Dynamic deformation of a thin plastic layer between converging rigid cylinders. (English. Russian original) Zbl 1487.74016
Mosc. Univ. Mech. Bull. 75, No. 4, 87-95 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 29-37 (2020).
Summary: Dynamic solutions of an analogue of the Prandtl problem in the case of a cylindrical layer, including terms with \(\alpha^{-1}\) and \(\alpha^0\), for various configurations of cylinders are obtained and analyzed on the basis of asymptotic analysis with a natural small geometric parameter \(\alpha\) without any static or kinematic hypotheses.
MSC:
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74H10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics |
Keywords:
ideally rigid-plastic body; quasistatic axisymmetric Prandtl problem; compression; yielding; asymptotic expansion; Euler numberReferences:
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