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Abstract
The problem of a cylindrical flat-ended projectile impinging on a flat rigid anvil has been analyzed by many investigators in order to assess the dynamic stress-strain relation at high strain rates. Though impact speed in the method described above is higher than those of other tests such as Split Hopkinson Bar Method, the temperature rise caused by plastic work cannot be neglect in this method. Such temperature rise creates nonhomogeneity in the loading region and this nonhomogeneity is maintained almost constant in the unloading region.In this paper, the simulation of elasto-plastic waves propagated in a finite bar, which impinged on a flat rigid anvil, with steady temperature gradients was made by a computer. The temperature distribution was assumed to be an exponential function of the axial distance of the bar. A constitutive equation used in the analysis was a rate-dependent type and it was assumed that the static stress was a linear function of absolute temperature. The problem was formulated and solved numerically by the method of characteristics with supplement rectangular net.The numerical results show that the temperature distribution has influence upon stress and strain. Especially, it has considerable influence upon the deformation resistance and unloading wave from the free end.
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