Geodesic
Modeling of deformation damage of metals in case of plastic compression deformations
Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 331-342

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The performance properties of many precision mechanical engineering products manufactured by plastic deformation methods depend significantly on the structural deformation damage of their material. In this regard, methods of mathematical modeling of the complex physical process of structural damage are essential for calculating and predicting reliable operational characteristics of these products. According to systematic experimental data, the damage of metals in large plastic deformations is mainly associated with the formation, growth and coalescence of pores. To formulate the defining relations and determine the material functions included in them, a geometric model of elementary volume (RVE) with stochastically distributed mesoelements (ME) representing a material shell with sometimes is used. For step-by-step calculation of strain increment tensor components at RVE- and ME- levels, their initial (undeformed) and current (deformed) configurations are determined by the metric tensor. Calculation of damage measures based on experimentation, determination and modeling of material functions of plastic dilatancy and deviator deformation of ME depending on deviator deformation of RVE in plastic compression experiments, is given.
Keywords: structural damageability, mathematical modeling, strain tensor, physical and structural parameters, macro- and mesoelements, determining relationships. 
@article{CHEB_2023_24_5_a25,
     author = {N. D. Tutyshkin},
     title = {Modeling of deformation damage of metals in case of plastic compression deformations},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {331--342},
     publisher = {mathdoc},
     volume = {24},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2023_24_5_a25/}
}
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N. D. Tutyshkin. Modeling of deformation damage of metals in case of plastic compression deformations. Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 331-342. http://geodesic.mathdoc.fr/item/CHEB_2023_24_5_a25/