Thomas Böhlke
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View article: Gradient Crystal Plasticity Modeling of Laminate Microstructures
Gradient Crystal Plasticity Modeling of Laminate Microstructures Open
Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar…
View article: On the Influence of the Fiber Curvature on the Stiffness of Long Fiber Reinforced Composites
On the Influence of the Fiber Curvature on the Stiffness of Long Fiber Reinforced Composites Open
The degree of curvature of fiber inclusions in fiber‐reinforced composites impacts the elastic properties of the composite, but numerical studies of this effect are limited by the lack of efficient microstructure generators with fiber curv…
View article: Diffraction Stress Factors Calculated Using a Maximum Entropy Method
Diffraction Stress Factors Calculated Using a Maximum Entropy Method Open
Diffraction-based stress analysis of textured materials depends on understanding their elastic heterogeneity and its influence on microscopic strain distributions, which is generally done by using simplifying assumptions for crystallite in…
View article: Deep Material Networks for Fiber Suspensions With Infinite Material Contrast
Deep Material Networks for Fiber Suspensions With Infinite Material Contrast Open
We extend the laminate based framework of direct deep material networks (DMNs) to treat suspensions of rigid fibers in a non‐Newtonian solvent. To do so, we derive two‐phase homogenization blocks that are capable of treating incompressible…
View article: Determination of Diffraction Elastic Constants Using the Maximum Entropy Method
Determination of Diffraction Elastic Constants Using the Maximum Entropy Method Open
X-ray diffraction methods are an established technique to analyze residual stresses in polycrystalline materials. Using diffraction, lattice plane distances are measured, from which residual stresses can be calculated by using diffraction …
View article: Microstructure generation of long fiber reinforced hybrid composites using the fused sequential addition and migration method
Microstructure generation of long fiber reinforced hybrid composites using the fused sequential addition and migration method Open
We present a fused sequential addition and migration (fSAM) algorithm to generate synthetic microstructures for long fiber reinforced hybrid composites. To incorporate the bending of long fibers, we model the fibers as polygonal chains and…
View article: IDENTIFICATION OF ENERGETIC AND DISSIPATIVE FLOW STRESS USING INFRARED THERMOGRAPHY
IDENTIFICATION OF ENERGETIC AND DISSIPATIVE FLOW STRESS USING INFRARED THERMOGRAPHY Open
Based on own continuum-thermomechanical considerations extending, not only the energy stored and dissipated during plastic deformation of metals can be determined using infrared thermography (IRT), but also the flow stress can be additivel…
View article: Hydrothermal behavior of pure PA 6 and homogenization of discontinuous long carbon fiber‐reinforced PA 6
Hydrothermal behavior of pure PA 6 and homogenization of discontinuous long carbon fiber‐reinforced PA 6 Open
Polymer‐based composites play a crucial role in lightweighting applications by providing resource‐efficient semi‐structural materials. Among these, polyamides, in particular polyamide 6 (PA 6), serve as widely used matrix materials in vari…
View article: Local Field Statistics in Linear Elastic Unidirectional Fibrous Composites
Local Field Statistics in Linear Elastic Unidirectional Fibrous Composites Open
Statistical fluctuations of local tensorial fields beyond the mean are relevant to predict localized failure or overall behavior of the inelastic composites. The expression for second moments of the local fields can be established using th…
View article: Tensorial harmonic bases of arbitrary order with applications in elasticity, elastoviscoplasticity and texture-based modeling
Tensorial harmonic bases of arbitrary order with applications in elasticity, elastoviscoplasticity and texture-based modeling Open
In continuum mechanics, one regularly encounters higher-order tensors that require tensorial bases for theoretical or numerical calculations. By using results from representation theory, we present a method to derive tensorial harmo…
View article: Mathematical thermo‐mechanical analysis on flame‐solid interaction: Steady laminar stagnation flow flame stabilized at a plane wall coupled with thermo‐elasticity model
Mathematical thermo‐mechanical analysis on flame‐solid interaction: Steady laminar stagnation flow flame stabilized at a plane wall coupled with thermo‐elasticity model Open
A laminar stagnation flow flame stabilized at a plane wall is theoretically analyzed, coupled with a thermo‐elasticity model in the wall. Mathematical models for both the flame and the wall will be proposed, and corresponding analytical so…
View article: Second‐order computational homogenization of flexoelectric composites
Second‐order computational homogenization of flexoelectric composites Open
Flexoelectricity shows promising applications for self‐powered devices with its increased power density. This paper presents a second‐order computational homogenization strategy for flexoelectric composite. The macro‐micro scale transition…
View article: Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method
Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method Open
We introduce the fused sequential addition and migration (fSAM) algorithm for generating microstructures of fiber composites with long, flexible, nonoverlapping fibers and industrial volume fractions. The proposed algorithm is based on mod…
View article: Evaluation of a decomposition-based interpolation method for fourth-order fiber-orientation tensors: An eigensystem approach
Evaluation of a decomposition-based interpolation method for fourth-order fiber-orientation tensors: An eigensystem approach Open
