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2 Acta Mechanica et Automatica

2 2015

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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

2015

Vol. 9, no. 2

115--121

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.

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

2015

Vol. 9, no. 3

178--184

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.