Wave Dispersion and Propagation in Linear Peridynamic Media
We detail the linear peridynamic wave equation with a nonlocal integral form based on the linear peridynamic and dynamic theory. Wave dispersion in an infinite maraging steel material is obtained by analyzing the linear peridynamic wave equation. The dispersion curves, group velocity, phase velocity...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9528978 |
| Summary: | We detail the linear peridynamic wave equation with a nonlocal integral form based on the linear peridynamic and dynamic theory. Wave dispersion in an infinite maraging steel material is obtained by analyzing the linear peridynamic wave equation. The dispersion curves, group velocity, phase velocity, and other wave parameters of the shear and longitudinal waves in an infinite media are obtained using numerical methods. We obtained the optimal calculation parameters by analyzing the weight function, horizon, mesh size, and other numerical calculation parameters on the dispersion curve. We simulated the propagation of waves in an infinite media by applying these parameters into the peridynamic wave equation. We conclude that the wave model can generate waves that propagate in all directions with initial loads. The wavefront is an ellipsoid. |
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| ISSN: | 1070-9622 1875-9203 |