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Nanoscience and Technology: An International Journal
Главный редактор: Sergey A. Lurie (open in a new tab)

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ISSN Печать: 2572-4258

ISSN Онлайн: 2572-4266

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MULTILEVEL METAL MODELS: FORMULATION FOR LARGE DISPLACEMENT GRADIENTS

Том 8, Выпуск 2, 2017, pp. 133-166
DOI: 10.1615/NanoSciTechnolIntJ.v8.i2.40
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Краткое описание

Multilevel models of materials are the instrument allowing one to take into consideration micro- and nanomechanics in the description of technological processes at a macroscale level. The advantage of such models is an explicit description of physical mechanisms, evolution of material structure, and physical and mechanical properties in inelastic deformation. This allows one to apply models to improve the existing technologies of mechanical treatment (including the ones for submicrocrystalline and nanocrystalline materials) and develop some new ones. Corresponding boundary-value problems should be considered for the general case of large displacement gradients, the main problem is the formulation of the kinematic and constitutive relations. A widely recognized approach, based on the use of objective stress corotational rate, is briefly analyzed in the paper. A multiplicative representation of the deformation gradient with explicitly separated motion of the moving coordinate system at the mesolevel is proposed. The linear elastic law is satisfied in the moving coordinate system (just as within formulations with corotational derivatives). The moving coordinate system is associated with the elements of crystallite symmetry (crystallographic direction and plane). The constitutive elastoviscoplastic relations in the finite and rate forms, equivalent to each other are formulated in terms of the unloaded configuration. There is no hysteresis of stresses and no energy dissipation along closed elastic cycles. The approximate relations in the current configuration are represented in the rate form. They can be used in the description of the technological treatment of metals.

ЦИТИРОВАНО В
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