Analytical model for a rigid, linear-hardening plastic tube subjected to impulsive torsional moment. (English) Zbl 1012.74021
Summary: We describe an analytical model of rigid linearly-hardening plastic tube subjected to impulsive torsion at its free end. It is shown that the impulsive torsional moment gives rise to a torsional disturbance of strong discontinuity that propagate at a constant speed, and the plastic deformation is concentrated at the front of disturbances. Two examples illustrate the above process under intense dynamic pure torsional loading conditions.
MSC:
74H10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics |
74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
74J40 | Shocks and related discontinuities in solid mechanics |