Modeling Of Dislocation Grain Boundary Interactions In Gradient Crystal Plasticity Theories
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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.
Fiber Orientation Tensors and Mean Field Homogenization: Application to Sheet Molding Compound
Author: Bauer, Julian Karl
language: en
Publisher: KIT Scientific Publishing
Release Date: 2023-02-27
Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented.
A computational multi-scale approach for brittle materials
Author: Ernesti, Felix
language: en
Publisher: KIT Scientific Publishing
Release Date: 2023-04-17
Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.