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  4. Effect of surface tension on the antiplane deformation of bimaterial with a thin interface microinclusion

Effect of surface tension on the antiplane deformation of bimaterial with a thin interface microinclusion

MMC.
2021;
Volume 8, Number 1
: pp. 69–77
https://doi.org/10.23939/mmc2021.01.069
Received: October 27, 2020
Revised: December 05, 2020
Accepted: December 17, 2020

Mathematical Modeling and Computing, Vol. 8, No. 1, pp. 69–77 (2021)

Authors:
  1. Y. Z. Piskozub
1
Ukrainian Academy of Printing; Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Within the framework of the concept of micromechanics, a method for taking into account the effect of surface energy for a thin interface micro-inclusion in the bimaterial under conditions of longitudinal shear has been proposed. The possibility of non-ideal contact between inclusion and matrix is provided, in particular, tension contact. This significantly extends the scope of applicability of the results. A generalized model of a thin inclusion with arbitrary elastic mechanical properties was built. Based on the application of the theory of functions of a complex variable and the jump function method, the stress field in the vicinity of the inclusion during its interaction with the screw dislocation was calculated. Several effects have been identified that can be used to optimize the energy parameters of the problem.

micro-inhomogeneities
bi-material
surface tension
nonperfect contact
jump functions
dislocation
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