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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

On the unloading dynamics in an elastic/viscoplastic material predeformed by viscometric twisting

Autors:
A.A. Burenin , E.A. Gerasimenko , L.V. Kovtanyuk ,
Pages:
068-083
Annotation:

Solving the problem of large elastic-plastic deformation theory, the present paper addresses, involved two stages. We first derive the exact solution to the problem of slow strain growth in a cylindrical layer consisting of an incompressible elastic/viscoplastic material and experiencing viscometric motion subject to no-slip contact between the material and the rigid instrument's walls. Then a striking stick-slip transition at one of the material-instrument interfaces poses the problem of unloading dynamics. Stress jump at the boundary surface causes a shear cylindrical unloading shock wave, which advances into the material and interacts with the elastic-plastic boundary separating viscoplastic flow from reversible deformation region. To solve this dynamic problem the ray method for constructing approximate solutions is adjusted to the case of elastic/viscoplastic material.

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