Geodesic
фП thЕ analisis of Б velocities and stress disconuities in ideal granular elastic-plastic medium
Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 242-251.

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With the object of dynamic deformation of granular material description the mathematical model baseol on the hyptesis about additive decomposition of small strain tensor info elastic-granular and plastic parts is used. Elastic properties are desined by the equations of linear theory of elasticity combining with the perception about the Mises-Schleykher limit surface. The plastic constitutive equations are formylated in the frame of the flow theory with the von Mises yield surface. The shock adiabatic curres of longitudinal elastic waves and plastic waves of compression are constructed on the base of such model at different combinations of mechanical parameters. The various admissible plane shock wave configurations arising in insinite solid mass are investigated. 
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O. V. Sadovskaya. фП thЕ analisis of Б velocities and stress disconuities in ideal granular elastic-plastic medium. Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 242-251. http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a6/

[1] L. I. Sedov, Mekhanika sploshnoi sredy, v. II, Nauka, M., 1976, 576 pp. | Zbl

[2] V. M. Sadovskii, “Reologicheskie modeli raznomodulnykh i sypuchikh sred”, Dalnevostochnyi matematicheskii zhurnal, 4:2 (2003), 252–263

[3] G. I. Bykovtsev, D. D. Ivlev, Teoriya plastichnosti, Dalnauka, Vladivostok, 1998, 528 pp.

[4] V. M. Sadovskii, Razryvnye resheniya v zadachakh dinamiki uprugo-plasticheskikh sred, Nauka, M., 1997, 208 pp. | MR