The overturning of Riemann waves in elastoplastic media with hardening. (English. Russian original) Zbl 1432.74042

J. Appl. Math. Mech. 77, No. 4, 350-359 (2013); translation from Prikl. Mat. Mekh. 77, No. 4, 486-500 (2013).
Summary: Riemann waves (simple waves) are investigated within the von Mises elastoplasticity model with hardening. It is assumed that preceding processes have brought the medium into a state corresponding to a certain point on the loading surface. The conditions under which a Riemann wave overturns during its evolution, i.e., the conditions for the formation of discontinuities, are indicated.


74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74J05 Linear waves in solid mechanics
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