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Inverse problem of nondestructive optical testing of residual stresses in cyclindrical shells

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Abstract

We considered the inverse problem of determination of the stress-strain state of a circular cylindrical shell that consists of two heterogeneous parts joined by a circular seam. As the input data for this problem, the results of polarization-optical measurements are used. The problem is formulated within the framework of a model that considers residual stress as caused by the geometric incompatibility of elastic deformations.

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References

  1. Kh. K. Aben,Integral Photoelasticity [in Russian], Valgus, Tallinn (1975).

    Google Scholar 

  2. V. S. Vladimirov,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  3. Ya. S. Pidstryhach and S. Ya. Yarema,Thermal Stresses in Shells [in Ukrainian], Academy of Sciences of Ukr. SSR, Kiev (1961).

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  4. Ya. S. Pidstryhach, V. A. Osadchuk, and A. M. Marholin,Residual Stresses, Long-Telrm Strength, and Reliability of Glass Structures [in Russian], Naukova Dumka, Kiev (1991).

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Pidstryhach Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'viv. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 2, pp. 151–156, April–June, 1998.

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Chekurin, V.F. Inverse problem of nondestructive optical testing of residual stresses in cyclindrical shells. J Math Sci 99, 1692–1698 (2000). https://doi.org/10.1007/BF02674192

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  • DOI: https://doi.org/10.1007/BF02674192

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