Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations
- 29 Downloads
Relations across shock waves propagating through Prandtl–Reuss elastoplastic materials with hardening are investigated in detail. It is assumed that the normal and tangent velocities to the front change across shock waves. In addition to conservation laws, shock waves must satisfy additional relations implied by their structure. The structure of shock waves is studied assuming that the principal dissipative mechanism is determined by stress relaxation, whose rate is bounded. The relations across shock waves are subject to a qualitative analysis, which is illustrated by numerical results obtained for quantities across shocks.
KeywordsPrandtl–Reuss elastoplasticity shock waves stress relaxation
Unable to display preview. Download preview PDF.
- 4.V. M. Sadovskii, Discontinuous Solutions in the Dynamics of Elastoplastic Media (Nauka, Moscow, 1997) [in Russian].Google Scholar
- 5.V. M. Sadovskii, “Elastoplastic waves of strong discontinuity in linearly hardening media,” Mech. Solids 32 (6), 88–94 1997.Google Scholar
- 6.V. M. Sadovskii, “On the theory of shock waves in compressible plastic media,” Mech. Solids 36 (5), 67–74 2001.Google Scholar
- 10.V. N. Kukudzhanov, “Nonlinear waves in elastoplastic media,” Wave Dynamics of Machines, Ed. by K. V. Frolov (Nauka, Moscow, 1991), pp. 126–140.Google Scholar