Strain rate intensity factor in compression of a plastic layer on a rigid mandrel
UDC
539.374Abstract
Some components of the strain rate tensor and consequently the quadratic invariant of the strain rate tensor approach infinity in the vicinity of maximum friction surfaces in solutions for several rigid plastic material models. The coefficient of the leading singular term in a series expansion of the quadratic invariant of the strain tensor in the vicinity of maximum friction surfaces is named the strain rate intensity factor. This coefficient enters several evolution equations that describe the change in material properties in a narrow layer in the vicinity of surfaces with high friction stresses. Therefore, solutions that allow one to determine the effect of process parameters on the magnitude of the strain rate intensity factor are of interest. In the present paper, an analytic relationship between the strain rate intensity factor and parameters of the process consisting of contraction of a plastic layer on a rigid rod is found. It is assumed that the maximum friction law acts over the contact surface between the plastic layer and the rod. The material of the plastic layer rigid perfectly plastic and obeys the von Mises yield criterion and its associated flow rule.
Keywords:
surface of maximum friction, strain rate intensity factor, ideal rigid-plastic body, analytical solutionAcknowledgement
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Copyright (c) 2014 Kalenova N.V., Novozhilova O.V., Sadyrin E.V., Aizikovich S.M.
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