Deep Material Networks For Efficient Scale Bridging In Thermomechanical Simulations Of Solids

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Deep material networks for efficient scale-bridging in thermomechanical simulations of solids

Author: Gajek, Sebastian
language: en
Publisher: KIT Scientific Publishing
Release Date: 2023-08-25
We investigate deep material networks (DMN). We lay the mathematical foundation of DMNs and present a novel DMN formulation, which is characterized by a reduced number of degrees of freedom. We present a efficient solution technique for nonlinear DMNs to accelerate complex two-scale simulations with minimal computational effort. A new interpolation technique is presented enabling the consideration of fluctuating microstructure characteristics in macroscopic simulations.
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.
On multi-scale modeling of fatigue in short glass fiber reinforced thermoplastics

Author: Hessman, Patrick Arthur
language: en
Publisher: KIT Scientific Publishing
Release Date: 2025-03-31
This work covers the topic of micromechanical modeling of the elastic and fatigue behavior of short glass fiber reinforced thermoplastic composites (SFRTs). A novel algorithm extracts microstructural data from x-ray micro-computed tomography scans. Analytical homogenization schemes are studied and used to predict elastic properties, while a high cycle fatigue model using the Two-Step scheme incorporates damage variables for fibers and matrix, predicting fatigue limits.