Conclusions
Many problems of the theory of elasticity with the mixed boundary conditions are characterized by the occurrence of singularities at the boundary of the change of the type of boundary conditions. The nature of these singularities depends on a number of parameters. The use of solutions of these problems in the fracture mechanics causes difficulties if traditional fracture criteria are employed. In [9] a zone of slipping was introduced in solving contact problems, and in [2, 16] this zone was introduced in problems of the crack at the interphase boundary of dissimilar media. This made it possible to eliminate the oscillating singularities. A singularity dependent on the friction coefficient resulted in these problems [9, 16] because dry friction was taken into account. The effect of limiting friction restores the singularity to 1/2, necessary for use of the traditional fracture criteria. In addition to this, a more realistic description of the interaction between the dissimilar materials, taking into account friction and the plastic properties, is of great importance for examining the processes of local fracture in composite materials.
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Translated from Mekhanika Kompozitnykh Materialov, No. 1, pp. 20–25, January–February, 1983.
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Zakharov, V.V., Nikitin, L.V. Effect of friction on the process of separation of dissimilar materials. Mech Compos Mater 19, 15–20 (1983). https://doi.org/10.1007/BF00604020
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DOI: https://doi.org/10.1007/BF00604020