Elastic and viscoelastic solutions to rotating functionally graded hollow and solid cylinders

Applied Mathematics and Mechanics (English Edition)

Volumn 29, Issue 12, 2008, Pages 1601-1616

  Zenkour, A M ^a,b   Elsibai, K A ^c   Mashat, D S ^a  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b Kafr El Sheikh University   (Egypt)

^c MANSOURA UNIVERSITY   (Egypt)

Author keywords

Functionally graded materials; Hollow cylinder; Rotating; Solid shaft

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY VALUE PROBLEMS; CRACK INITIATION; CYLINDERS (SHAPES); DEFORMATION; ELASTICITY; PLATES (STRUCTURAL COMPONENTS); POISSON RATIO; ROTATION; STRESS-STRAIN CURVES;

ANALYTICAL SOLUTIONS; COMPATIBILITY EQUATIONS; DEFORMATION THEORY OF ELASTICITIES; EQUILIBRIUM EQUATIONS; GOVERNING EQUATIONS; HOLLOW CYLINDER; HYPERGEOMETRIC FUNCTIONS; ISOTROPIC CYLINDERS; MATERIAL DENSITIES; POISSON'S RATIOS; RADIAL DIRECTIONS; ROTATING; SOLID CYLINDERS; STRESS STRAINS; TIME PARAMETERS; VISCOELASTIC CYLINDERS; VISCOELASTIC SOLUTIONS; YOUNG'S MODULUS;

FUNCTIONALLY GRADED MATERIALS;

EID: 57749192213     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-008-1208-x     Document Type: Article

References (25)

1. M. Koizumi 1993 The concept of FGM[J] Ceramic Trans Funct Grad Mater 34 3 10
2. G. N. Praveen J. N. Reddy 1998 Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates[J] International Journal of Solids and Structures 35 33 4457 4476
3. J. N. Reddy C. D. Chin 1998 Thermomechanical analysis of functionally graded cylinders and plates[J] Journal of Thermal Stresses 21 6 593 626
4. C. T. Loy K. Y. Lam J. N. Reddy 1999 Vibration of functionally graded cylindrical shells[J] International Journal of Mechanical Science 41 3 309 324
5. J. N. Reddy 2000 Analysis of functionally graded plates[J] International Journal for Numerical Methods in Engineering 47 1/3 663 684
6. A. M. Zenkour 2006 Generalized shear deformation theory for bending analysis of functionally graded plates[J] Applied Mathematical Modelling 30 1 67 84
7. A. M. Zenkour 2005 A comprehensive analysis of functionally graded sandwich plates: part 1-deflection and stresses; part 2-buckling and free vibration[J] International Journal of Solids and Structures 42 18/19 5224 5258
8. Timoshenko S P, Goodier J N. Theory of elasticity[M]. 3rd Ed. New York: McGraw-Hill, 1970.
9. Lekhnitskii S G. Theory of elasticity of an anisotropic elastic body[M]. San Francisco: Holden Day, 1963.
10. M. A. Kalam T. R. Tauchert 1978 Stresses in an orthotropic elastic cylinder due to a plane temperature distribution[J] Journal of Thermal Stresses 1 1 13 24
11. U. Gamer 1985 Stress distribution in the rotating elastic-plastic disk[J] ZAMM 65 3 136 137
12. U. Güven 1992 Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density[J] International Journal of Mechanical Sciences 34 11 133 138
13. L. H. You J. J. Zhang 1999 Elastic-plastic stresses in a rotating solid disk[J] International Journal of Mechanical Sciences 41 3 269 282
14. A. N. Eraslan Y. Orcan 2002 On the rotating elastic-plastic solid disk of variable thickness having concave profiles[J] International Journal of Mechanical Sciences 44 7 1445 1466
15. A. M. Zenkour M. N. M. Allam 2006 On the rotating fiber-reinforced viscoelastic composite solid and annular disks of variable thickness[J] International Journal of Computational Methods in Engineering Science and Mechanics 7 1 21 31
16. M. Farshad 1974 Stresses in rotating disks of materials with different compressive and tensile moduli[J] International Journal of Mechanical Sciences 16 8 559 564
17. N. Tutuncu 1995 Effect of anisotropy on stresses in rotating disks[J] International Journal of Mechanical Sciences 37 8 873 879
18. U. Güven C. Parmaksizoǧlu O. Altay 1999 Elastic-plastic rotating annular disk with rigid casing[J] ZAMM 79 7 499 503
19. A. M. Zenkour 2005 Analytical solutions for rotating exponentially-graded annular disks with various boundary conditions[J] International Journal of Structural Stability and Dynamics 5 4 557 577
20. C. O. Horgan A. M. Chan 1999 The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials[J] Journal of Elasticity 55 1 43 59
21. C. O. Horgan A. M. Chan 1999 The stress response of functionally graded isotropic linearly elastic rotating disks[J] Journal of Elasticity 55 3 219 230
22. J. Q. Tarn 2001 Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads[J] International Journal of Solids and Structures 38 46/47 8189 8206
23. F. Rooney M. Ferrari 2001 Tension, bending, and flexure of functionally graded cylinders[J] International Journal of Solids and Structures 38 3 413 421
24. B. E. Pobedria 1976 Structural anisotropy in viscoelasticity[J] Polym Mech 12 557 561
25. A. M. Zenkour 2004 Buckling of fiber-reinforced viscoelastic composite plates using various plate theories[J] Journal of Engineering Mathematics 50 1 75 93