Abstract
For some models of rigid-plastic bodies, the strain rate fields turn out to be singular near the maximum friction surfaces. In particular, the equivalent strain rate (the second invariant of the strain rate tensor) tends to infinity when approaching such frictions surfaces. The coefficient multiplying the leading singular term in the series expansion of the equivalent strain rate near the maximum friction surfaces is called the strain rate intensity factor. This coefficient occurs in several models predicting the development of intensive plastic deformation layers near friction surfaces and in equations describing the change in the material structure in such layers. In the present paper, the solution is constructed for the compression of a layer of a plastic material obeying the double shear model between cylindrical surfaces on each of which the maximum friction law holds. The dependence of two strain rate intensity factors on the material and process parameters is calculated and analyzed.
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Original Russian Text © S.E. Aleksandrov, E.A. Lyamina, 2013, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2013, No. 6, pp. 43–57.
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Aleksandrov, S.E., Lyamina, E.A. Strain rate intensity factors for a plastic material layer compressed between cylindrical surfaces. Mech. Solids 48, 636–648 (2013). https://doi.org/10.3103/S0025654413060071
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DOI: https://doi.org/10.3103/S0025654413060071