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Nonlinear Deformation of a Thin Interface Inclusion

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Materials Science Aims and scope

We develop a model of thin inclusion with nonlinear anisotropic mechanical properties of the general form. By using this model and the methods of the problem of conjugation of the limit values of analytic and jump functions, we construct a system of singular integral equations with variable coefficients (functions). The solution of the system enables us to describe any changes (monotonic or nonmonotonic) in the quasistatic load and its influence on the stress-strain state of the body with inhomogeneity on the basis of the incremental approach. For the numerical solution of the system, we propose an iterative numerical-analytic method.

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Authors and Affiliations

  1. I. Franko Lviv National University, Lviv, Ukraine

    H. T. Sulym

  2. Ukrainian Printing Academy, Lviv, Ukraine

    I. Z. Piskozub

Authors
  1. H. T. Sulym
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  2. I. Z. Piskozub
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Correspondence to I. Z. Piskozub.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 53, No. 5, pp. 24–30, September–October, 2017.

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Sulym, H.T., Piskozub, I.Z. Nonlinear Deformation of a Thin Interface Inclusion. Mater Sci 53, 600–608 (2018). https://doi.org/10.1007/s11003-018-0114-2

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  • DOI: https://doi.org/10.1007/s11003-018-0114-2

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