Interaction of torsional cracks through a thin flexible layer in an elastic bimaterial with two half-spaces
DOI:
https://doi.org/10.15407/fmmit2026.42.026Keywords:
пружний біматеріал, тонкий прошарок, кругові тріщини скруту, метод граничних інтегральних рівнянь, коефіцієнт інтенсивності напружень.Abstract
A boundary integral formulation is developed to analyze the stress-strain state of an infinite bimaterial containing circular cracks under static torsional loading. A thin flexible layer acts as an interface between the two half-spaces. By applying non-classical contact conditions at the interface, the problem is reduced to a system of 2D boundary integral equations of the Newtonian potential type. These equations are formulated relative to the unknown shear displacement functions on the defect surfaces. By applying non-classical contact conditions at the interface, the problem is reduced to a system of two-dimensional boundary integral equations of the Newtonian potential type. These equations are solved for the unknown shear displacement functions of the defect surfaces.
References
Ben-Romdhane M., El-Borgi S., Charfeddine M. An embedded crack in a functionally graded
orthotropic coating bonded to a homogeneous substrate under a frictional Hertzian contact // International
Journal of Solid and Structures, 2013. ‒ 50. ‒ P. 3898‒3910.
Xiao Sh., Yue Zh., Xiao H. Dual boundary element method for analyzing three-dimensional cracks in
layered and graded half spaces // Engineering Analysis with Boundary Elements, 2019. ‒ 104. ‒ P.
‒147.
Vasylyshyn A., Sulym H., Pasternak I. Thermomagnetoelectroelasticity of bimaterial solids with high
temperature conducting interface and thin internal inhomogeneities // Structural Integrity, 2020. ‒ 16. ‒ P.
–267.
Panasyuk O. N. Influence of interface conditions on wave propagation in composite laminates //
International Applied Mechanics, 2014. ‒ 50. ‒ Р. 399–405.
Pramanik D., Manna S. Love-like wave fields at the interface of sliding contact with non-local elastic
heterogeneous fluid-saturated fractured poro-viscoelastic layer // European Journal of Mechanics / A
Solids, 2024. ‒ 107. ‒ P. 1–19.
Ballard P. Steady sliding frictional contact problem for a 2d elastic half-space with a discontinuous
friction coefficient and related stress singularities // Journal of the Mechanics and Physics of Solids, 2016.
‒ 97. ‒ P. 225–259.
Bartolomeo M. Di., Massib F., Baillet L., Culla F., Fregolent A., Berthier Y. Wave and rupture
propagation at frictional bimaterial sliding interfaces: From local to global dynamics, from stick-slip to
continuous sliding // Tribology International, 2012. ‒ 52. ‒ P. 117–131.
Brener E. A., Weikamp M., Spatschek R., Bar-Sinai Y., Bouchbinder E. Dynamic instabilities of
frictional sliding at a bimaterial interface // Journal of the Mechanics and Physics of Solids, 2016. ‒ 89. ‒
P. 149–173.
Andrade H. C., Trevelyan J., Leonel E. D. Direct evaluation of stress intensity factors and T-stress for
bimaterial interface cracks using the extended isogeometric boundary element method // Theoretical and
Applied Fracture Mechanics, 2023. – 127. – P. 1‒21.
Chai H., Lv J., Bao Y. Numerical solution of hypersingular integral equations for stress intensity
factors of planar embedded interface cracks and their correlations with bimaterial parameters //
International Journal of Solid and Structures, 2020. ‒ 202. ‒ P. 184‒194.
Gu Y., Lin J., Wang F. Fracture mechanics analysis of bimaterial interface cracks using an enriched method of fundamental solutions: theory and MATLAB code // Theoretical and Applied Fracture Mechanics, 2021. – 116. – P. 1‒20.
Golub M.V., Doroshenko O.V., Fomenko S.I. Effective spring boundary conditions for modelling wave propagation through a damaged interface between dissimilar orthotropic media // European Journal of Mechanics – A/Solids, 2025. ‒ 111. ‒ P. 1–29.
Stankevych V. Z., Stankevych O. M. Acoustic emission in elastic bimaterial with crack under different contact conditions of interface plane // International Applied Mechanics, 2024. ‒ 60, № 2. ‒ Р. 203–211.
Zvizlo I. S., Stankevych N. V. Torsion crack in a piecewise homogeneous body with a thin layer at the interface // Materials Science, 2024. ‒ № 60. ‒ P. 232‒239.
Stankevich V. Z. Computation of certain double integrals those are characteristic of dynamic problems of the theory of cracks in a semi-infinite body // Journal of Mathematical Sciences, 1996. ‒ 81, № 6. ‒ P. 3048–3052.
Kassir M. K., Sih G.C. Three-dimensional crack problems. Leyden: Noordhoff Int. Publ. 1975. 506 p
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Copyright (c) 2026 Іван Звізло, Назар Станкевич (Автор)
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