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Abstract
Here, the dynamic snap-through buckling characteristics of clamped functionally graded spherical caps suddenly exposed to a thermal field are studied using finite element procedure. The material properties are graded in the thickness direction. The temperature load corresponding to a sudden jump in the maximum average displacement in the time history of the shell structure is taken as the dynamic buckling temperature. Numerical study is carried out to highlight the influences of shell geometries and material gradient index on the critical buckling temperature.
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References
- Koizumi, M., "FGM Activities in Japan", Composites
- Part B: Engineering, 28, 1997, pp. 1-4.
- Budiansky, B. and Roth R. S., "Axisymmetric Dynamic
- Buckling of Clamped Shallow Spherical
- Shells", NASA TND-510, 1962, pp. 597-609.
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- Through Buckling of Shallow Spherical Caps",
- AIAA Journal, 5, 1967, pp.1019-1021.
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- Through of Elastic Clamped Shallow Shell", AIAA
- Journal, 7, 1969, pp. 215-220.
- Chao, C. C. and Lin, I. S., "Static and Dynamic
- Snap-Through of OrthotropicSpherical Caps", Composite
- Structures, 14, 1990, pp. 281-301.
- Ganapathi, M., Gupta, S. S. and Patel, B. P., "Nonlinear
- Asymmetric Dynamic Buckling of Isotropic/
- Laminated Orthotropic Spherical Caps."
- AIAA Journal, 41, 2003, pp. 1363-1369.
- Makino, A., Araki, N., Kitajima, H. and Ohashi,
- K.,"Transient Temperature Response of Functionally
- Gradient Material Subjected to Partial, Stepwise
- Heating", Transactions JSME, Part B, 60, 1994, pp.
- -4206.
- Obata, Y. and Noda, N.,"Steady Thermal Stresses in
- a Hollow Circular Cylinder and Hollow Sphere of a
- Functionally Gradient Material", Journal of Thermal
- Stresses, 17, 1994, pp. 471-487.
- Takezono, S., Tao, K., Inamura, E. and Inoue, M.,
- "Thermal Stress and Deformation in Functionally
- Graded Material Shells of Revolution Under Thermal
- Loading Due to Fluid", JSME International Series
- A: Mechanics and Material Engineering, 39,
- , pp. 573-581.
- Ng, T. Y., Lam, K. Y., Liew, K. M. and Reddy,
- J.N.,"Dynamic Stability Analysis of functionally
- Graded Cylindrical Shells Under Periodic Axial
- Loading", Int. J. of Solids and Structures, 38, 2001,
- pp. 1295-1309.
- Mori. T. and Tanaka. K., "Average Stress in Matrix
- and Average Elasticenergy of Materials with Misfitting
- Inclusions", Acta Metall., 21, 1973, pp. 571-
- Benveniste, Y., "A New Approach to the Application
- of Mori-Tanaka’s Theory in Composite Materials",
- Mechanics of Materials, 6, 1987, pp. 147-157.
- Kraus H., "Thin Elastic Shells", John Wiley, New
- York, 1967.
- Rajasekaran, S. and Murray, D. W., "Incremental
- Finite Element Matrices", ASCE Journal of Structures
- Division, 99, 197, pp. 2423-2438.
- Ganesan N. and Ravikiran Kadoli, "A Theoretical
- Analysis of Linear Thermoelastic Buckling of Composite
- Hemispherical Shells with a Cut-out at the
- Apex", Composite Structures, 68, 2005, pp. 87-
- Lanhe, Wu., "Thermal Buckling of a Simply Supported
- Moderately Thick Rectangular FGM Plate",
- Composite Structures, 64, 2004, pp. 211-218.
References
Koizumi, M., "FGM Activities in Japan", Composites
Part B: Engineering, 28, 1997, pp. 1-4.
Budiansky, B. and Roth R. S., "Axisymmetric Dynamic
Buckling of Clamped Shallow Spherical
Shells", NASA TND-510, 1962, pp. 597-609.
Simitses, G. J., "Axisymmetric Dynamic Snap-
Through Buckling of Shallow Spherical Caps",
AIAA Journal, 5, 1967, pp.1019-1021.
Haung, N. C., "Axisymmetric Dynamic Snap-
Through of Elastic Clamped Shallow Shell", AIAA
Journal, 7, 1969, pp. 215-220.
Chao, C. C. and Lin, I. S., "Static and Dynamic
Snap-Through of OrthotropicSpherical Caps", Composite
Structures, 14, 1990, pp. 281-301.
Ganapathi, M., Gupta, S. S. and Patel, B. P., "Nonlinear
Asymmetric Dynamic Buckling of Isotropic/
Laminated Orthotropic Spherical Caps."
AIAA Journal, 41, 2003, pp. 1363-1369.
Makino, A., Araki, N., Kitajima, H. and Ohashi,
K.,"Transient Temperature Response of Functionally
Gradient Material Subjected to Partial, Stepwise
Heating", Transactions JSME, Part B, 60, 1994, pp.
-4206.
Obata, Y. and Noda, N.,"Steady Thermal Stresses in
a Hollow Circular Cylinder and Hollow Sphere of a
Functionally Gradient Material", Journal of Thermal
Stresses, 17, 1994, pp. 471-487.
Takezono, S., Tao, K., Inamura, E. and Inoue, M.,
"Thermal Stress and Deformation in Functionally
Graded Material Shells of Revolution Under Thermal
Loading Due to Fluid", JSME International Series
A: Mechanics and Material Engineering, 39,
, pp. 573-581.
Ng, T. Y., Lam, K. Y., Liew, K. M. and Reddy,
J.N.,"Dynamic Stability Analysis of functionally
Graded Cylindrical Shells Under Periodic Axial
Loading", Int. J. of Solids and Structures, 38, 2001,
pp. 1295-1309.
Mori. T. and Tanaka. K., "Average Stress in Matrix
and Average Elasticenergy of Materials with Misfitting
Inclusions", Acta Metall., 21, 1973, pp. 571-
Benveniste, Y., "A New Approach to the Application
of Mori-Tanaka’s Theory in Composite Materials",
Mechanics of Materials, 6, 1987, pp. 147-157.
Kraus H., "Thin Elastic Shells", John Wiley, New
York, 1967.
Rajasekaran, S. and Murray, D. W., "Incremental
Finite Element Matrices", ASCE Journal of Structures
Division, 99, 197, pp. 2423-2438.
Ganesan N. and Ravikiran Kadoli, "A Theoretical
Analysis of Linear Thermoelastic Buckling of Composite
Hemispherical Shells with a Cut-out at the
Apex", Composite Structures, 68, 2005, pp. 87-
Lanhe, Wu., "Thermal Buckling of a Simply Supported
Moderately Thick Rectangular FGM Plate",
Composite Structures, 64, 2004, pp. 211-218.