Investigation of HCP metal mesolevel model sensitivity to lattice orientation perturbations

The main element of two-level constitutive models of polycrystalline hcp metals is the mesolevel relations. An algorithm for assessing of the mesolevel model response (stress history) sensitivity to the initial crystallite lattice orientation perturbation is developed. We proposed a method for findi...

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Bibliographic Details
Main Authors: Romanov, Kirill A., Shveykin, Alexey I.
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Constitutive models
Coordinates
Crystallites
HCP metals
Laboratories
Mathematical models
Orientation
Perturbation
Stress history
Velocity gradient
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Summary:The main element of two-level constitutive models of polycrystalline hcp metals is the mesolevel relations. An algorithm for assessing of the mesolevel model response (stress history) sensitivity to the initial crystallite lattice orientation perturbation is developed. We proposed a method for finding straight kinematic loading from unstressed configuration (velocity gradient components in a fixed laboratory coordinate system) for crystallite with an arbitrary given initial lattice orientation, when the stress comes to the face of the yield surface almost strictly perpendicularly. The results of numerical calculations showed that for these loadings, model sensitivity to perturbations of given initial orientations is higher than for case when using the same loading (the same velocity gradient components in a fixed laboratory coordinate system) for randomly selected crystallite lattice initial orientation. It confirms the key role of the crystallite yield surface in the constitutive model.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0003386