Definitions
Surfaces of weak and strong discontinuity in elasto-visco-plastic media are the transient waves carrying the jumps in the field parameters on the wave front; in so doing the magnitudes of plastic deformations should be continuous on the surface.
Preliminary Remarks
Propagation and attenuation of weak and strong discontinuities in a viscoelastoplastic medium have been investigated under the Mises yield condition in Bykovtsev and Verveiko (1966), wherein it has been shown that two types of waves could exist in such a medium: irrotational and equivoluminal, their velocities of propagation have been calculated, and relationships describing the variation in wave intensity during propagation have been derived.
In the present entry, the behavior of strong and weak discontinuities in the same sort of a medium under the Tresca yield condition and the maximal reduced stress...
References
Bykovtsev GI, Ivlev DD (1998) Theory of plasticity. Vladivostok, Dal’nauka
Bykovtsev GI, Verveiko ND (1966) Wave propagation in a viscoelastoplastic medium (in Russian). Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela 4:111–123
Rossikhin YA (1969) Wave propagation in a viscoelastoplastic medium. Sov Appl Mech 5(5):512–517. https://doi.org/10.1007/BF00887338
Thomas TY (1961) Plastic flow and fracture in solids. Academic Press, New York/London
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Rossikhin, Y.A., Shitikova, M.V. (2019). Discontinuity Surfaces in Elasto-Visco-Plastic Media. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_105-1
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