The present paper is concerned with steady-state plate tearing by
a cone. This is a scenario where a cone is forced through a
ductile metal plate with a constant lateral tip penetration in a
motion in the plane of the plate. The considered process could be
an idealisaton of the damage, which develops in a ship bottom
raking accident or a collision with a floating object. The
deformation involves a complex mixture of large plastic
deforamtions, fracture and friciton. The observed mode of
deformation is idealised by a simplified, kinematically admissible
deformation mode, and the rate of internal energy dissipation in
plasticity,fracture and friction is quantified accordingly by
analytical expressions. The idealised mode has two free parameters
which are determined from the postulate that they adjust to give
the least rate of energy dissipation. The theory is compared to a
series of measurements. The coefficient of friction was not
measured, so the calculation are presented for different realistic
values and it is shown that for a coefficient of friction of about
0,2, there is a reasonably good agreement between theory and
measurements for the inplane resistance force as well as for the
out-of-plane reaction force.
| Publication status | Published - 1997 |
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