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arXiv · 2609.19594

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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Gunther Uhlmann, Jian Zhai. 2026-09-17. Determination of hyperelastic parameters with non-trapping wavespeeds. https://arxiv.org/abs/2609.19594

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