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2022 | OriginalPaper | Chapter

19. Advances in Modeling and Identification of Prestresses in Modern Materials

Authors : Rostislav D. Nedin, Alexander O. Vatulyan

Published in: Advanced Materials Modelling for Mechanical, Medical and Biological Applications

Publisher: Springer International Publishing

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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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Title: Advances in Modeling and Identification of Prestresses in Modern Materials
Authors: Rostislav D. Nedin
Alexander O. Vatulyan
Publisher: Springer International Publishing
Book: Advanced Materials Modelling for Mechanical, Medical and Biological Applications
Print ISBN: 978-3-030-81704-6

Electronic ISBN: 978-3-030-81705-3

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-3-030-81705-3_19