Geodesic
About the Specifics of Identification Thermomechanical Characteristics of~Functionally Graded Materials
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 329-335

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Functionally graded materials are widely used in engineering fields with large thermo-mechanical loads. Efficiency of application of these materials depends on accurate knowledge of the laws of heterogeneity. Earlier, the authors have proposed an approach for the identification of smooth laws of heterogeneity for thermoelastic rod. To do this, were received operator equation linking activities and measurable functions for the solution of inverse problem and carried out computational experiments. In this paper, on the basis of the device, previously developed, were investigated features for restoring thermoelastic characteristics with a large gradient in the vicinity of the center and the end of the rod. 
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     author = {A. O. Vatulyan and S. A. Nesterov},
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     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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A. O. Vatulyan; S. A. Nesterov. About the Specifics of Identification Thermomechanical Characteristics of~Functionally Graded Materials. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 329-335. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a12/