Abstract
Within the framework of the linearized model of a prestressed elastic body, we study some statements of two-dimensional inverse problems on the prestressed state restoration. We consider inverse problems of 2 types, in the presence of additional data on the measured displacement field: (1) in a set of points of the region at a fixed vibration frequency, and (2) on a boundary part in some frequency range. We investigate the questions of solution uniqueness for the 1st type inverse problem. We propose and discuss some techniques for solving the stated inverse problems.
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Acknowledgements
This work was financially supported by a grant from the Government of the Russian Federation (Agreement No. 075-15-2019-1928).
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Nedin, R.D., Vatulyan, A.O. (2022). Advances in Modeling and Identification of Prestresses in Modern Materials. In: Altenbach, H., Eremeyev, V.A., Galybin, A., Vasiliev, A. (eds) Advanced Materials Modelling for Mechanical, Medical and Biological Applications. Advanced Structured Materials, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-81705-3_19
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DOI: https://doi.org/10.1007/978-3-030-81705-3_19
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