Calculus of Variations and Geometric Measure Theory

G. Di Fazio - E. Francini - F. Raciti - S. Vessella

Stable determination of a Lamé coefficient by one internal measurement of displacement

created by difazio on 05 Oct 2021



Inserted: 5 oct 2021

Year: 2017

ArXiv: 1702.01775 PDF


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 of the unknown elasticity tensor.