Structural Engineering and Mechanics

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A new approach for finite element analysis of delaminated composite beam, allowing for fast and simple change of geometric characteristics of the delaminated area

  • Perel, Victor Y. (University of Dayton Research Institute)
  • Received : 2005.02.07
  • Accepted : 2006.09.19
  • Published : 2007.03.30
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Abstract

In this work, a new approach is developed for dynamic analysis of a composite beam with an interply crack, based on finite element solution of partial differential equations with the use of the COMSOL Multiphysics package, allowing for fast and simple change of geometric characteristics of the delaminated area. The use of COMSOL Multiphysics package facilitates automatic mesh generation, which is needed if the problem has to be solved many times with different crack lengths. In the model, a physically impossible interpenetration of the crack faces is prevented by imposing a special constraint, leading to taking account of a force of contact interaction of the crack faces and to nonlinearity of the formulated boundary value problem. The model is based on the first order shear deformation theory, i.e., the longitudinal displacement is assumed to vary linearly through the beam's thickness. The shear deformation and rotary inertia terms are included into the formulation, to achieve better accuracy. Nonlinear partial differential equations of motion with boundary conditions are developed and written in the format acceptable by the COMSOL Multiphysics package. An example problem of a clamped-free beam with a piezoelectric actuator is considered, and its finite element solution is obtained. A noticeable difference of forced vibrations of the delaminated and undelaminated beams due to the contact interaction of the crack's faces is predicted by the developed model.

Keywords

References

  1. Liu, GR. and Han, X. (2003), Computational Inverse Techniques in Nondestructive Evaluation, CRC Press, Boca Raton
  2. Luo, H. and Hanagud, S. (2000), 'Dynamics of delaminated beams', Int. J Solids Struct., 37(10), 1501-1519 https://doi.org/10.1016/S0020-7683(98)00325-4
  3. Mujumdar, P.M. and Suryanarayan, S. (1988), 'Flexural vibrations of beams with delaminations', J Sound Vib., 125(3),441-461 https://doi.org/10.1016/0022-460X(88)90253-2
  4. Perel, V.Y. (2005a), 'A numerical-analytical solution for dynamics of composite delaminated beam with piezoelectric actuator, with account of nonpenetration constraint for the delamination crack faces', J Composite Mater., 39(1),67-103 https://doi.org/10.1177/0021998305046462
  5. Perel, V.Y. (2005b), 'A finite element model for dynamics of delaminated composite beam with account of contact of the delamination crack faces, based on the first order shear deformation theory', J Composite Mater.,39(20),1843-1876 https://doi.org/10.1177/0021998305051803
  6. Ramkumar, R.L., Kulkarni, S.V. and Pipes, R.B. (1979), 'Free vibration frequencies of a delaminated beam', In: 34th Annual Technical Conference, 1979. Reinforced Plastics/Composites Institute. The Society of the Plastics Industry Inc. 22-E: 1-5
  7. Reddy, J.N. (1984), Energy and Variational Methods in Applied Mechanics, John Wiley & Sons, New York
  8. Wang, J. and Tong, L. (2002), 'A study of the vibration of delaminated beams using a nonlinear antiinterpenetration constraint model', Comput. Struct., 57(4),483-488 https://doi.org/10.1016/S0263-8223(02)00117-4
  9. Wang, J.T.S., Liu, Y.Y. and Gibby, J.A. (1982), 'Vibrations of split beams', J Sound Vib., 84(4),491-502 https://doi.org/10.1016/S0022-460X(82)80030-8

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