Geodesic
Numerical modeling of the boundary layer in elastoviscoplastic solids
Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 93-96

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Classical model of elastoplastic flow is inconsistent for boundary problems – solution does not exist, when tangential component of loading (stress or velocity) is larger then yield stress. The elastoviscoplastic model generalize elastoplastic model and is the simplest model for which this boundary problem has the solution. In this paper the skew impact of the semispace is considered. The elastoviscoplastic flow theory with yield condition depended on first and second invariants of stress tensor is considered. The theory allows to describe damage of metals, porouse and granular materials, soils, ceramics etc. For the velocity, which exceeds the critical value the boundary effect is appeared, the plastic strain localization occurs. It is shown that presence of the first invariant qualitatively changes the character of boundary layer and strain localization effect. 
@article{MM_2004_16_6_a21,
     author = {V. N. Kukudzhanov and A. L. Levitin},
     title = {Numerical modeling of the boundary layer in elastoviscoplastic solids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {93--96},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_6_a21/}
}
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V. N. Kukudzhanov; A. L. Levitin. Numerical modeling of the boundary layer in elastoviscoplastic solids. Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 93-96. http://geodesic.mathdoc.fr/item/MM_2004_16_6_a21/