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arXiv · 1808.01505

Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity

Yang Yang·Jian Zhai
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Abstract

We consider a linearized inverse boundary value problem for the elasticity system. From the linearized Dirichlet-to-Neumann map at zero frequency, we show that a transversely isotropic perturbation of a homogeneous isotropic elastic tensor can be uniquely determined. From the linearized Dirichlet-to-Neumann map at two distinct positive frequencies, we show that a transversely isotropic perturbation of a homogeneous isotropic density can be identified at the same time.

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Yang Yang, Jian Zhai. 2018-08-04. Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity. https://arxiv.org/abs/1808.01505

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