Geodesic
Analysis of spatial stress and velocity fields in plastic flow processes
Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 325-335

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The method of analysis of spatial fields of stresses and velocities in pro-cesses of plastic flow is given, based on mapping of flow zones in deviator space of stresses. A generalized Mises flow function corresponding to numer-ous experimental data is taken as the loading surface. It is shown that the generalized Mises model is convenient for analysis of spatial deformation processes with the power of a special depicting parametric space. The numer-ical implementation of the method is illustrated by the example of plastic compression of a material under three-dimensional deformation conditions. It is shown that the distribution of stresses and flow rates depends on the current ratio of layer sizes during settling.
Keywords: plasticity, plastic flow, stress, flow rate, deformation, basic equations defining ratios, modeling, plastic compression. 
@article{CHEB_2019_20_2_a24,
     author = {N. D. Tutyshkin and V. Yu. Travin},
     title = {Analysis of spatial stress and velocity fields in plastic flow processes},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a24/}
}
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N. D. Tutyshkin; V. Yu. Travin. Analysis of spatial stress and velocity fields in plastic flow processes. Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 325-335. http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a24/