Geodesic
Shock waves in elastoplastic media with the structure defined by the stress relaxation process
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 178-194

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We study nonlinear waves in a Maxwell medium in which residual strains and hardening occur. The properties of the medium are defined so that for slow processes with characteristic times much greater than the stress relaxation time, the medium behaves as an elastoplastic medium. We analyze continuous travelling waves in the form of smoothed steps regarded as discontinuity structures in an elastoplastic medium and demonstrate the dependence of relations at discontinuities on the definition of the stress relaxation process in the discontinuity structure. 
@article{TM_2015_289_a9,
     author = {A. G. Kulikovskii and A. P. Chugainova},
     title = {Shock waves in elastoplastic media with the structure defined by the stress relaxation process},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {178--194},
     publisher = {mathdoc},
     volume = {289},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_289_a9/}
}
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A. G. Kulikovskii; A. P. Chugainova. Shock waves in elastoplastic media with the structure defined by the stress relaxation process. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 178-194. http://geodesic.mathdoc.fr/item/TM_2015_289_a9/