We propose and assess a new decomposition-based interpolation method on fourth-order fiber-orientation tensors. This method can be used to change the resolution of discretized fields of fiber-orientation tensors, e.g., obtained from flow s…
View article: Modeling and simulation of chemo-elasto-plastically coupled battery active particles
Modeling and simulation of chemo-elasto-plastically coupled battery active particles Open
As an anode material for lithium-ion batteries, amorphous silicon offers a significantly higher energy density than the graphite anodes currently used. Alloying reactions of lithium and silicon, however, induce large deformation and lead t…
View article: Deep material networks for fiber suspensions with infinite material contrast
Deep material networks for fiber suspensions with infinite material contrast Open
We extend the laminate based framework of direct Deep Material Networks (DMNs) to treat suspensions of rigid fibers in a non-Newtonian solvent. To do so, we derive two-phase homogenization blocks that are capable of treating incompressible…
View article: Phase transformation in the Niobium Hydrogen system: Effects of elasto-plastic deformations on phase stability predicted by a thermodynamic model
Phase transformation in the Niobium Hydrogen system: Effects of elasto-plastic deformations on phase stability predicted by a thermodynamic model Open
Constraint conditions and elasto-plastic deformation alter phase stabilities of metal-hydrogen systems. Experiments on niobium-hydrogen thin films reveal, that elastically deforming films suppress hydride formation at , while elasto-plasti…
View article: Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions
Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions Open
In this article, we combine a Fast Fourier Transform based computational approach and a supervised machine learning strategy to discover models for the anisotropic effective viscosity of shear-thinning fiber suspensions. Using the Fast Fou…
View article: Modeling and FE simulation of coupled water diffusion and viscoelasticity in relaxation tests of polyamide 6
Modeling and FE simulation of coupled water diffusion and viscoelasticity in relaxation tests of polyamide 6 Open
Polyamides can absorb or desorb water from or to their surrounding environment. The impact of this process is significant as water molecules lead locally to a swelling and a coupling of diffusion and deformation behavior. To model these ph…
View article: Phase transformation in the palladium hydrogen system: Effects of boundary conditions on phase stabilities
Phase transformation in the palladium hydrogen system: Effects of boundary conditions on phase stabilities Open
Different elastic constraint conditions affect the phase stabilities of metal-hydrogen systems. This is studied considering the free energy density within a chemo-mechanically coupled approach with linear elastic deformations and homogeneo…
View article: On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases
On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases Open
A key challenge for the virtual characterization of components manufactured using short fiber-reinforced thermoplastics (SFRTs) is the inherent anisotropy which stems from the manufacturing process. To address this, a multi-scale approach …
View article: On the Averaging and Closure of Fiber Orientation Tensors in Virtual Process Chains
On the Averaging and Closure of Fiber Orientation Tensors in Virtual Process Chains Open
Fiber orientation tensors (FOT) are widely used to approximate statistical orientation distributions of fibers within fiber-reinforced polymers. The design process of components made of such fiber-reinforced composites is usually accompani…
View article: Second-order computational homogenization of flexoelectric composites
Second-order computational homogenization of flexoelectric composites Open
Flexoelectricity shows promising applications for self-powered devices with its increased power density. This paper presents a second-order computational homogenization strategy for flexoelectric composite. The macro-micro scale transition…
View article: Modeling and Simulation of Chemo-Elasto-Plastically Coupled Battery Active Particles
Modeling and Simulation of Chemo-Elasto-Plastically Coupled Battery Active Particles Open
As an anode material for lithium-ion batteries, amorphous silicon offers a significantly higher energy density than the graphite anodes currently used. Alloying reactions of lithium and silicon, however, induce large deformation and lead t…
View article: A multiphase-field approach to small strain crystal plasticity accounting for balance equations on singular surfaces
A multiphase-field approach to small strain crystal plasticity accounting for balance equations on singular surfaces Open
An implementation of the crystal plasticity theory in the context of the multiphase-field method provides a numerically efficient tracking of evolving grain boundaries, modeled as diffuse interfaces. In literature, several approaches exist…
View article: Generalized micromechanical formulation of fiber orientation tensor evolution equations
Generalized micromechanical formulation of fiber orientation tensor evolution equations Open
Fiber orientation tensors are widely used to efficiently describe the fiber orientation evolution of anisotropic fiber suspensions during mold-filling. Real viscous fiber suspensions show fiber-induced anisotropic behavior. It is an open q…
View article: Homogenizing the viscosity of shear-thinning fiber suspensions with an FFT-based computational method
Homogenizing the viscosity of shear-thinning fiber suspensions with an FFT-based computational method Open
In this work, we investigate the fiber orientation dependent viscosity of fiber suspensions using a computational homogenization method. To improve computational prediction capabilities for the viscosity of fiber suspensions, we extend an …