Dynamic buckling of elastic–plastic square tubes under axial impact—I: stress wave propagation phenomenon

摘要: Abstract The speeds of the stress waves that can propagate in an elastic–plastic medium with isotropic linear strain hardening a plane state are obtained order to analyse influence transient deformation process on initiation buckling square tubes under axial impact. kinematic conditions across surface discontinuity were employed obtain wave propagation for initial condition [ v x ]= V 0 . It is shown plastic depend and direction propagation. material properties have stronger effect speed slow wave, while shear affects both fast waves. magnitude instantaneously applied in-plane load σ xx ] at t =0, which results from impact (n =1, n y =0) , as function velocity when using differential relationships along characteristics. A numerical simulation finite plate by large mass shows predicted theoretical analysis agree zone plate. pattern forms within sustained flow remains unchanged displacements develop. Therefore, it concluded plates subjected plays significant role formation final shape this be analysed estimates state.