{"title":"Transient Thermal Stresses of Functionally Graded Thick Hollow Cylinder under the Green-Lindsay Model","authors":"Tariq T. Darabseh","volume":59,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":2354,"pagesEnd":2359,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/7519","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.<\/p>\r\n","references":"[1] Y. Fukui, N. Yamanaka, and K. Wakashima, \"The stresses and strains\r\nin a thick-walled tube for functionally graded material under uniform\r\nthermal loading,\" JSME International Journal Series A ,vol. 36, pp.\r\n156-162, 1993.\r\n[2] Z. H. Jin, and N. Noda, \"Transient thermal stress intensity factors for a\r\ncrack in a semi-infinite plate of a functionally gradient material,\"\r\nInternational Journal of Solids and Structures, vol. 31, pp. 203-218,\r\n1994.\r\n[3] Y. Obata, and N. Noda, \"Steady thermal stresses in a hollow circular\r\ncylinder and a hollow sphere of a functionally gradient material,\"\r\nJournal of Thermal Stresses, vol. 17, pp. 471-487, 1994.\r\n[4] M. P. Lutz, and R. W. Zimmerman, \"Thermal stresses and effective\r\nthermal expansion coefficient of a functionally gradient sphere,\"\r\nJournal of Thermal Stresses, vol. 19, pp. 39-54, 1996.\r\n[5] Y. Ootao, and Y. Tanigawa, \"Three-dimensional transient thermal\r\nstresses of functionally graded rectangular plate due to partial heating,\"\r\nJournal Thermal Stresses, vol. 55, pp. 22-35, 1999.\r\n[6] B. L. Wang , J. C. Han, and S. Y. Du, \"Crack problem for functionally\r\ngraded materials under transient thermal loading,\" Journal of Thermal\r\nStresses, vol. 23, pp. 143-168, 2000.\r\n[7] Z. Q. Cheng, and R. C. Batra, \"Three-dimensional thermoelastic\r\ndeformation of a functionally graded elliptic plate,\" Composites Part B:\r\nEngineering, vol. 31, pp. 97-106, 2000.\r\n[8] J. Q. Tarn, \"Exact solutions for functionally graded anisotropic\r\ncylinders subjected to thermal and mechanical loads,\" International\r\nJournal of Solids and Structures, vol. 38, pp. 8189-8206, 2001.\r\n[9] Y. M. Shabana, and N. Noda, \"Combined microscopic analysis of\r\nthermoelastoplastic stresses of functionally graded material plate,\"\r\nJournal of Thermal Stresses, vol. 24, pp. 799-815, 2001.\r\n[10] T. Fujimoto, and N. Noda, \"Two crack growths in a functionally graded\r\nplate under thermal shock,\" Journal of Thermal Stresses, vol. 24, pp.\r\n847-862, 2001.\r\n[11] T. T. Darabseh, and K. Bani Salameh, \"Numerical solution of transient\r\nthermal stresses in a functionally graded cylinder,\" in 3rd WSEAS\r\nInternational Conference on Engineering Mechanics, Structures,\r\nEngineering Geology, Corfu Island, Greece, 2010, pp.89-96.\r\n[12] A. E. Green, and K. A. Lindsay, \"Thermoelasticity,\" Journal of\r\nElasticity, vol. 2, pp. 1-7, 1972.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 59, 2011"}