Homogenization And Materials Design Of Mechanical Properties Of Textured Materials Based On Zeroth First And Second Order Bounds Of Linear Behavior
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| Author | : Lobos Fernández, Mauricio |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 224 |
| Release | : 2018-07-09 |
| Genre | : Materials |
| ISBN | : 3731507706 |
This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials.
| Author | : Mauricio Lobos Fernández |
| Publisher | : |
| Total Pages | : 216 |
| Release | : 2020-10-09 |
| Genre | : Technology & Engineering |
| ISBN | : 9781013279126 |
This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
| Author | : Bauer, Julian Karl |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 252 |
| Release | : 2023-02-27 |
| Genre | : Technology & Engineering |
| ISBN | : 3731512629 |
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.
| Author | : Gajek, Sebastian |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 326 |
| Release | : 2023-08-25 |
| Genre | : |
| ISBN | : 3731512785 |
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.
| Author | : Ernesti, Felix |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 264 |
| Release | : 2023-04-17 |
| Genre | : Technology & Engineering |
| ISBN | : 3731512858 |
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.
| Author | : Wicht, Daniel |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 336 |
| Release | : 2022-10-11 |
| Genre | : Science |
| ISBN | : 3731512203 |
The mechanical behavior of many applied materials arises from their microstructure. Thus, to aid the design, development and industrialization of new materials, robust computational homogenization methods are indispensable. The present thesis is devoted to investigating and developing FFT-based micromechanics solvers for efficiently computing the (thermo)mechanical response of nonlinear composite materials with complex microstructures.
| Author | : Kehrer, Maria Loredana |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 204 |
| Release | : 2019-06-13 |
| Genre | : Technology & Engineering |
| ISBN | : 3731509245 |
A discontinuous fiber-reinforced thermoset material produced by the Sheet Molding Compound process is investigated. Due to the process-related fiber orientation distribution, a composite with an anisotropic microstructure is created which crucially affects the mechanical properties. The central objectives are the modeling of the thermoelastic behavior of the composite accounting for the underlying microstructure, and the experimental characterization of the pure resin and the composite material.
| Author | : Albiez, Jürgen |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 222 |
| Release | : 2019-05-22 |
| Genre | : Technology & Engineering |
| ISBN | : 3731509180 |
A single-crystal plasticity model as well as a gradient crystal plasticity model are used to describe the creep behavior of directionally solidi?ed NiAl based eutectic alloys. To consider the transition from theoretical to bulk strength, a hardening model was introduced to describe the strength of the reinforcing phases. Moreover, to account for microstructural changes due to material ?ux, a coupled diffusional-mechanical simulation model was introduced.
| Author | : Schemmann, Malte |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 194 |
| Release | : 2018-11-09 |
| Genre | : Automobile industry and trade |
| ISBN | : 3731508184 |
The focus of this work lies on the microstructure-based modeling and characterization of a discontinuous fiber-reinforced thermoset in the form of sheet molding compound (SMC). A microstructure-based parameter identification scheme for SMC with an inhomogeneous fiber orientation distribution is introduced. Different cruciform specimen designs, including two concepts to reinforce the specimens' arms are evaluated. Additionally, a micromechanical mean-field damage model for the SMC is introduced.
| Author | : Hölz, Peter |
| Publisher | : KIT Scientific Publishing |
| Total Pages | : 294 |
| Release | : 2020-07-08 |
| Genre | : Technology & Engineering |
| ISBN | : 3731509881 |
