Structural Engineering and Mechanics

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An efficient finite element modeling of dynamic crack propagation using a moving node element

  • Kwon, Y.W. (Mechanical Engineering Department, Naval Postgraduate School) ;
  • Christy, C. (Mechanical Engineering Department, Naval Postgraduate School)
  • Published : 1994.06.25
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Abstract

The objective of this study was to develop a simple and efficient numerical modeling technique for dynamic crack propagation using the finite element method. The study focused on the analysis of a rapidly propagation crack in an elastic body. As already known, discrete crack tip advance with the stationary node procedure results in spurious oscillation in the calculated energy terms. To reduce the spurious oscillation, a simple and efficient moving node procedure is proposed. The procedure does require neither remeshing the discretization nor distorting the original mesh. Two different central difference schemes are also evaluated and compared for dynamic crack propagation problem.

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References

  1. Bathe, K J. (1982), Finite element procedures in engineering analysis, pp.499-556, Prentice-Hall, Inc.
  2. Broberg, K. B. (1960), "The propagation of a brittle crack", Arkiv for Fysik, 18, pp.159-198.
  3. Cook, R. D. (1981), Concepts and applications of finite element analysis, 2d ed., John Wiley & Sons.
  4. Kanninen, M. F. (1977), "A critical appraisal of solutions in dynamic fracture mechanics", Numerical Method in Fracture Mechanics, pp. 612-633.
  5. Kobayashi, A. S., Emery, A. F. and Mall, S. (1976), "Dynamic-finite-element and dynamic-photoelastic analyses of two fracturing homalite-100 plates", Experimental Mechanics, 16(9), pp. 321-328, September. https://doi.org/10.1007/BF02330248
  6. Kobayashi, A S., Mall, S., Urabe, Y. and Emery, AF. (1977), "A numerical dynamic fracture analysis of three wedge-loaded DCB specimens", Numerical Methods in Fracture Mechanics, pp. 673-684.
  7. Kwon, Y. W. and Akin, J. E. (1989), "Development of a derivative singular element for application to crack problems", Computers and Structures, 31(3), pp.467-471. https://doi.org/10.1016/0045-7949(89)90394-5
  8. Malluck, J. F. and King, W. W. (1978). "Fast fracture simulated by a finite-element anlysis which accounts for crack-tip energy dissipation", Numerical Method in Fracture Mechanics, pp. 648-659.
  9. Nishioka, T. and Atluri, S. N. (1980). "Numerical modeling of dynamic crack propagation in finite bodies. by moving singular elements-part I: formulation", ASME Journal of Applied Mechanics, 47, pp. 570-576, September https://doi.org/10.1115/1.3153733
  10. Nishioka, T. and Atluri, S. N. (1986), "Computational methods in dynamic fracture", Computational Methods in Mechania of Fracture, pp. 335-383.
  11. Park, K.C. (1977), "Practical aspects of numerical time integration", Computers and Structures, 7, pp. 343-3s3. https://doi.org/10.1016/0045-7949(77)90072-4

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  1. Vibration analysis of a cracked beam with axial force and crack identification vol.9, pp.4, 1994, https://doi.org/10.12989/sss.2012.9.4.355