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Boundary value problem finds the analytical solution of plastic flow in a compressed layer between elastic bodies, indicating effective modeling techniques.
As set out by A.A. Ilyushin and I.A. Kiiko, a boundary value problem of plastic flow in a thin layer enclosed between two approaching surfaces of elastically deformable bodies of the tool is formulated. For the case of the Winkler model of an elastic body, a solution to the axisymmetric problem of the compression of a plastic layer in the ring-shaped area is written out in analytical form.
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Kadymov et al. (2026) studied this question.
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