Vector properties of elasto-plastic processes of deformation over plane trajectories of moderate curvature
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 67-73

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Various hypotheses proposed within Ilyushin plasticity theory framework and expressed in terms of ODE and multple integrals are studied. One of the key aspects of this approach is a classification of constitutive equations by the complexity of loading for which a certain relation is suitable. Some relations of markedly different forms are proposed for a group of strain paths with moderate curvatures; this group is the most general kind of stress-strain relations in this classification. In the present paper the connections between those relations are discussed.
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     title = {Vector properties of elasto-plastic processes of deformation over plane trajectories of moderate curvature},
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A. V. Muravlev; M. A. Stepina. Vector properties of elasto-plastic processes of deformation over plane trajectories of moderate curvature. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 67-73. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a9/