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A biem optimization method for fracture dynamics inverse problem

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Abstract

In the present paper, based on the theory of dynamic boundary integral equation, an optimization method for crack identification is set up in the Laplace frequency space, where the direct problem is solved by the author's new type boundary integral equations and a method for choosing the high sensitive frequency region is proposed. The results show that the method proposed is successful in using the information of boundary elastic wave and overcoming the ill-posed difficulties on solution, and helpful to improve the identification precision.

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References

  1. Huang WH, Ma YR, Zhou ZZ, et al. Trends and opportunities on inverse problems in elastodynamics.Chinese J of Appl Mech, 1994, 11(3), 1–10 (in Chinese)

    MATH  Google Scholar 

  2. Yang HZ, Zhang YG, Lu XR. The inverse problems in solid dynamics. In: Huang KZ ed. The Development Trends on Solid Mechanics. Beijing: Press of University of Beijing Science and technology, 1994, 55–73 (in Chinese)

    Google Scholar 

  3. Kubo S. Requirements for uniqueness of crack identification from electric potential distributions. In: Yamaguti M ed. ICM-90 Satellite Conference Proceedings, Tokyo: Springer-Verlag, 1990. 52–58

    Google Scholar 

  4. Gubernatis JE, Domany E, Krumhansl JA. Formal aspect of the theory of scattering of ultrasound by flaws in elastic materials.J Appl Phys, 1977, 48(7): 2804–2812

    Article  Google Scholar 

  5. Huang WH, Zhou ZZ, Ma YR, et al. BORN approximation method in inverse problems of elastodynamics, In: Huang KZ ed. Solid Mechanics and its Engineering Applications. Beijing: Press of Tsinghua University, 1993, 126–135 (in Chinese)

    Google Scholar 

  6. Achenbach JD, Sotiropoulos DA, Zhu H. Characterization of cracks from ultrasonic scattering data.J of Appl Mech, Trans of ASME, 1987, 54(2): 754–760

    Article  MATH  Google Scholar 

  7. Tanaka M, Nakamura M, Nakano T. Detection of cracks in structural components by elastodynamic boundary element method. In: Boundary Elements, XII, Vol.2, Tokyo: Springer-Verlag, 1990. 413–424

    Google Scholar 

  8. Nishimura N. Regularized integral equations for crack shape determination problems. In: Yamaguti M ed. ICM-90 Satellite Conference Proceedings. Tokyo: Springer-Verlag, 1990. 59–65

    Google Scholar 

  9. Chen YM, Xie GQ. An iterative method for simultaneous determination of bulk and shear moduli and density variations.J of Comput Phys, 1986, 62(1): 43–163

    MathSciNet  Google Scholar 

  10. Chen WJ, Liu CT. Singular integral equation method for plane fracture dynamic problem.J of Lanzhou University, 1996, 32(1): 31–35 (in Chinese)

    Article  MATH  Google Scholar 

  11. Fox RL. Optimization Methods for Engineering Design. Massachusetts: Addison-Wesley Publishing Co., 1971. 38–116

    Google Scholar 

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The project supported by Foundation of the National Post-Doctoral Committee.

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Weijiang, C., Chuntu, L. A biem optimization method for fracture dynamics inverse problem. Acta Mech Sinica 12, 263–271 (1996). https://doi.org/10.1007/BF02486812

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  • DOI: https://doi.org/10.1007/BF02486812

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