Geodesic
Torsion of a circular solid cylinder made of a dilating material
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 39-48

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In this paper, we study the effect of elastic constraint on the deformation of a dilating 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 dilating 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 plasticity condition in the torsion problem. 
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A. N. Sakharov; R. M. Izimov. Torsion of a circular solid cylinder made of a dilating material. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 39-48. http://geodesic.mathdoc.fr/item/VMUMM_2022_4_a5/