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ISSN Печать: 2572-4258
ISSN Онлайн: 2572-4266
Indexed in
MULTILEVEL METAL MODELS: FORMULATION FOR LARGE DISPLACEMENT GRADIENTS
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.
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Ostapovich K.V., Trusov P.V., Investigation of crystallographic textures in multi-level models for polycrystalline deformation using clustering techniques, Computational Continuum Mechanics, 12, 1, 2019. Crossref
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Trusov P. V., Sharifullina E. R., Shveykin A. I., Multilevel Model for the Description of Plastic and Superplastic Deformation of Polycrystalline Materials, Physical Mesomechanics, 22, 5, 2019. Crossref
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Knyazeva Anna G., Maslov Alexey L., Kryukova Olga N., Thermomechanical stresses in the transition zone of titanium nickelide with a coating from silicon and tantalum, PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ADVANCED MATERIALS WITH HIERARCHICAL STRUCTURE FOR NEW TECHNOLOGIES AND RELIABLE STRUCTURES 2019, 2167, 2019. Crossref
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Trusov Peter V., Makarevich Elena, Podsedertsev Andrej, Kondratev Nikita, To the description of martensitic transformations in polycrystalline alloys: Multilevel models, transformation criteria, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2216, 2020. Crossref
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Romanov Kirill A., Shveykin Alexey I., Investigation of HCP metal mesolevel model sensitivity to lattice orientation perturbations, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2216, 2020. Crossref
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Sharifullina Elvira R., Shveykin Alexey I., Trusov Peter V., Three-level model for description of polycrystal superplastic deformation, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2216, 2020. Crossref
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Yants Anton Yu., Tokarev Artyom A., Direct crystal plasticity model of deformation of a polycrystalline specimen: Influence of grain boundary, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2216, 2020. Crossref
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Shveykin Alexey, Trusov Peter, Sharifullina Elvira, Statistical Crystal Plasticity Model Advanced for Grain Boundary Sliding Description, Crystals, 10, 9, 2020. Crossref
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Tokarev Artyom A., Yants Anton Yu., Shveykin Alexey I., Kondratiev Nikita S., Multi-level direct crystal plasticity model of polycrystalline specimen: Grains generation, 29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2371, 2021. Crossref
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Romanov Kirill A., Shveykin Alexey I., Statistical crystal plasticity model of commercially pure titanium: Validation and estimation of sensitivity to impacts perturbations, 29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2371, 2021. Crossref
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Shveykin A.I., Trusov P.V., Romanov K.A., An approach to numerical estimating the stability of multilevel constitutive models, Computational Continuum Mechanics, 14, 1, 2021. Crossref
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Trusov P. V., Shveykin A. I., Kondratyev N. S., Yants A. Yu., Multilevel Models in Physical Mesomechanics of Metals and Alloys: Results and Prospects, Physical Mesomechanics, 24, 4, 2021. Crossref
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Trusov Peter, Shveykin Alexey, Kondratev Nikita, Some Issues on Crystal Plasticity Models Formulation: Motion Decomposition and Constitutive Law Variants, Crystals, 11, 11, 2021. Crossref
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Shveykin A.I., Trusov P.V., Romanov K.A., Some results of a numerical estimating of the stability of the FCC metal two-level constitutive model, Computational Continuum Mechanics, 14, 2, 2021. Crossref
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Ostanina T V, Shveykin A I, Trusov P V, Makarevich E S, Grain Structure Refinement Description in the Two-Level Statistical Crystal Plasticity Model, IOP Conference Series: Materials Science and Engineering, 581, 1, 2019. Crossref
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Shveykin Alexey, Romanov Kirill, Trusov Peter, Some Issues with Statistical Crystal Plasticity Models: Description of the Effects Triggered in FCC Crystals by Loading with Strain-Path Changes, Materials, 15, 19, 2022. Crossref