Chinese Journal of Mechanical Engineering

Analysis on Stress and Strain Behavior of Spherical Vessel of Functionally Graded Material under Creep Condition

CHEN Jianjun TU Shandong XUAN Fuzhen WANG Zhengdong

(School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237)

Abstract: The creep behavior of a spherical vessel composed with the functionally graded material is derived under the internal and external pressure. The effects of elastic and creep graded distributions on the time-dependent stress/strain are systematically analyzed. The numerical results show that the elastic distribution only affects the stress development at the initial creep stage. When the stress reaches the steady state its magnitude is only related to the graded creep property distribution inside the vessel. However the variation of the creep strain is both determined by the graded creep property distribution and the graded elastic pattern. The different gradient distributions are further discussed to reduce the creep stress and strain along the wall thickness. The research work performed can be used to guide the structural and optimum design of functionally graded material spherical vessel.

Key words: Functionally graded material Spherical vessel Creep Stress Strain

CLC No: TB333

国家自然科学基金(50225517, 50505012)、教育部霍英东青年教师基金(101054)和上海启明星(05QMX1416)资助项目. Received 20070317, received in revised form 20071222

Open or Download Full Text of this Paper (PDF File)

References

[1] TUTUNCU N, OZTURK M. Exact solutions for stresses in functionally graded pressure vessels[J]. Composites Part B: Engineering, 2001, 32(8): 683-686.
[2] YOU L H, ZHANG J J, YOU X Y. Elastic analysis of in-ternally pressurized thick-walled spherical pressure vessels of functionally graded materials[J]. International Journal of Pressure Vessels and Piping, 2005, 82(5): 347-354.
[3] SHAHSIAH R, ESLAMI M R, NAJ R. Thermal instability of functionally graded shallow spherical shell[J]. Journal of Thermal Stresses, 2006, 29(8): 771-790.
[4] MARTIN P A. On functionally graded balls and cones[J]. Journal of Engineering Mathematics, 2002, 42(2): 133-142.
[5] HORGAN C O, CHAN A M. The pressurized hollow cyl-inder or disk problem for functionally graded isotropic linearly elastic materials[J]. Journal of Elasticity, 1999, 55: 43-59.
[6] SINGH S B, RAY S. Steady-state creep behavior in an iso-tropic functionally graded material rotating disc of al-sic composite[J]. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science, 2001, 32(7): 1 679-1 685.
[7] CORMEAU I. Numerical stability in quasi-static elasto/visco-plasticity[J]. International Journal for Numeri-cal Methods in Engineering, 1975, 9(1): 109-127.
　