Multilevel models of polycrystalline metals and alloys: Formulation of geometrically nonlinear kinematic and constitutive relations

Today, an important problem of solid mechanics is the correct formulation of geometrically nonlinear boundary value problems including the description of nonlinear kinematics and the construction of constitutive relations. A new method of strain gradient multiplicative representation with the explic...

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Bibliographic Details
Main Authors: Trusov, P. V., Shveykin, A. I., Kondratev, N. S., Sharifullina, E. R., Yants, A. Yu
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Computer simulation
Constitutive models
Coordinates
Deformation
Kinematics
Polycrystals
Representations
Solid mechanics
Online Access:Get full text
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Summary:Today, an important problem of solid mechanics is the correct formulation of geometrically nonlinear boundary value problems including the description of nonlinear kinematics and the construction of constitutive relations. A new method of strain gradient multiplicative representation with the explicit determination of the motion of a moving coordinate system (rigid) is described. This coordinate system is associated with the elements of material symmetry. With the given representation, a geometrically nonlinear multilevel constitutive model with internal variables is constructed. Simulation results of deformation for single crystalline and polycrystalline material representative volumes correlate with physical statements and experimental data.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4966520