By N. Cristescu
This publication provides a self-contained and accomplished examine the sector of dynamic plasticity for researchers and graduates in mechanical engineering. Drawing at the author's lengthy profession within the box, the booklet enormously extends fabric from the 1967 unique version with the addition of unpolluted examine chapters in addition to an entire advent to the uncomplicated conception of plasticity.
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Extra resources for Dynamic Plasticity
1) is written in the form tf = ^ m (x) + 6 - 6 m ( x ) . 15) The initial conditions are t = 0, x > 0: σ = - 1 , ε = - 1 , υ = 0. 02 but At = (cxjc0)Ax. The computations are very simple. The only difficulty is that which arises during the transition between the loading domain and the unloading one, ιι, §5] THE LOADING/UNLOADING BOUNDARY 47 since this involves changing the network of characteristic lines along which the integration is performed during the computation itself. The loops of the two networks are regular, except for those which lie on the loading/ unloading boundary.
Kl = 0 and k2 Φ 0 (fig. 3a) or if kl is finite while k2 is infinite (fig. 3b), then 6* = c0 and the loading/unloading boundary propagates with an initial velocity equal to that of the elastic waves. If /rx ^ 0 and k2 = 0 (fig. 4a) or if k2 is finite while k^ is infinite (fig. 4b), then 6* = c1 and initially the loading/unloading boundary propagates with the velocity of the plastic loading wave corresponding to the maximum stress. e. 5) cannot be applied. In this case in the calculation of the stress one should also take into account the higher order derivatives.
50 [H, § 6 LONGITUDINAL STRESS WAVES IN THIN RODS It appears that in the example considered by Biderman the plastically deformed region shown in fig. 11, was extended because the computation of xs indicated that it should be larger. It should be noted that the curves in fig. 11 were obtained using a small number of points, their position being obtained approximately by graphical methods, while the curves in figs. 18 were obtained by numerically computing the positions of a large number of points (in the present example 83 points).
Dynamic Plasticity by N. Cristescu