참고문헌
- Hill, R. and Siebel, M. P. L., 1951, "On Combined Bending and Twisting of Thin Tubes in the Plastic Range," Phil. Mag., 42, p. 722. https://doi.org/10.1080/14786445108561300
- Mura, T., Rimawi, W.H. and Lee, S.L., 1965, "Extended Theorems of Limit Analysis," Quarterly of applied mathematics, Vol. 23, No. 2, pp. 171-179. https://doi.org/10.1090/qam/99943
- Goodall, I. W., 1978b, "Lower Bound Limit Analysis of Curved Tubes Loaded by Combined Internal Pressure and In-plane Bending Moment," Research Division Report RD/B/N4360, Central Electricity Generating Board, UK.
- Ainsworth, R.A., 1984, "The Assessment of Defects in Structures of Strain Hardening Materials," Engineering Fracture mechanics, Vol. 19, pp. 633-642. https://doi.org/10.1016/0013-7944(84)90096-1
-
Seshardri, R. and Mangalaramanan, S.P., 1997, "Lower Bound Limit Loads using Variational Concepts: the
$m_{\alpha}$ -method," Int, J Pressure Vessels Piping, Vol. 71, pp. 93-106. https://doi.org/10.1016/S0308-0161(96)00071-3 - Xuan, F.Z., Li, P.N. and Tu, S.T., 2003, "Limit Load Analysis for the Piping Branch Junctions under Internal Pressure," Nucl Eng Design., Vol. 224, pp. 1-9. https://doi.org/10.1016/S0029-5493(03)00075-X
- Kim, Y.J., Lee, K.H. and Park, C.H., 2006, "Limit Loads for Thin-walled Piping Branch Junctions under Internal Pressure and In-plane Bending," Int J. of Pres. Ves. and pip., Vol. 83, pp. 645-653. https://doi.org/10.1016/j.ijpvp.2006.07.002
- Xuan, F.Z., Li, P.N. and Tu, S.T., 2006, "Limit Load Analysis for the Piping Branch Junctions under Inplane Moment," Int J. Mech. Sci., Vol 48, pp. 460-467. https://doi.org/10.1016/j.ijmecsci.2005.07.013
- Kim, Y.J. and Oh, C.S., 2007, "Effect of Attached Straight Pipes on Finite Element Limit Analysis of Pipe Bends," Int, J Pressure Vessels Piping, Vol. 84, pp. 177-184. https://doi.org/10.1016/j.ijpvp.2006.09.017
-
Seshadri, R. and Hossain, M.M., 2009, "Simplified Limit Load Determination using the
$m_{\alpha}$ -tangent Method," ASME j. Pressure Vessel Technol., Vol. 131, pp. 021213-1-7. https://doi.org/10.1115/1.3067001 - Hossain, M.M., Reinhardt, W.D. and Seshadri, R., 2009, "Simplified Stress Categorization using a Single Linear Elastic Analysis," J. of Pressure Vessel Technology, Vol. 131, 061204-1-10. https://doi.org/10.1115/1.4000199
- Lee, K.H., Kim, Y.J. Budden, P.J. and Nikbin, K., 2009, "Plastic Limit Loads for Thick-walled Branch Junctions," J. Strain analysis, Vol. 44, pp. 143-148. https://doi.org/10.1243/03093247JSA455
-
Kim, Y.J. and Budden, P.J., 2009, "Plastic Loads for
$90^{\circ}$ Thick-walled Elbows under Combined Pressure and Bending," Journal of Strain Analysis., Vol. 45, pp. 115-127. - Kim, N.H., Oh, C.S., Kim, Y.J., Kim, J.S., Jerng, D.W. and Budden, P.J., 2011, "Limit Loads and Fracture Mechanics Parameters for Thick-walled Pipes," Int J. of Pres. Ves. and pip., Vol. 88, pp. 403-414. https://doi.org/10.1016/j.ijpvp.2011.07.005