.
8. Qatu M.S., Sullivan R.W., Wang W. Recent research advances on the dynamic analysis of composite shells: 2000-2009. Compos Struct 2010, 93(1):14-31.
9. Maalawi K.Y. A generalized formulation for radially graded composite cylinders/ rings with maximized buckling stability limits. J Eng Appl Sci 2010, 23(5):129-148.
10. Khazaeinejad P., Najafizadeh M.M., Jenabi J., Isvandzibaei M.R. On the buckling of functionally graded cylindrical shells under combined external pressure and axial compression. J Press Ves Technol-Trans ASME 2010, 132(6):1551-1557.
11. Shariyat M. Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical loads. Int J Mech Sci 2008, 50(12):1561-1571.
12. Yas M.H., Shakeri M., Heshmati M., Mohammadi S. Layer-wise finite element analysis of functionally graded cylindrical shell under dynamic load. J Mech Sci Technol 2011, 25(3):597-604.
13. Bian Z.G., Chen W.Q., Lim C.W., Zhang N. Analytical solutions for single- and multi-span functionally graded plates in cylindrical bending. Int J Solids Struct 2005, 42(24-25):6433-6456.
14. Soldatos K.P., Watson P. A method for improving the stress analysis performance of one- and two-dimensional theories for laminated composites. Acta Mech 1997, 123(1-4):163-186.
15. Yu W.B., Hodges D.H., Volovoi V.V. Asymptotic generalization of Reissner-Mindlin theory: accurate three-dimensional recovery for composite shells. Comput Meth Appl Mech Eng 2002, 191(44):5087-5109.
16. Yu W.B., Hodges D.H., Volovoi V.V. Asymptotically accurate 3-D recovery from Reissner-like composite plate finite elements. Comput Struct 2003, 81(7):439-454.
17. Hodges D.H., Atilgan A.R., Danielson D.A. A geometrically nonlinear-theory of elastic plates. J Appl Mech-Trans ASME 1993, 60(1):109-116.
18. Danielson D.A., Hodges D.H. Nonlinear beam kinematics by decomposition of the rotation tensor. J Appl Mech-Trans ASME 1987, 54(2):258-262.
19. Atilgan A.R., Hodges D.H. On the strain-energy of laminated composite plates. Int J Solids Struct 1992, 29(20):2527-2543.
20. Gilhooley D.F., Batra R.C., Xiao J.R., McCarthy M.A., Gillespie J.W. Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Compos Struct 2007, 80(4):539-552.
21. Yu W.B. Mathematical construction of a Reissner-Mindlin plate theory for composite laminates. Int J Solids Struct 2005, 42(26):6680-6699.