Abstract
This work is devoted to the study of the void identification problem from partially overdetermined boundary data in the 2D-elastostatic case. In a first part, a shape identifiability result from a Cauchy data is presented, i.e. with traction field and boundary displacement as measurements. Then this geometric inverse problem is tackled by the minimization of two cost functionals, an energy gap functional and an
Funding statement: This work was supported by the Tunisian Ministry of Higher Education and Scientific Research.
Acknowledgements
The author wishes to thank Pr. Amel Ben Abda for numerous discussions on the subject of this article.
References
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