Homogenization Of The Linear And Non Linear Mechanical Behavior Of Polycrystals
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Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals
Author: Katja Jöchen
language: en
Publisher: KIT Scientific Publishing
Release Date: 2014-05-13
This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.
Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals
This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.
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.