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
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Author : Felix Fritzen
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-08-22
Microstructural Modeling And Computational Homogenization Of The Physically Linear And Nonlinear Constitutive Behavior Of Micro Heterogeneous Materials written by Felix Fritzen and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Technology & Engineering categories.
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
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Author : Neumann, Rudolf
language : en
Publisher: KIT Scientific Publishing
Release Date : 2017-10-27
Two Scale Thermomechanical Simulation Of Hot Stamping written by Neumann, Rudolf and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-27 with Technology (General) categories.
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
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Author : Katja Jöchen
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-05-13
Homogenization Of The Linear And Non Linear Mechanical Behavior Of Polycrystals written by Katja Jöchen and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-13 with Science categories.
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.
Micromechanical Finite Element Simulations Of Crack Propagation In Silicon Nitride
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Author : Johannes Wippler
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-07-28
Micromechanical Finite Element Simulations Of Crack Propagation In Silicon Nitride written by Johannes Wippler and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-28 with Technology & Engineering categories.
Silicon nitride is used for challening applications like cutting inserts or forming rolls. The extreme strength and toughness of the material is achieved by an interaction between the microstructure and fracture behaviour on the microlevel. In order to understand these mechanisms, detailed unit cells have been defined and used for the determination of the effective fracture properties. The results have been used for the implementation of an effective continuum damage mechanics model.
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
language : en
Publisher: KIT Scientific Publishing
Release Date : 2018-07-09
Homogenization And Materials Design Of Mechanical Properties Of Textured Materials Based On Zeroth First And Second Order Bounds Of Linear Behavior written by Lobos Fernández, Mauricio and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Materials categories.
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.
Fiber Orientation Tensors And Mean Field Homogenization Application To Sheet Molding Compound
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Author : Bauer, Julian Karl
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-02-27
Fiber Orientation Tensors And Mean Field Homogenization Application To Sheet Molding Compound written by Bauer, Julian Karl and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-27 with Technology & Engineering categories.
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.
Microstructure Generation And Micromechanical Modeling Of Sheet Molding Compound Composites
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Author : Görthofer, Johannes
language : en
Publisher: KIT Scientific Publishing
Release Date : 2022-09-13
Microstructure Generation And Micromechanical Modeling Of Sheet Molding Compound Composites written by Görthofer, Johannes and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-13 with Technology & Engineering categories.
Wir präsentieren einen Algorithmus zur schnellen Erzeugung von SMC Mikrostrukturen hoher Güte, durch Verwendung einer exakten Schließung und eines quasi-zufälligen Samplings. Darüber hinaus stellen wir ein modulares Framework zur Modellierung anisotroper Schädigung vor. Unser Konzept der Extraktionstensoren und Schädigungsfunktionen ermöglicht die Beschreibung komplexer Vorgänge. Darüber hinaus schlagen wir einen ganzheitlichen Multiskalenansatz zur Bestimmung anisotroper Versagenskriterien vor. - We introduce an algorithm that allows for a fast generation of SMC composite microstructures. An exact closure approximation and a quasi-random orientation sampling ensure high fidelity. Furthermore, we present a modular framework for anisotropic damage evolution. Our concept of extraction tensors and damage-hardening functions enables the description of complex damage-degradation. In addition, we propose a holistic multiscale approach for constructing anisotropic failure criteria.
A Computational Multi Scale Approach For Brittle Materials
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Author : Ernesti, Felix
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-04-17
A Computational Multi Scale Approach For Brittle Materials written by Ernesti, Felix and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-17 with Technology & Engineering categories.
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.
Microstructure Modeling And Crystal Plasticity Parameter Identification For Predicting The Cyclic Mechanical Behavior Of Polycrystalline Metals
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Author : Kuhn, Jannick
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-04-04
Microstructure Modeling And Crystal Plasticity Parameter Identification For Predicting The Cyclic Mechanical Behavior Of Polycrystalline Metals written by Kuhn, Jannick and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-04 with Technology & Engineering categories.
Computational homogenization permits to capture the influence of the microstructure on the cyclic mechanical behavior of polycrystalline metals. In this work we investigate methods to compute Laguerre tessellations as computational cells of polycrystalline microstructures, propose a new method to assign crystallographic orientations to the Laguerre cells and use Bayesian optimization to find suitable parameters for the underlying micromechanical model from macroscopic experiments.
Efficient Fast Fourier Transform Based Solvers For Computing The Thermomechanical Behavior Of Applied Materials
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Author : Wicht, Daniel
language : en
Publisher: KIT Scientific Publishing
Release Date : 2022-10-11
Efficient Fast Fourier Transform Based Solvers For Computing The Thermomechanical Behavior Of Applied Materials written by Wicht, Daniel and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-11 with Science categories.
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.