Geodesic
A self-similar wave problem in a~Prandtl--Reuss elastoplastic medium
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mechanics, Tome 295 (2016), pp. 195-205

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We consider a self-similar piston problem in which stresses on the boundary of a half-space are changed instantaneously. The half-space is filled with a Prandtl–Reuss medium in a uniform stressed state. It is assumed that the formation of shock waves is possible in the medium. We prove the existence of a solution to the problem in the cases when two or all three stress components are changed at the initial moment. 
@article{TM_2016_295_a10,
     author = {A. G. Kulikovskii and A. P. Chugainova},
     title = {A self-similar wave problem in {a~Prandtl--Reuss} elastoplastic medium},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {195--205},
     publisher = {mathdoc},
     volume = {295},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_295_a10/}
}
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A. G. Kulikovskii; A. P. Chugainova. A self-similar wave problem in a~Prandtl--Reuss elastoplastic medium. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mechanics, Tome 295 (2016), pp. 195-205. http://geodesic.mathdoc.fr/item/TM_2016_295_a10/