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Wave propagation in solids
| Project Leader: | Prof. R. Jeltsch |
| Researchers: | Prof. R. Jeltsch, G. Giese |
| Date: | 06.01.2000 |
Description
Most of the numerical schemes used in Computational Fluid Dynamics for hyperbolic equations can also be applied to the propagation of waves in solids.
In the case of elastic deformation where the stress components are linear in the strain components, the problem reduces to the wave equation with constant coefficients. However, when a plastic wave is considered, the equation of state connecting strain and stress components depends on the past of the conserved variables. Hence, the governing equations become non-linear.
The method used to compute solutions for elasto-plastic equations is called Method of Transport, a genuine multi-dimensional numerical scheme which was originally derived for the Euler equations. Although our scheme is not adjusted to a special problem, e.g. 1-D problems, the accuracy of the results is comparable to other schemes which show best results for one-dimensional problems, e.g. vector splitting.
Contacts
Prof. Rolf Jeltsch and Guido Giese (ggiese@sam.math.ethz.ch).
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