Multilevel geometrically nonlinear models of polycrystalline metals and alloys

• Main Authors: Trusov, P. V., Shveykin, A. I., Yants, A. Yu
• Format: Conference Proceeding
• Language: English
• Subjects: Alloy systems; Boundary value problems; Computer simulation; Configurations; Constitutive models; Coordinates; Corotation; Formulations; Mathematical analysis; Mathematical models; Polycrystals; Reconfiguration
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/1.5013902

Geometrically nonlinear constitutive models of polycrystalline metals and alloys are considered. In the multilevel approach, a moving coordinate system, which determines a type of corotation rate at the mesolevel, is associated with the elements of symmetry. Relations in terms of the current configuration in the rate form are described. As was earlier shown, these relations are close to finite form relations in an unloaded lattice configuration using the motion decomposition with an explicit separation of the moving coordinate system motion. The aim of the investigation is to perform numerical experiments to verify this fact. The results of numerical calculations confirm the analytical conclusions about proximity (in the sense of determined response) of these formulations. Therefore, a model in terms of the current configuration in the rate form is perspective for the simulation of technological treatment processes with the achievement of large inelastic strains, thus describing changes in the structure and effective properties; it is convenient for boundary-value problem numerical simulation in a stepwise manner, by using the reconfiguration of the computational domain (including contact surfaces).