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Longitudinal shear of a bi-material with frictional sliding contact in the interfacial crack

Sulym H., Pasternak I., Piskozub L., Piskozub Y.

Journal of Theoretical and Applied Mechanics

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2016

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Vol. 54 nr 2

529--539

EN

We construct an analytical solution to the anti-plane problem of an inhomogeneous bi- -material medium with the interfacial crack considering sliding friction. The medium is exposed to an arbitrary normal and shear loading in the longitudinal direction. Using the jump function method, the problem is reduced to a solution to singular integral equations for the jumps of displacements and stresses in the areas with sliding friction. Explicit expressions for displacements, stress intensity factors and energy dissipation are obtained. Critical load values for determination of the onset of slippage are investigated. The effect of friction and loading parameters on the size of the slip zone, stress intensity factors and energy dissipation is numerically analyzed.

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Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction 2. Repeating and cyclic loading

Sulym H., Piskozub L., Piskozub Y., Pasternak I.

Acta Mechanica et Automatica

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2015

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Vol. 9, no. 3

178--184

EN

The paper presents the exact solution of the antiplane problem for an inhomogeneous bimaterial with the interface crack exposed to the normal load and cyclic loading by a concentrated force in the longitudinal direction. Using discontinuity function method the problem is reduced to the solution of singular integral equations for the displacement and stress discontinuities at the domains with sliding friction. The paper provides the analysis of the effect of friction and loading parameters on the size of these zones. Hysteretic behaviour of the stress and displacement discontinuities in these domains is observed.

3

Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction. [P.] 1, Single loading

Sulym H., Piskozub L., Piskozub Y., Pasternak I.

Acta Mechanica et Automatica

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2015

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Vol. 9, no. 2

115--121

EN

The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which faces can move relatively to each other with dry friction. The medium is subjected to the action of normal and arbitrary single loading in a longitudinal direction. Based on the discontinuity function method the problem is reduced to the solution of the system of singular integral-differential equations for stress and displacement discontinuities at the possible slippage zones. Influence of loading parameters and the effects of friction on the sizes of these zones is analyzed. The stress intensity factors, stress and displacement discontinuities, energy dissipation are determined for several characteristic types of external loading.