Transient Thermal Stresses of Functionally Graded Thick Hollow Cylinder under the Green-Lindsay Model
The transient thermoelastic response of thick hollow cylinder made of functionally graded material under thermal loading is studied. The generalized coupled thermoelasticity based on the Green-Lindsay model is used. The thermal and mechanical properties of the functionally graded material are assumed to be varied in the radial direction according to a power law variation as a function of the volume fractions of the constituents. The thermal and elastic governing equations are solved by using Galerkin finite element method. All the finite element calculations were done by using commercial finite element program FlexPDE. The transient temperature, radial displacement, and thermal stresses distribution through the radial direction of the cylinder are plotted.
[1] Y. Fukui, N. Yamanaka, and K. Wakashima, "The stresses and strains
in a thick-walled tube for functionally graded material under uniform
thermal loading," JSME International Journal Series A ,vol. 36, pp.
156-162, 1993.
[2] Z. H. Jin, and N. Noda, "Transient thermal stress intensity factors for a
crack in a semi-infinite plate of a functionally gradient material,"
International Journal of Solids and Structures, vol. 31, pp. 203-218,
1994.
[3] Y. Obata, and N. Noda, "Steady thermal stresses in a hollow circular
cylinder and a hollow sphere of a functionally gradient material,"
Journal of Thermal Stresses, vol. 17, pp. 471-487, 1994.
[4] M. P. Lutz, and R. W. Zimmerman, "Thermal stresses and effective
thermal expansion coefficient of a functionally gradient sphere,"
Journal of Thermal Stresses, vol. 19, pp. 39-54, 1996.
[5] Y. Ootao, and Y. Tanigawa, "Three-dimensional transient thermal
stresses of functionally graded rectangular plate due to partial heating,"
Journal Thermal Stresses, vol. 55, pp. 22-35, 1999.
[6] B. L. Wang , J. C. Han, and S. Y. Du, "Crack problem for functionally
graded materials under transient thermal loading," Journal of Thermal
Stresses, vol. 23, pp. 143-168, 2000.
[7] Z. Q. Cheng, and R. C. Batra, "Three-dimensional thermoelastic
deformation of a functionally graded elliptic plate," Composites Part B:
Engineering, vol. 31, pp. 97-106, 2000.
[8] J. Q. Tarn, "Exact solutions for functionally graded anisotropic
cylinders subjected to thermal and mechanical loads," International
Journal of Solids and Structures, vol. 38, pp. 8189-8206, 2001.
[9] Y. M. Shabana, and N. Noda, "Combined microscopic analysis of
thermoelastoplastic stresses of functionally graded material plate,"
Journal of Thermal Stresses, vol. 24, pp. 799-815, 2001.
[10] T. Fujimoto, and N. Noda, "Two crack growths in a functionally graded
plate under thermal shock," Journal of Thermal Stresses, vol. 24, pp.
847-862, 2001.
[11] T. T. Darabseh, and K. Bani Salameh, "Numerical solution of transient
thermal stresses in a functionally graded cylinder," in 3rd WSEAS
International Conference on Engineering Mechanics, Structures,
Engineering Geology, Corfu Island, Greece, 2010, pp.89-96.
[12] A. E. Green, and K. A. Lindsay, "Thermoelasticity," Journal of
Elasticity, vol. 2, pp. 1-7, 1972.
[1] Y. Fukui, N. Yamanaka, and K. Wakashima, "The stresses and strains
in a thick-walled tube for functionally graded material under uniform
thermal loading," JSME International Journal Series A ,vol. 36, pp.
156-162, 1993.
[2] Z. H. Jin, and N. Noda, "Transient thermal stress intensity factors for a
crack in a semi-infinite plate of a functionally gradient material,"
International Journal of Solids and Structures, vol. 31, pp. 203-218,
1994.
[3] Y. Obata, and N. Noda, "Steady thermal stresses in a hollow circular
cylinder and a hollow sphere of a functionally gradient material,"
Journal of Thermal Stresses, vol. 17, pp. 471-487, 1994.
[4] M. P. Lutz, and R. W. Zimmerman, "Thermal stresses and effective
thermal expansion coefficient of a functionally gradient sphere,"
Journal of Thermal Stresses, vol. 19, pp. 39-54, 1996.
[5] Y. Ootao, and Y. Tanigawa, "Three-dimensional transient thermal
stresses of functionally graded rectangular plate due to partial heating,"
Journal Thermal Stresses, vol. 55, pp. 22-35, 1999.
[6] B. L. Wang , J. C. Han, and S. Y. Du, "Crack problem for functionally
graded materials under transient thermal loading," Journal of Thermal
Stresses, vol. 23, pp. 143-168, 2000.
[7] Z. Q. Cheng, and R. C. Batra, "Three-dimensional thermoelastic
deformation of a functionally graded elliptic plate," Composites Part B:
Engineering, vol. 31, pp. 97-106, 2000.
[8] J. Q. Tarn, "Exact solutions for functionally graded anisotropic
cylinders subjected to thermal and mechanical loads," International
Journal of Solids and Structures, vol. 38, pp. 8189-8206, 2001.
[9] Y. M. Shabana, and N. Noda, "Combined microscopic analysis of
thermoelastoplastic stresses of functionally graded material plate,"
Journal of Thermal Stresses, vol. 24, pp. 799-815, 2001.
[10] T. Fujimoto, and N. Noda, "Two crack growths in a functionally graded
plate under thermal shock," Journal of Thermal Stresses, vol. 24, pp.
847-862, 2001.
[11] T. T. Darabseh, and K. Bani Salameh, "Numerical solution of transient
thermal stresses in a functionally graded cylinder," in 3rd WSEAS
International Conference on Engineering Mechanics, Structures,
Engineering Geology, Corfu Island, Greece, 2010, pp.89-96.
[12] A. E. Green, and K. A. Lindsay, "Thermoelasticity," Journal of
Elasticity, vol. 2, pp. 1-7, 1972.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:56602", author = "Tariq T. Darabseh", title = "Transient Thermal Stresses of Functionally Graded Thick Hollow Cylinder under the Green-Lindsay Model", abstract = "The transient thermoelastic response of thick hollow cylinder made of functionally graded material under thermal loading is studied. The generalized coupled thermoelasticity based on the Green-Lindsay model is used. The thermal and mechanical properties of the functionally graded material are assumed to be varied in the radial direction according to a power law variation as a function of the volume fractions of the constituents. The thermal and elastic governing equations are solved by using Galerkin finite element method. All the finite element calculations were done by using commercial finite element program FlexPDE. The transient temperature, radial displacement, and thermal stresses distribution through the radial direction of the cylinder are plotted.
", keywords = "Finite element method, thermal stresses, Green-Lindsay theory, functionally graded material.", volume = "5", number = "11", pages = "2347-5", }
