One-dimensional plastic materials with work-hardening

✍ Scribed by T. Tokuoka

• Book ID: 104620197
• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 402 KB
• Volume: 13
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042794

✦ Synopsis

Acceleration waves in one-dimensional plastic materials are investigated by the theory of singular points. The unloading wave propagates with a constant velocity, while the propagation velocity of the loading wave is less than that of the unloading wave and the velocity depends upon the stress and the work-hardening. The growth and decay of the amplitude of the waves are also analyzed. The unloading wave propagates with a constant amplitude. The amplitude of the loading wave may grow or decay and the choice between the two depends upon the stress, the work-hardening and whether the wave is compressive or expansive, In the case of growth the amplitude tends to infinity in finite time, that is, the blow time, and the acceleration wave coalesces into a shock wave. In the case of decay the amplitude tends to zero as the time tends to infinity. The propagation velocity, the blow time and the blow distance are calculated and plotted against the strain.