Abstract
Transient time dependent stress and strain distribution are obtained for a half-plane made of 4340 steel. A traction load is applied dynamically at a global strain rate of 5·10 2 s −1. Unlike the classical theory of incremental plasticity, that assumes the same constitutive relation for all elements, the surface/volume energy density theory derives the uniaxial constitutive equation for each element individually according to the local strain rate and strain rate history. Meterial elements are shown to undergo cooling and heating as a result of thermal/mechanical interaction. The equivalent uniaxial response for the traction boundary condition therefore differed from that of the displacement boundary condition considered in Part 1 [1] of this communication. Effective stress and effective strain variations for the local elements next to the applied load exhibited considerable softening after hardening while the plasticity solution increased monotonically. These differences are attributed to the neglect of dilatational and change in local strain rate effects in plasticity in addition to assuming that unloading is parallel to the load path. Damage of the material elements is also discussed in connection with the surface and volume energy density when they reach their respective critical values.
Published Version
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