A Gradient Crystal Plasticity Theory Based On An Extended Energy Balance
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A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance
Author: Prahs, Andreas
language: en
Publisher: KIT Scientific Publishing
Release Date: 2020-09-15
An overview of different methods for the derivation of extended continuum models is given. A gradient plasticity theory is established in the context of small deformations and single slip by considering the invariance of an extended energy balance with respect to Euclidean transformations, where the plastic slip is considered as an additional degree of freedom. Thermodynamically consistent flow rules at the grain boundary are derived. The theory is applied to a two- and a three-phase laminate.
Modeling of Dislocation - Grain Boundary Interactions in Gradient Crystal Plasticity Theories
Author: Erdle, Hannes
language: en
Publisher: KIT Scientific Publishing
Release Date: 2022-07-12
A physically-based dislocation theory of plasticity is derived within an extended continuum mechanical context. Thermodynamically consistent flow rules at the grain boundaries are derived. With an analytical solution of a three-phase periodic laminate, dislocation pile-up at grain boundaries and dislocation transmission through the grain boundaries are investigated. For the finite element implementations, numerically efficient approaches are introduced based on accumulated field variables.
Microstructure modeling and crystal plasticity parameter identification for predicting the cyclic mechanical behavior of polycrystalline metals
Author: Kuhn, Jannick
language: en
Publisher: KIT Scientific Publishing
Release Date: 2023-04-04
Computational homogenization permits to capture the influence of the microstructure on the cyclic mechanical behavior of polycrystalline metals. In this work we investigate methods to compute Laguerre tessellations as computational cells of polycrystalline microstructures, propose a new method to assign crystallographic orientations to the Laguerre cells and use Bayesian optimization to find suitable parameters for the underlying micromechanical model from macroscopic experiments.