caa a22 4500 606189068 CHVBK 20210128100848.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10891-015-1274-7 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1274-7 On Determination of Inhomogeneous Thermomechanical Characteristics of a Pipe [Elektronische Daten] [A. Vatul′yan, S. Nesterov] Structures from inhomogeneous materials are widely used in various fields of technology with large thermomechanical loads. The efficiency of use of such materials depends on the knowledge of exact laws of inhomogeneity, which requires solution of inverse coefficient thermoelasticity problems. In the present work, we give versions of statement of inverse thermoelasticity problems for an inhomogeneous cylindrical pipe. Investigation of the primal problem on radial oscillations of the pipe is reduced to solution of a system of ordinary differential equations of 1st order in Laplace transforms on the basis of the targeting method and the employment of the inversion technique implemented in accordance with the Durbin method. For solution of a nonlinear inverse problem on the basis of the linearization method, we construct an iterative process each stage of which is used for solution of the Fredholm integral equation of the 1st kind. Consideration is given to specific examples of reconstruction of thermomechanical characteristics of an inhomogeneous cylinder. Computational experiments show the efficiency of this approach to reconstruction of different inhomogeneity laws. Springer Science+Business Media New York, 2015 inverse coefficient problem nationallicence thermoelasticity nationallicence pipe nationallicence Vatul′yan A. I. I. Vorovich Institute of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, 8a Mil′chakov Str., 344090, Rostov-on-Don, Russia aut Nesterov S. I. I. Vorovich Institute of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, 8a Mil′chakov Str., 344090, Rostov-on-Don, Russia aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/4(2015-07-01), 984-993 1062-0125 88:4<984 2015 88 10891 https://doi.org/10.1007/s10891-015-1274-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10891-015-1274-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vatul′yan A. I. I. Vorovich Institute of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, 8a Mil′chakov Str., 344090, Rostov-on-Don, Russia aut NATIONALLICENCE 700 1- Nesterov S. I. I. Vorovich Institute of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, 8a Mil′chakov Str., 344090, Rostov-on-Don, Russia aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/4(2015-07-01), 984-993 1062-0125 88:4<984 2015 88 10891