Qm. Li, Continuity conditions at bending and shearing interfaces of rigid, perfectly plastic structural elements, INT J SOL S, 37(27), 2000, pp. 3651-3665
Bending and shearing hinges idealised as discontinuity interfaces in rigid,
perfectly plastic analysis are two important ways to consume plastic defor
mation energy in dynamic plastic response of a two-dimensional structural e
lement. The continuity conditions at an interface in a rigid, perfectly pla
stic beam are examined in the present paper when retaining the transverse s
hear force in the yield condition. Various continuity conditions are sugges
ted at stationary and moving bending and shearing interfaces which may occu
r during the early response stage of a rigid, perfectly plastic beam. Both
regular and singular yield surfaces give the same continuity conditions. Th
e effects of rotatory inertia on the continuity conditions are discussed. I
t is shown that transverse shear deformations in a rigid, perfectly plastic
beam are always localized in a stationary shear hinge, which may lead to a
distinct transverse shear, or Mode III, failure. All conclusions for the b
eam are extended to axisymmetrically loaded circular plates and cylindrical
shells. (C) 2000 Elsevier Science Ltd. All rights reserved.