Учет нелинейных слагаемых в методе малого параметра решения плоской задачи о двухкомпонентном материале с наноразмерным рельефом межфазной поверхности.

Денис Алексеевич Шамсутдинов, Сергей Алексеевич Костырко

Research output: Contribution to journalArticle


In the present paper, we analyze the effects of nonlinear terms in the method of the small parameter for a plane strain problem of isotropic bimaterial solid with a nanosized interface relief. In this case constitutive relations are the equations of both surface and bulk elasticity. The conditions of mechanical equilibrium are described using the generalized Young-Laplace equation. At each step of the asymptotic approximation, the boundary value problem reduces to a hypersingular integral equation. The results of the effects of nonlinear terms are considered of a comparison of the maximum values of hoop stresses.
Original languageRussian
Pages (from-to)96-100
Issue number1
StatePublished - 2019
Externally publishedYes


  • Bimaterial
  • method of the small parameter
  • nanosized interface relief
  • stress concentration
  • двухкомпонентный материал
  • концентрация напряжений
  • метод малого параметра
  • наноразмерный рельеф поверхности

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