Thermo-mechanical analysis of functionally graded shells

Journal of Thermal Stresses

Volumn 33, Issue 10, 2010, Pages 942-963

  Cinefra, M ^a,b   Carrera, E ^b   Brischetto, S ^b   Belouettar, S ^a  

^a LUXEMBOURG INSTITUTE OF SCIENCE AND TECHNOLOGY   (Luxembourg)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Carrera unified formulation; Functionally graded materials; Heat conduction; Refined theories; Shell theories; Thermal stress

Indexed keywords

CARRERA UNIFIED FORMULATION; CARRERA'S UNIFIED FORMULATION; EQUIVALENT SINGLE LAYERS; FOURIER; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED SHELL; HEAT CONDUCTION EQUATIONS; HIGH ORDER; HIGHER-ORDER SHELL THEORY; LAYER-WISE; LAYERED SHELL; MATERIAL VARIATION; NUMERICAL RESULTS; PRINCIPLE OF VIRTUAL DISPLACEMENTS; QUASI-3D; REFINED THEORY; SHELL THEORY; SHELL THICKNESS; SIMPLY SUPPORTED; STRESS DISTRIBUTION; TEMPERATURE FIELD; THERMO-MECHANICAL ANALYSIS; THICKNESS DIRECTION;

HEAT CONDUCTION; PLATES (STRUCTURAL COMPONENTS); REFINING; SHELLS (STRUCTURES); STRESS CONCENTRATION; THERMAL STRESS; THERMOELASTICITY;

FUNCTIONALLY GRADED MATERIALS;

EID: 77957913695     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495739.2010.482379     Document Type: Article

References (39)

