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Development of Finite Element Models for Predicting the Mechanical Behavior of the Cracked Pipe

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

In this paper, two theoretical models, micro and macro model, are presented to investigate the effect of circumferential cracks on the structural characteristics of a pipe. In the micro model, the equivalent bending stiffness is obtained based on the energy method and fracture mechanics. Because of the high change of strain energy near the crack location, the variation is represented by reduction in the bending stiffness along the length of the pipe. The development of the macro model is based on a simplified procedure, i.e., the pipe is separated into two segments without any change in the cross section property. Two separated pieces are connected by a rotational massless spring of the infinitesimal length inserted at the crack location. Moreover, it is shown that in the macro model so smaller number of elements are required than the micro model to provide a sufficient accuracy. Finally, the experimental measurements are utilized to validate the proposed models. The deflections and frequencies obtained for several cases through the displacement and vibration method, using the proposed models agree reasonably well with the experimental measurement data.

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References

  • Bathe, K. J. (2013). Finite element procedures, Prentice Hall, New York, USA, pp. 149–192.

    Google Scholar 

  • Behzad, M., Ghadami, A., Maghsoodi, A., and Michael, J. (2013). “Vibration based algorithm for crack detection in cantilever beam containing two different types of cracks.” Journal of Sound and Vibration, Vol. 332, No. 24, 6312–6320, DOI: 10.1016/j.jsv.2013.07.003.

    Article  Google Scholar 

  • Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (1996). Concepts and applications of finite element analysis, John Wiley & Sons, Madison, USA, pp. 109–136.

    Google Scholar 

  • Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. (1996). Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A Literature Review, Los Alamos national laboratory report LA13070-MS, New Mexico, USA, DOI: 10.2172/249299.

    Book  Google Scholar 

  • Hellier, C. (2001). Handbook of nondestructive damage evaluation, McGraw-Hill, New York, USA, pp. 3.1-3-53.

    Google Scholar 

  • Lee, J. W., Kim, S. R., and Huh, Y. C. (2014). “Pipe crack identification based on the energy method and committee of neural networks.” International Journal of Steel Structures, Vol. 14, No. 2, 345–354, DOI: 10.1007/s13296-014-2014-0.

    Article  Google Scholar 

  • Maghsoodi, A., Ghadami, A., and Mirdamadi, H. (2013). “Multiplecrack damage detection in multi-step beams by a novel local flexibility-based damage index.” Journal of Sound and Vibration, Vol. 332, pp. 294–305, DOI: 10.1016/j.jsv.2012.09.002.

    Article  Google Scholar 

  • Mehrjoo, M., Khaji, N., and Ghafory-Ashtiany, M. (2014). “New Timoshenko-cracked beam element and crack detection in beam-like structures using genetic algorithm.” Inverse Problems in Science and Engineering, Vol. 22, No. 3, 359–382, DOI: 10.1080/17415977.2013.788170.

    Article  Google Scholar 

  • Murigendrappa, S. M., Maiti, S. K., and Srirangarajan, H. R. (2004). “Frequency-based experimental and theoretical identification of multiple cracks in straight pipes filled with fluid.” NDT & E International, Vol. 37, No. 6, 431–438, DOI: 10.1016/j.ndteint.2003.11.009.

    Article  Google Scholar 

  • Murigendrappa, S. M., Maiti, S. K., and Srirangarajan, H. R. (2004). “Experimental and theoretical study on crack detection in pipes filled with fluid.” Journal of Sound and Vibration, Vol. 270, pp. 1013–1032, DOI: 10.1016/S0022-460X(03)00198-6.

    Article  Google Scholar 

  • Naik, S. S. (2012). “Crack detection in pipes using static deflection measurements.” Journal of the Institution of Engineers, Vol. 93, No. 3, 209–215, DOI: 10.1007/s40032-012-0027-z.

    Google Scholar 

  • Ostachowicz, W. M. and Krawczuk, M. (1991). “Analysis of the effect of cracks on the natural frequencies of a cantilever beam.” Journal of Sound and Vibration, Vol. 150, No. 2, 191–201, DOI: 10.1016/0022-460X(91)90615-Q.

    Article  Google Scholar 

  • Swamidas, A. S. J., Yang, X., and Seshadri, R. (2004). “Identification of cracking in beam structures using Timoshenko and Euler formulations.” Journal of Engineering Mechanics, Vol. 130, No. 11, 1297–1308, DOI: 10.1061/(ASCE)0733-9399(2004).30:11(1297).

    Article  Google Scholar 

  • Tada, H., Paris, P. C., and Irwin, G. R. (2000). The stress analysis of cracks handbook, ASME, New York, USA, pp. 39–78.

    Book  Google Scholar 

  • Yang, X. F., Swamidas, A. S. J., and Seshadri, R. (2001). “Crack identification in vibrating beams using the energy method, Independent nondestructive testing and evaluation.” Journal of sound and vibration, Vol. 244, No. 2, 339–357, DOI: 10.1006/jsvi.2000.3498.

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Engineering, Ardakan University, Ardakan, 9549189518, Iran

    Amir Banimahd

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  1. Amir Banimahd
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Correspondence to Amir Banimahd.

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Banimahd, A. Development of Finite Element Models for Predicting the Mechanical Behavior of the Cracked Pipe. KSCE J Civ Eng 22, 5035–5045 (2018). https://doi.org/10.1007/s12205-017-1361-8

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  • DOI: https://doi.org/10.1007/s12205-017-1361-8

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