Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces

Composites Science and Technology

Volumn 70, Issue 3, 2010, Pages 450-457

  Nie, G J ^a,b   Batra, R C ^b  

^a TONGJI UNIVERSITY   (China)

^b State University   (United States)

Author keywords

A. Functionally graded materials; B. Hollow circular cylinder with elliptic inner surface; C. Analytical solution; D. Stress analysis; E. Material tailoring

Indexed keywords

A. FUNCTIONALLY GRADED MATERIALS; ANALYTICAL SOLUTIONS; D. STRESS ANALYSIS; E. MATERIAL TAILORING; INNER SURFACES;

BOUNDARY CONDITIONS; CIRCULAR CYLINDERS; CRACK INITIATION; DEFORMATION; FOURIER ANALYSIS; FOURIER SERIES; FUNCTIONALLY GRADED MATERIALS; GEOMETRY; HARMONIC ANALYSIS; MATERIALS PROPERTIES; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; STRESS ANALYSIS;

SURFACES;

CYLINDER; DEFORMATION; FOURIER TRANSFORM ANALYSIS; STRESS; SURFACE PROPERTY;

EID: 75149146615     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2009.11.018     Document Type: Article

References (27)

1. Chen C.S., Hsu C.Y., and Tzou G.J. Vibration and stability of functionally graded plates based on a higher-order deformation theory. J Reinf Plast Compos 28 10 (2009) 1215-1234
2. Nejad M Z., and Rahimi G.H. Deformations and stresses in rotating FGM pressurized thick hollow cylinder under thermal load. Sci Res Essay 4 3 (2009) 131-140
3. 2/NiCr functionally graded materials. Mater Sci Eng A 509 (2009) 63-68
4. Alibeigloo A. Static analysis of a functionally graded cylindrical shell with piezoelectric layers as sensor and actuator. Smart Mater Struct 18 (2009) 1-12
5. Nemat Alla M., Ahmed K.I.E., and Hassab Allah I. Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading. Int J Solids Struct 46 (2009) 2774-2786
6. Khabbaz R.S., Manshadi B.D., and Abedian A. Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories. Compos Struct 89 (2009) 333-344
7. Horgan C.O., and Chan A.M. Pressurized hollow cylinder or disk problem for functionally graded isotropic linear elastic materials. J Elast 55 1 (1999) 43-59
8. Oral A., and Anlas G. Effects of radially varying moduli on stress distribution of nonhomogeneous anisotropic cylindrical bodies. Int J Solids Struct 42 20 (2005) 5568-5588
9. Pan E., and Roy A.K. A simple plane-strain solution for functionally graded multilayered isotropic cylinders. Struct Eng Mech 24 6 (2006) 727-740
10. Tutuncu. Stresses in thick-walled FGM cylinders with exponentially-varying properties. Eng Struct 29 (2007) 2032-2035
11. Theotokoglou E.E., and Stampouloglou I.H. The radially nonhomogeneous elastic axisymmentric problem. Int J Solids Struct 45 (2008) 6535-6552
12. Mohammadi M., and Dryden J.R. Influence of the spatial variation of Poisson's ratio upon the elastic field in nonhomogeneous axisymmetric bodies. Int J Solids Struct 46 (2009) 788-795
13. Li Xian F., and Peng Xu L. A pressurized functionally graded hollow cylinder with arbitrarily varying material properties. J Elast 96 (2009) 81-95
14. Zimmerman Robert W., and Lutz Melanie P. Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder. J Therm Stress 22 (1999) 177-188
15. Jabbari M., Sohrabpour S., and Eslami M.R. General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads. J Appl Mech 70 (2003) 111-118
16. Jabbari M., Vaghari A.R., Bahtui A., et al. Exact solution for asymmetric transient thermal and mechanical stresses in FGM hollow cylinders with heat source. Struct Eng Mech 29 5 (2008) 551-565
17. Liew K.M., Kitipornchai S., Zhang X.Z., et al. Analysis of the thermal stress behavior of functionally graded hollow circular cylinders. Int J Solids Struct 40 (2003) 2355-2380
18. Shao Z.S., and Wang T.J. Three-dimensional solutions for the stress fields in functionally graded cylindrical panel with finite length and subjected to thermal/mechanical loads. Int J Solids Struct 43 (2006) 3856-3874
19. Shao Z.S., Ang K.K., Reddy J.N., et al. Nonaxisymmetric thermomechanical analysis of functionally graded hollow cylinders. J Therm Stress 31 6 (2008) 515-536
20. Hosseini S.M., Akhlaghi M., and Shakeri M. Heat conduction and heat wave propagation in functionally graded thick hollow cylinder base on coupled thermoelasticity without energy dissipation. Heat Mass Trans 44 12 (2008) 1477-1484
21. Ootao Y., Kawamura R., Tanigawa Y., and Imamura R. Optimization of material composition of nonhomogeneous hollow circular cylinder for thermal stress relaxation making use of neural network. J Therm Stress 22 1 (1999) 1-22
22. Ootao Y., Tanigawa Y., and Nakamura T. Optimization of material composition of FGM hollow circular cylinder under thermal loading: a neural network approach. Composites Part B 30 (1999) 415-422
23. Afsar A.M., and Sekine H. Optimum material distributions for prescribed apparent fracture toughness in thick-walled FGM circular pipes. Int J Pressure Vessels Piping 78 7 (2001) 471-484
24. Goupee A.J., and Vel S.S. Multi-objective optimization of functionally graded materials with temperature-dependent material properties. Mater Des 28 6 (2007) 1861-1879
25. Soldatos K.P. Mechanics of cylindrical shells with non-circular cross-section: a survey. Appl Mech Rev 52 (1999) 237-274
26. Patel B.P., Gupta S.S., Loknath M.S., and Kadu C.P. Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory. Compos Struct 69 (2005) 259-270
27. Nagaya K., and Hai Y. Free vibration of composite membranes with arbitrary shape. J Sound Vib 100 1 (1985) 123-134