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PreprintarXiv licencearXiv

Determination of hyperelastic parameters with non-trapping wavespeeds

  • Gunther Uhlmann
  • Jian Zhai
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Abstract

We consider the elastic wave equation in three-dimensional isotropic medium with up to quadratic nonlinear terms. We show that five out of the six elastic parameters can be uniquely determined by boundary measurements under the assumption that the wavespeeds are non-trapping, while the last one can also be determined in a generic setting.

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Cite

BibTeXRIS
BibTeX
@misc{uhlmann2026determination,
  title = {{Determination of hyperelastic parameters with non-trapping wavespeeds}},
  author = {Gunther Uhlmann and Jian Zhai},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19594},
  eprint = {2609.19594},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19594},
}
RIS
TY  - UNPB
TI  - Determination of hyperelastic parameters with non-trapping wavespeeds
AU  - Gunther Uhlmann
AU  - Jian Zhai
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.19594
UR  - https://arxiv.org/abs/2609.19594
AB  - We consider the elastic wave equation in three-dimensional isotropic medium with up to quadratic nonlinear terms. We show that five out of the six elastic parameters can be uniquely determined by boundary measurements under the assumption that the wavespeeds are non-trapping, while the last one can also be determined in a generic setting.
ER  -