Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models
نویسندگان
چکیده
Abstract We study some inverse problems involving elasticity models by assuming the knowledge of measurements a function displaced field. In first case, we have linear model with semi-linear type forcing term in solution. Under hypothesis fluid is incompressible, recover field and second Lamé parameter from power density two dimensions. A stability estimate shown to hold for small displacement fields, under natural hypotheses on direction displacement, background pressure fixed. On other hand, prove dimensions three result when follows (nonlinear) Saint-Venant add solution measurements. The most basic hyperelastic material. use over-determined elliptic systems new analysis linearization nonlinear problems.
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ژورنال
عنوان ژورنال: Journal of Inverse and Ill-posed Problems
سال: 2021
ISSN: ['0928-0219', '1569-3945']
DOI: https://doi.org/10.1515/jiip-2020-0142