The Evaluation of LBB Behavior and Crack Opening Displacement on Statically Indeterminate Piping System Subjected to Monotonic Load The plastic collap

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1 The Evaluation of LBB Behavior and Crack Opening Displacement on Statically Indeterminate Piping System Subjected to Monotonic Load The plastic collapse and LBB behavior of statically indeterminate piping system were investigated in this study, compared with statically determinate piping system. Special attention was paid to evaluate the crack opening displacement after a crack penetrated wall thickness. The main results obtained were as follows: (1) The reduction of ultimate strength caused by a crack was relatively small in the statically indeterminate piping system. The main reason is considered that a sufficient redistribution of the bending moment occurs in this system. From this study, it was also known that the statically indeterminate piping system has more safety margin for LBB behavior than the statically determinate piping system. (2) A method to evaluate the crack opening displacement after crack penetration in pipe with a non-penetrating crack was proposed. From this method, it was known that the crack opening displacement could be evaluated by using the plastic rotation angle. (3) The acceptable defect size considering the deformation of a pipe was estimated by comparing the plastic moment at the defective part and the gross yielding moment at the nondefective section. Nomenclature E: Young's modulus ILBB: LBB INDEX K: stress intensity factor MB: break moment

2

3 Fig. 1 A model to evaluate COD in pipe under a bending moment

4 In the case of statically indeterminate piping system In the case of statically determinate piping system (a) Statically determinate system (b) Statically indeterminate system Fig. 2 Plastic collapse model under 4-point bending

5 Table 2 Specimen geometry, test conditions and results Table 1 Mechanical properties of STS 370 (a) Statically determinate piping system (b) Statically indeterminate piping system (c) Section of pipe including crack Fig. 3 4-point bending test and cracked section of pipe

6 Fig. 4(a) Load-displacement curve (SD-1, SD-2, SI-1, SI-2) Fig. 5 Results of LBB behavior on test specimens Fig. 4(b) Load-displacement curve (SD-3, SD-4, SD-5, S1-3, SI-4)

7 Fig. 6 Comparison between calculated and experimental elastic COD (Tada-Paris method) Fig. 7 Comparison between calculated and experimental full COD (Tada-Paris method) Fig. 8 Correlation between experimental full COD and incremental plastic rotation angle

8 Fig. 9 Comparison between calculated and experimental full CUD (Evaluation method from Fig. 1) Fig. 10 Limit value of a defect size to allow gross yielding to occur at the non-defective section of a pipe

9 1) Liu, S.P., Hidaka, A., Kojima, T. and Ando, K., 1996, "Ultimate Strength and Plastic Collapse Behavior of Statically Indeterminate Beams with Crack", JSME. Vol.62, No.595, pp ) Liu, S.P. and Ando, K., 1996, "Ultimate Strength and Plastic Collapse Behavior of Statically Indeterminate Pipes with Crack and Compliances", JSME. Vol.62, No.597, pp ) Liu, S.P. and Ando, K., 1996, "Leak Before Break and Plastic Collapse Behavior of Statically Indeterminate Pipe System with Circumferential Crack", JHPI, Vol.34, No.6, pp ) Matsumoto, K., Nakamura, S. and Gotoh, N. et al, 1991, "Study on Crack Opening Area and Coolant Leak Rates on Pipe Cracks", Int. J. Pres. Ves. & Piping. 46, pp ) Hasegawa, K., Okamoto, A., Yokota, H., Yamamoto, Y., Shibata, K., Oshibe, T. and Matsumura, K., 1991, "Crack Opening Area of Pressurized Pipe for Leak-Before-Break Evaluation", JSME. International Journal. Series I, Vol.34, pp ) Hasegawa, K., Sakata, S., Simizu, T. and Shida, S., 1983, "Prediction of Fracture Tolerances for Stainless Steel Pipes with Circumferential Cracks", ASME Int. J. Press. Ves. and Piping.95, pp ) The Application of Fracture Proof Design Methods using Tearing Instability Theory to Nuclear Piping Postulating Circumferential Through Wall Cracks, NUREG CR-3464, ) Ahn, S.H., Ando, K., Ishiwata, M. and Hasegawa, K., 1998, "Plastic Collapse Behavior of Pipes with Local Wall Thinning Subjected to Bending Load and Allowable Limit", JHPI. Vol.36, No.4, pp

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