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IssuesArchive of Issues2020-5pp.624-632

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A.O. Vatulyan and R.D. Nedin, "On the Reconstruction of the Characteristics of the Plane Initial Stress State," Mech. Solids. 55 (5), 624-632 (2020)
Year 2020 Volume 55 Number 5 Pages 624-632
DOI 10.3103/S0025654420050143
Title On the Reconstruction of the Characteristics of the Plane Initial Stress State
Author(s) A.O. Vatulyan (Southern Federal University, Rostov-on-Don, 344090 Russia; Southern Mathematical Institute-the Affiliate of Vladikavkaz Scientific Centre of Russian Academy of Sciences, Vladikavkaz, 362025 Russia, vatulyan@math.rsu.ru)
R.D. Nedin (Southern Federal University, Rostov-on-Don, 344090 Russia, rdn90@bk.ru)
Abstract A model of planar oscillations of a plane region in the presence of prestress fields is formulated. Various formulations of two-dimensional inverse problems on the restoration of the preliminary stress state are presented. Methods and algorithms for solving the stated inverse problems are proposed and discussed.
Keywords prestressing, inverse problem, flat domain, Cauchy problem, Fredholm integral equation of the 1st kind, iterative process
Received 23 March 2020Revised 28 March 2020Accepted 18 April 2020
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