Microstructural Modeling And Computational Homogenization Of The Physically Linear And Nonlinear Constitutive Behavior Of Micro Heterogeneous Materials

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Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro-heterogeneous Materials

Author: Felix Fritzen
language: en
Publisher: KIT Scientific Publishing
Release Date: 2014-08-22
Engineering materials show a pronounced heterogeneity on a smaller scale that influences the macroscopic constitutive behavior. Algorithms for the periodic discretization of microstructures are presented. These are used within the Nonuniform Transformation Field Analysis (NTFA) which is an order reduction based nonlinear homogenization method with micro-mechanical background. Theoretical and numerical aspects of the method are discussed and its computational efficiency is validated.
Two-Scale Thermomechanical Simulation of Hot Stamping

Author: Neumann, Rudolf
language: en
Publisher: KIT Scientific Publishing
Release Date: 2017-10-27
Hot stamping is a hot drawing process which takes advantage of the polymorphic steel behavior to produce parts with a good strength-to-weight ratio. For the simulation of the hot stamping process, a nonlinear two-scale thermomechanical model is suggested and implemented into the FE tool ABAQUS. Phase transformation and transformation induced plasticity effects are taken into account. The simulation results regarding the final shape and residual stresses are compared to experimental findings.
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.