 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
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| In English (Mech. Solids): | | 4760 |
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| H.A. Atmane, E.A.A. Bedia, M. Bouazza, A. Tounsi, and A. Fekrar, "On the Thermal Buckling of Simply Supported Rectangular Plates Made of a Sigmoid Functionally Graded Al/Al2O3 Based Material," Mech. Solids. 51 (2), 177-187 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
177-187 |
| DOI |
10.3103/S0025654416020059 |
| Title |
On the Thermal Buckling of Simply Supported Rectangular Plates Made of a Sigmoid Functionally Graded Al/Al2O3 Based Material |
| Author(s) |
H.A. Atmane (Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbès BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbés Algérie; Département de génie civil, Faculté des Sciences de l'Ingénieur, Univesité Hassiba Benbouali de Chlef, Algérie)
E.A.A. Bedia (Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbès BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbés Algérie)
M. Bouazza (Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbès BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbés Algérie; Universitaire de Bechar, Département de Génie civil, 08000 Bechar, Algéria)
A. Tounsi (Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbès BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbés Algérie, tou_abdel@yahoo.com)
A. Fekrar (Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbès BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbés Algérie) |
| Abstract |
We study the thermal buckling of a simply supported sigmoid functionally graded (S-FGM) rectangular plate using first-order shear deformation theory. The S-FGM system consists of ceramic (Al2O3) and metal (Al) phases varying across the plate thickness according to a law described by two power-law functions. The effective properties of the composite are determined by the rule of mixtures, whose implementation is simpler than that of methods of micromechanics. The thermal heating is characterized by a uniform, linear, or sinusoidal temperature distribution across the plate thickness. The effects of the plate aspect ratio, the relative thickness, the gradient index, and the transverse shear on the buckling temperature difference are studied. |
| Keywords |
S-FGM plate, Al/Al2O3, buckling, aspect ratio, temperature, material gradient index |
| References |
| 1. | S. Suresh and A. Mortensen,
Fundamentals of Functionally Graded Materials
(Barnes and Noble Publ., New York, 1998). |
| 2. | M. Yamanouchi and M. Koizumi,
"Functionally Gradient Materials,"
in Proc. First Int. Symp. on Functionally Graded Materials. 1991. Sendai, Japan (Sendai, 1991). |
| 3. | R. Javaheri and M. R. Eslami,
"Thermal Buckling of Functionally Graded Plates,"
AIAA J.
40, 162-169 (2002). |
| 4. | M. M. Najafizadeh and M. R. Eslami,
"First-Order-Theory-Based Thermoelastic Stability of Functionally Graded Circular Plateas,"
AIAA J.
40, 1444-1450 (2002). |
| 5. | Wu. Lanhe,
"Thermal Buckling of a Simply Supported Moderately Thick Rectangular FGM Plate,"
Compos. Struct.
64, 211-218 (2004). |
| 6. | T. Mori and K. Tanaka,
"Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions,"
Acta Metall.
21, 571-574 (1973). |
| 7. | R. Hill,
"A Self-Consistent Mechanics of Composite Materials,"
J. Mech. Phys. Solids
13 (2), 213-222 (1965). |
| 8. | M. C. Amirani, S. M. R. Khalili, and N. Nemati,
"Free Vibration Analysis of Sandwich Beam with FG Core Using the Element Free Galerkin Method,"
Comp. Struct.
90, 373-379 (2009). |
| 9. | Z. H. Jin and G. H. Paulino,
"Transient Thermal Stress Analysis of an Edge Crack in a Functionally Graded Material,"
Int. J. Fract.
107, 73-98 (2001). |
| 10. | Y. Y. Yung and D. Munz,
"Stress Analysis in a Two Materials Joint with a Functionally Graded Material,"
in Functionally Graded Material, Ed. by T. Shiota and M. Y. Miyamoto
(1996),
pp. 41-46. |
| 11. | D.-G. Zhang and Y.-H. Zhou,
"A Theoretical Analysis of FGM Thin Plates Based on Physical Neutral Surface,"
Comp. Mater. Sci.
44 (2), 716-720 (2008). |
| 12. | S. Joshi, A. Mukherjee, and S. Schmauder,
"Exact Solutions for Characterization of Electro-Elastically Graded Materials,"
Comp. Mater. Sci.
28 (3), 548-555 (2003). |
| 13. | Z. H. Jin and R. C. Batra,
"Stress Intensity Relaxation at the Tip of an Edge Crack in a Functionally Graded Material Subjected to a Thermal Shock,"
J. Therm. Stresses
19 (4), 317-339 (1996). |
| 14. | F. Delale and F. Erdogan,
"The Crack Problem for a Non-Homogeneous Plane,"
ASME J. Appl. Mech.
50 (3), 609-614 (1983). |
| 15. | P. Gu and R. J. Asaro,
"Crack Deflection in Functionally Graded Materials,"
Int. J. Solids Struct.
34 (24), 3085-3098 (1997). |
| 16. | F. Erdogan and B. H. Wu,
"Crack Problems in FGM Layers under Thermal Stresses,"
J. Therm. Stresses
19, 237-265 (1996). |
| 17. | Z. H. Jin and N. Noda,
"Crack-Tip Singular Fields in Nonhomogeneous Materials,"
ASME J. Appl. Mech.
61, 738-740 (1994). |
| 18. | F. Erdogan and Y. F. Chen,
"Interfacial Cracking of FGM/Metal Bonds,"
in Ceramic Coating, Ed. by K. Kokini
(1998),
pp. 29-37. |
| 19. | Y. L. Chung and S. H. Chi,
"The Residual Stress of Functionally Graded Materials,"
J. Chinese Inst. Civil Hydr. Engng
13, 1-9 (2001). |
| 20. | B. O. Sallai, A. Tounsi, I. Mechab, et al.,
"A Theoretical Analysis of Flexional Bending of Al/Al2O3 S-FGM Thick Beams,"
Comp. Mater. Sci.
44 (4), 1344-1350 (2009). |
| 21. | S. H. Chi and Y. L. Chung,
"Cracking in Sigmoid Functionally Graded Coating,"
J. Mech.
18, 41-53 (2002). |
| 22. | Y. D. Lee and F. Erdogan,
"Residual/Thermal Stresses in FGM Andlaminated Thermal Barrier Coatings,"
Int. J. Fract.
69, 145 -165 (1995). |
| 23. | G. Bao and L. Wang,
"Multiple Cracking in Functionally Gradedceramic/Metal Coatings,"
Int. J. Solids Struct.
32, 2853-2871 (1995). |
|
| Received |
20 November 2009 |
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