A Cartesian parametrization for the numerical analysis of material instability [electronic resource].
- Washington, D.C. : United States. National Nuclear Security Administration, 2016.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- 31 pages : digital, PDF file
- Additional Creators:
- Sandia National Laboratories
United States. National Nuclear Security Administration
United States. Department of Energy. Office of Scientific and Technical Information
- We examine four parametrizations of the unit sphere in the context of material stability analysis by means of the singularity of the acoustic tensor. We then propose a Cartesian parametrization for vectors that lie a cube of side length two and use these vectors in lieu of unit normals to test for the loss of the ellipticity condition. This parametrization is then used to construct a tensor akin to the acoustic tensor. It is shown that both of these tensors become singular at the same time and in the same planes in the presence of a material instability. Furthermore, the performance of the Cartesian parametrization is compared against the other parametrizations, with the results of these comparisons showing that in general, the Cartesian parametrization is more robust and more numerically efficient than the others.
- Published through SciTech Connect.
International Journal for Numerical Methods in Engineering ISSN 0029-5981 AM
Alejandro Mota; Qiushi Chen; James W. Foulk, III; Jakob T. Ostien; Zhengshou Lai.
- Funding Information:
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