In this paper we show that the shear modulus $\mu$ of an isotropic elastic body can be stably recovered by the knowledge of one single displacement field whose boundary data can be assigned independently on the unknown elasticity tensor.
Stable determination of a Lamé coefficient by one internal measurement of displacement / Di Fazio, Giuseppe; Francini, Elisa; Raciti, Fabio; Vessella, Sergio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 452:(2017), pp. 388-400. [10.1016/j.jmaa.2017.03.013]
Stable determination of a Lamé coefficient by one internal measurement of displacement
FRANCINI, ELISA;VESSELLA, SERGIO
2017
Abstract
In this paper we show that the shear modulus $\mu$ of an isotropic elastic body can be stably recovered by the knowledge of one single displacement field whose boundary data can be assigned independently on the unknown elasticity tensor.
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