1. M. Koizumi, The Concept of FGM, Ceram. Trans. Funct. Graded Mater., vol. 34, pp. 3-10, 1993.
2. S. Suresh and A. Mortensen, Fundamentals of Functionally Graded Materials, Barnes and Noble Publications, New York, 1998.
3. x Composite Produced by Combustion Synthesis, Journal of Alloys and Compounds, vol. 430, pp. 274-281, 2007.
4. H. Chung and S. Das, Processing and Properties of Glass Bead Particulate-Filled Functionally Graded Nylon-11 Composites Produced by Selective Laser Sintering, Materials Science and Engineering A, vol. 437, pp. 226-234, 2006. (Pubitemid 44524855)
5. K. A. Khor, Y. W. Gu, and Z. L. Dong, Mechanical Behavior of Plasma Sprayed Functionally Graded YSZ/NiCoCrAlY Composite Coatings, Surface and Coatings Technology, vol. 139, pp. 200-206, 2001.
6. J. I. Kim, W.-J. Kim, D. J. Choi, J. Y. Park, and W.-S. Ryu, Design of a C/SiC Functionally Graded Coating for the Oxidation Protection of C/C Composites, Carbon A, vol. 43, pp. 1749-1757, 2005. (Pubitemid 40748505)
7. J. Aboudi, Mechanics of Composite Materials: A Unified Micromechanical Approach, Elsevier, New York, 1991.
8. J. Aboudi, M.-J. Pindera, and S. M. Arnold, Higher-Order Theory for Functionally Graded Materials, Composites Part B: Engineering, vol. 30, pp. 777-832, 1999. (Pubitemid 30518834)
9. T. Reiter, G. J. Dvorak, and V. Tvergaard, Micromechanical Models for Graded Composite Materials, Journal of the Mechanics and Physics of Solids, vol. 45, pp. 1281-1302, 1997. (Pubitemid 127382605)
10. J. R. Zuiker, Functionally Graded Materials: Choice of Micromechanics Model and Limitation in Property Variation, Composites Engineering, vol. 5, pp. 807-819, 1995.
11. J. L. Pelletier and S. S. Vel, An Exact Solution for the Steady-State Thermoelastic Response of Functionally Graded Orthotropic Cylindrical Shells, International Journal of Solids and Structures, vol. 43, pp. 1131-1158, 2006.
12. Z. S. Shao, Mechanical and Thermal Stresses of a Functionally Graded Circular Hollow Cylinder with Finite Length, International Journal of Pressure Vessels and Piping, vol. 82, pp. 155-163, 2005.
13. K. M. Liew, S. Kitipornchai, X. Z. Zhang, and C. W. Lim, Analysis of the Thermal Stress Behaviour of Functionally Graded Hollow Circular Cylinders, International Journal of Solids and Structures, vol. 40, pp. 2355-2380, 2003. (Pubitemid 36557948)
14. S. S. Vel and R. Baskiyar, Thermally Induced Stresses in Functionally Graded Thick Tubes, AIP Conference Proceedings, vol. 973, pp. 688-693, 2008.
15. K. Abrinia, H. Naee, F. Sadeghi, and F. Djavanroodi, New Analysis for the FGM Thick Cylinders under Combined Pressure and Temperature Loading, American Journal of Applied Sciences, vol. 5, no. 7, pp. 852-859, 2008.
16. Z. S. Shao and T. J. Wang, Three-Dimensional Solutions for the Stress Fields in Functionally Graded Cylindrical Panel with Finite Length and Subjected to Thermal/Mechanical Loads, International Journal of Solids and Structures, vol. 43, pp. 3856-3874, 2006.
17. C. Chinosi and L. Della Croce, Mixed-Interpolated Finite Elements for Functionally Graded Cylindrical Shells, Composite Structures, 2009, accepted.
18. R. Naghdabadi and S. A. Hosseini Kordkheili, A Finite Element Formulation for Analysis of Functionally Graded Plates and Shells, Archive of Applied Mechanics, vol. 74, pp. 375-386, 2005. (Pubitemid 40400737)
19. S. A. Hosseini Kordkheili and R. Naghdabadi, Geometrically Non-Linear Thermoelastic Analysis of Functionally Graded Shells using Finite Element Method, International Journal for Numerical Methods in Engineering, vol. 72, pp. 964-986, 2007. (Pubitemid 350041900)
20. A. Bahtui and M. R. Eslami, Coupled Thermoelasticity of Functionally Graded Cylindrical Shells, Mechanics Research Communications, vol. 34, pp. 1-18, 2007. (Pubitemid 44294818)
21. Z. S. Shao and G. W. Ma, Thermo-Mechanical Stresses in Functionally Graded Circular Hollow Cylinder with Linearly Increasing Boundary Temperature, Composite Structures, vol. 83, pp. 259-265, 2008.
22. E. Carrera, A Class of Two Dimensional Theories for Multilayered Plates Analysis, Atti Accademia delle Scienze di Torino, Mem Sci. Fis., vols. 19-20, pp. 49-87, 1995.
23. E. Carrera, S. Brischetto, and A. Robaldo, Comparison of Various Kinematics for the Analysis of Functionally Graded Materials Plates, Presented on ACME 2007, Glasgow (U. K.), 2-3 April 2007.
24. E. Carrera, S. Brischetto, and A. Robaldo, A Variable Kinematic Model for the Analysis of Functionally Graded Materials Plates, AIAA Journal, vol. 46, pp. 194-203, 2008. (Pubitemid 351158413)
25. S. Brischetto and E. Carrera, Mixed Theories for the Analysis of Functionally Graded Materials Plates, presented on AIMETA 2007, Brescia (Italy), 14-17 September 2007.
26. S. Brischetto, R. Leetsch, E. Carrera, T. Wallmersrerger, and B. Kröplin, Thermo-Mechanical Bending of Functionally Graded Plates, Journal of Thermal Stresses, vol. 31, no. 3, pp. 286-308, 2008. (Pubitemid 351302195)
27. http://www.polito.it/MUL2.
28. E. Carrera and L. Demasi, Classical and Advanced Multilayered Plate Elements Based upon PVD and RMVT. Part I. Derivation of Finite Element Matrix, International Journal for Numerical Methods in Engineering, vol. 55, pp. 191-231, 2002. (Pubitemid 34955892)
29. E. Carrera and L. Demasi, Classical and Advanced Multilayered Plate Elements Based upon PVD and RMVT. Part II. Numerical Implementations, International Journal for Numerical Methods in Engineering, vol. 55, pp. 253-291, 2002. (Pubitemid 34955892)
30. E. Carrera and A. Ciuffreda, Closed Form Solution to Assess Multilayered Plates Theories for Various Thermal Stress Problem, Journal of Thermal Stresses, vol. 27, pp. 1001-1031, 2004.
31. N. N. Rogacheva, The Theory of Piezoelectric Shells and Plates, CRC Press, Boca Raton, Florida, 1994.
32. J. N. Reddy and Z. N. Chen, Three-Dimensional Thermomechanical Deformations of Functionally Graded Rectangular Plates, European Journal of Mechanics A/Solids, vol. 20, no. 5, pp. 841-855, 2001. (Pubitemid 32962178)
33. T. Mori and K. Tanaka, Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions, Acta Metallurgica, vol. 21, pp. 571-574, 1973.
34. Y. Benveniste, A New Approach to the Application of Mori-Tanaka's Theory in Composite Materials, Mechanics of Materials, vol. 6, pp. 147-157, 1987. (Pubitemid 18530321)
35. H. Hatta and M. Taya, Effective Thermal Conductivity of a Misoriented Short Fiber Composite, Journal of Applied Physics, vol. 58, pp. 2478-2486, 1985.
36. V. M. Levin, Thermal Expansion Coefficients of Heterogeneous Materials, Mekh. Tverd. Tela, vol. 2, pp. 88-94, 1967.
37. R. A. Shapery, Thermal Expansion Coefficients of Composite Materials Based on Energy Principles, Journal of Composite Materials, vol. 2, pp. 380-404, 1968.
38. S. Brischetto and E. Carrera, Thermal Stress Analysis by Refined Multilayered Composite Shell Theories, Journal of Thermal Stresses, vol. 32, nos. 1-2, pp. 165-186, 2009.
39. K. Bhaskar, T. K. Varadan, and J. S. M. Ali, Thermoelastic Solution for Orthotropic and Anisotropic Composites Laminates, Composites Part B, vol. 27, pp. 415-420, 1996. (Pubitemid 126337826)