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Triangular grid method for stress-wave propagation in 2-D orthotropic materials

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Abstract.

A triangular grid method is presented to calculate propagation problems of elastic stress waves in 2-D orthotropic materials. This method is based on the dynamic equilibrium equations of the computational cells formed among the auxiliary triangular grids. The solution is obtained by calculating alternately the nodal displacements and the central point stresses of the spatial grids. The numerical results are compared with the corresponding solutions of the finite element method. Comparisons show that the triangular grid method yields a higher calculational speed than the finite element method. The stress concentrations are investigated from wave-field analyses when the stress wave propagates within an orthotropic plate with a hole. Finally, the presented numerical method is used to study the features of wave propagation and diffraction in a square orthotropic plate with a hole when an impact load is applied to the top of the plate.

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  1. T. Liu

    Present address: School of Civil Engineering, Shenyang Jianzhu University, Shenyang, 110168, P.R. China

Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, P.R. China

    T. Liu, K. Liu & J. Zhang

Authors
  1. T. Liu
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  2. K. Liu
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  3. J. Zhang
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Corresponding author

Correspondence to T. Liu.

Additional information

This work was supported by National Natural Science Foundation of China (Nos. 10025212 and 10232040) and Natural Science Foundation of Liaoning province (No. 20021070).

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Liu, T., Liu, K. & Zhang, J. Triangular grid method for stress-wave propagation in 2-D orthotropic materials. Arch Appl Mech 74, 477–488 (2005). https://doi.org/10.1007/s00419-004-0360-7

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  • DOI: https://doi.org/10.1007/s00419-004-0360-7

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