Download Dynamic Plasticity by N. Cristescu PDF

By N. Cristescu

This e-book provides a self-contained and complete examine the sphere of dynamic plasticity for researchers and graduates in mechanical engineering. Drawing at the author's lengthy occupation within the box, the e-book significantly extends fabric from the 1967 unique variation with the addition of clean learn chapters in addition to an entire advent to the effortless concept of plasticity.

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If the shape of the loading/unloading boundary is compared with that given ιι, §5] THE LOADING/UNLOADING BOUNDARY 49 by Biderman (fig. 8) it is easy to see that they are very similar, although the boundary conditions were not exactly the same. The small triangle near the point A is a region of constant stress, belonging to the loading/unloading boundary. 5 1 ^ \ ^v \ _ Fig. 16. Stress profiles as obtained using the numerical method. lob* Fig. 17. Maximum stress profile. The variation of the stress at various sections of the rod, both during loading and unloading, have been represented in fig.

4. Each of these waves propagates with a certain velocity c(e), and c± < c{&) < c0. e. the sudden increase of strain at the end of the rod, is transmitted along the rod in the form of centred simple waves, which bring about a smooth variation of the strain at any other section of the rod. This conclusion holds for stress-strain curves of the type represented in fig. e. for curves whose slopes are decreasing continuously. If the stressstrain curve also possesses linear portions, for instance in the elastic range, then all the corresponding wave fronts generated by a sudden impact, will run together.

There is however, a particular case when the shape of this boundary can be known a priori. ιι, §5] THE LOADING/UNLOADING BOUNDARY 31 This is the case of a linear work-hardening material under sudden loading. In this case, there are only two wave fronts (fig. e. x = c0t and x = c1t. The first is the elastic wave front; across this front the strain jumps from zero to ε γ . The second front is the plastic wave front. In the case of instantaneous loading, there is only a single plastic front. On the other hand, Fig.

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