Abstract
The equation of stress intensity factors(SIF) of internally pressurized thick-walled cylinder was used as the reference case. SIF equation of rotating thick-walled cylinder containing a radial crack along the internal bore was presented in weight function method. The weight function formulas were worked out and can be used for all kinds of depth of cracks, rotating speed, material, size of thick-walled cylinder to calculate the stress intensity factors. The results indicated the validity and effectiveness of these formulas. Meanwhile, the rules of the stress intensity factors in rotating thick-walled cylinder with the change of crack depths and the ratio of outer radius to inner radius were studied. The studies are valuable to engineering application.
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References
Fan Tianyou. Foundation of Fracture Theory[M]. Science Press, Beijing,2003,20–28(in Chinese)
Aeronautical Academy of China. Handbook of Stress Intensity Factor[M]. Science Press, Beijing, 1993,7–438 (in Chinese).
Wu Xueren. Weight function and stress intensity factors for an internal axial crack in hollow cylinder[J]. ACTA Mechanical Solid Sinica,1990,11(2):175–180(in Chinese).
Kiciak A, Glinka G, Burns D J. Calculation of stress intensity factors and crack opening displacements for cracks subjected to complex stress fields[J]. Journal of Pressure Vessel Technology, 2003,125(4):260–266.
Chen Aijun, Xu Chen, Wang Zhiqun. Weight function for stress intensity factors in the assemblage stress in combined thick wall cylinder[J]. Journal of Ship Mechanics,2003, 7(2): 89–94(in Chinese).
Xu Bingye, Liu Xinsheng. Applied Elasticity and Plasticity[M]. Tsinghua University Press,1995, 236–242(in Chinese).
Bueckner H F. A novel principle for the computation of stress intensity factors[J]. Z Angew Math Mech, 1970,50(8):529–546.
Rice J R. Some remarks on elastic crack-tip stress fields[J]. Int J Solids Struct,1972,8(6):751–758.
Bowie O L, Neal D M. Modified mapping-collocation technique for accurate calculation of stress intensity factors[J]. Int J Fract Mech,1970,6(2):199–206.
Raju I S, Newman J C. Stress intensity factors for internal and external surface cracks in cylindrical vessels[J]. Journal of Pressure Vessel Technology,1982,104(4):293–298.
Kirkhope K J, Bell R, Kirkhope J. Stress intensity factor equations for single and multiple cracked pressurized thick-walled cylinders[J]. Int J Pres Ves and Piping,1990,41(1):103–111.
Petroski H J, Achenbach J D. Computation of the weight function from a stress intensity factor[J]. Engineering Fracture Mechanics,1978,10(2):257–266.
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Chen, Aj., Zeng, Wj. Weight function for stress intensity factors in rotating thick-walled cylinder. Appl Math Mech 27, 29–35 (2006). https://doi.org/10.1007/s10483-006-0105-1
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DOI: https://doi.org/10.1007/s10483-006-0105-1