Abstract
In this paper, we study the effect of elastic constraint on the deformation of a dilatant material when an irreversible shear causes a change in volume. Two cases are considered: the constraint is caused by elastic ties external to the body and by an elastic core in the dilatant material itself. The first case is considered within the framework of a model problem, whereas the second case is considered by the problem of torsion of a round bar where the outer plastically deformable layers are compressed by the inner elastic core. The Drucker–Prager criterion is used as a yield criterion in the torsion problem.
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Funding
The work is supported by the Russian Foundation for Basic Research, project no. 20-01-00356, and by the Research and Educational School on Fundamental and Applied Studies of Space of the Lomonosov Moscow State University.
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Sakharov, A.N., Izimov, R.M. Torsion of a Circular Solid Cylinder Made of Dilatant Material. Moscow Univ. Mech. Bull. 77, 99–109 (2022). https://doi.org/10.3103/S0027133022040057
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DOI: https://doi.org/10.3103/S0027133022040057