Viscoelastic deformation of the rotating inhomogeneous variable thickness solid and annular disks

International Journal for Computational Methods in Engineering Science and Mechanics

Volumn 8, Issue 5, 2007, Pages 313-322

  Allam, M N M ^a   Zenkour, A M ^b   El Azab, T M A ^a  

^a Mansoura University   (Egypt)

^b TANTA UNIVERSITY   (Egypt)

Author keywords

Inhomogeneous; Rotating; Solid and annular disks; Variable thickness; Viscoelastic

Indexed keywords

ELASTIC MODULI; STRESS ANALYSIS; THICKNESS MEASUREMENT; VISCOELASTICITY;

ANNULAR DISKS; ORTHOTROPIC MATERIALS; RADIAL DISPLACEMENT; VARIABLE THICKNESS;

DISKS (STRUCTURAL COMPONENTS);

EID: 34547527970     PISSN: 15502287     EISSN: 15502295     Source Type: Journal    
DOI: 10.1080/15502280701471657     Document Type: Article

References (28)

1. U. Güven, Elastic-plastic Stresses in a Rotating Annular Disk of Variable Thickness and Variable Density, International Journal of Mechanical Sciences, vol. 34, pp. 133-138, 1992.
2. U. Güven, On the Stress in the Elastic-Plastic Annular Disk of Variable Thickness under External Pressure, International Journal of Solid and Structures, vol. 30, pp. 651-658, 1993.
3. U. Güven, On the Applicability of Tresca's Yield Condition to the Linear Hardening Rotating Solid Disk of Variable Thickness, ZAMM, vol. 75, pp. 397-398, 1995.
4. U. Güven, Stress Distribution in a Linear Hardening Annular Disk of Variable Thickness Subjected to External Pressure, International Journal of Mechanical Sciences, vol. 40, pp. 589-601, 1998.
5. L.H. You, Y.Y. Tang, J. J. Zhang, C.Y. Zheng, Numerical Analysis of Elasticplastic Rotating Disks with Arbitrary Variable Thickness and Density, Int. J. Solids Structures, vol. 37, pp. 7809-7820, 2000.
6. A.N. Eraslan, Inelastic Deformation of Rotating Variable Thickness Solid Disks by Tresca and Von. Mises Criteria, International Journal of Computational Engineering Science, vol. 3, pp. 89-101, 2000.
7. A.N. Eraslan, Yusuf Orean, On the Rotating Elastic-Plastic Solid Disks of Variable Thickness having Concave Profiles, International Journal of Mechanical Science, vol. 44, pp. 1445-1466, 2002.
8. A.N. Eraslan, F. Akgül, Yielding and Elastoplastic Deformation of Annular Disks of a Parabolic Section Subjected to External Compression, Turkish J. Eng. Eng. Sci., vol. 29, pp. 51-60, 2005.
9. A.M. Zenkour, M.N.M. Allam, On the Rotating Fiber-Reinforced Viscoelastic Composite Solid and Annular Disks of Variable Thickness, Int. J. Comp. Meth. Eng. Sci. Mech., vol. 7(1), pp. 21-31, 2006.
10. J.H. Shirazi, Thermoplastic Analysis of Rotating Discs at Elevated Temperatures, Int. J. Pressure Vessels Piping, vol. 71(3), pp. 285-291, 2001.
11. H. Jahed, S. Sherkatti, Thermoplastic Analysis of Inhomogeneous Rotating Disk with Variable Thickness, Proceedings of the EMAS Conference of Fatigue, Cambridge, England, April 2000.
12. K.-Y. Yeh, R.P.S. Han, Analysis of High-speed Rotating Disks with Variable Thickness and Inhomogeneity, J. Applied Mechanics, vol. 61, pp. 186-191, 1994.
13. A. May, P.A. Eirby, A.P. Bassom, Diffusion Driven Instability in an Inhomogeneous Circular Domain, Mathematical Computer Modeling, vol. 29, 53-66, 1999.
14. Behrooz Farshi, Hamid Jahed, Abdolhossein Mehrabian, Optimum Design of Inhomogeneous Non-Uniform Rotating Discs, J. Composite Structures, vol. 82, pp. 773-779, 2004.
15. B.F. Shaffer, Orthotopic Annular Disks in Plane Stress, ASME J. Applied Mechanics, vol. 34, pp. 1027-1029, 1976.
16. CO. Horgan, A.M. Chan, The Pressurized Hollow Cylinder or DiskProblem for Functionally Graded Isotropic Linearly Elastic Materials, J. Elasticity, vol. 55, pp. 43-59, 1999.
17. G.O. Horgan, A.M. Chan, The Stress Response of Functionally Graded Isotropic Linearly Elastic Rotating Disks, J. Elasticity, vol. 55, pp. 219-230, 1999.
18. J.Q. Tarn, Exact Solutions for Functionally Graded Isotropic Cylinders Subjected to Thermal and Mechanical Loads, Int. J. Solids Struct., vol. 38, pp. 8189-8206, 2001.
19. K.V. Sarma, Torsional Wave Motion of a Finite Inhomogeneous Piezoelectric Cylindrical Shell, Int. J. Eng. Sci., vol. 18, pp. 449-454, 1989.
20. S.P. Timoshenko, J.N. Goodier, Theory of Elasticity, 3rd edition, McGraw-Hill, New York, 1970.
21. S.C. Ugural, S.K. Fenster, Advanced Strength and Applied Elasticity, Elsevier, New York, 1987.
22. U. Gamer, Tresca's Yield Condition and the Rotating Solid Disk, Journal of Applied Mechanics, vol. 50, pp. 676-678, 1983.
23. U. Gamer, Elastic-Plastic Deformation of the Rotating Solid Disk, Ingenieur-Archive, vol. 54, pp. 345-354, 1984.
24. U. Gamer, Elastic-Plastic Stress Distribution in the Rotating Annulus and in the Annulus under External Pressure, ZAMM, vol. 64, pp. T126-T128, 1984.
25. G. Ma, H. Hao, Y Miyamoto, Limit Angular Velocity of Rotating Disk with Unified Yield Criterion, Int. J. Mech. Sci., vol. 43, pp. 1137-1153, 2001.
26. B.E. Pobedrya, Structural Anisotropy in Viscoelasticity, Polymer Mechanics, vol. 12, pp. 557-561, 1976.
27. M.N.M. Allam, B.E. Pobedria, On the Solution of Quasi-stati cal Problems of Anisotropic Viscoelasticity, Isvestia Akademia Nauk AR-SSR, Mekhanica, vol. 31, pp. 19-27, 1978 (in Russian).
28. A.A. Illyushin, B.E. Pobedria, Foundations of Mathematical Theory of Thermo-visco-Elasticity, Moscow, Nauka, 1970 (in Russian).