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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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.
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.
Finite Element Simulation Of Dislocation Based Plasticity And Diffusion In Multiphase Materials At High Temperature
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Author : Albiez, Jürgen
language : en
Publisher: KIT Scientific Publishing
Release Date : 2019-05-22
Finite Element Simulation Of Dislocation Based Plasticity And Diffusion In Multiphase Materials At High Temperature written by Albiez, Jürgen 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 2019-05-22 with Technology & Engineering categories.
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.
Deep Material Networks For Efficient Scale Bridging In Thermomechanical Simulations Of Solids
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Author : Gajek, Sebastian
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-08-25
Deep Material Networks For Efficient Scale Bridging In Thermomechanical Simulations Of Solids written by Gajek, Sebastian 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 2023-08-25 with categories.
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 Dynamic And Statistical Analysis Of The Temperature And Fatigue Behavior Of A Race Power Unit The Effect Of Different Thermodynamic States
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Author : Hölz, Peter
language : en
Publisher: KIT Scientific Publishing
Release Date : 2020-07-08
A Dynamic And Statistical Analysis Of The Temperature And Fatigue Behavior Of A Race Power Unit The Effect Of Different Thermodynamic States written by Hölz, Peter 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 2020-07-08 with Technology & Engineering categories.
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.
A Gradient Crystal Plasticity Theory Based On An Extended Energy Balance
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Author : Prahs, Andreas
language : en
Publisher: KIT Scientific Publishing
Release Date : 2020-09-15
A Gradient Crystal Plasticity Theory Based On An Extended Energy Balance written by Prahs, Andreas 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 2020-09-15 with Technology & Engineering categories.
An overview of different methods for the derivation of extended continuum models is given. A gradient plasticity theory is established in the context of small deformations and single slip by considering the invariance of an extended energy balance with respect to Euclidean transformations, where the plastic slip is considered as an additional degree of freedom. Thermodynamically consistent flow rules at the grain boundary are derived. The theory is applied to a two- and a three-phase laminate.
Modeling Martensitic Phase Transformation In Dual Phase Steels Based On A Sharp Interface Theory
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Author : Ruck, Johannes
language : en
Publisher: KIT Scientific Publishing
Release Date : 2021-05-07
Modeling Martensitic Phase Transformation In Dual Phase Steels Based On A Sharp Interface Theory written by Ruck, 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 2021-05-07 with Technology & Engineering categories.
artensite forms under rapid cooling of austenitic grains accompanied by a change of the crystal lattice. Large deformations are induced which lead to plastic dislocations. In this work a transformation model based on the sharp interface theory, set in a finite strain context is developed. Crystal plasticity effects, the kinetic of the singular surface as well as a simple model of the inheritance from austenite dislocations into martensite are accounted for.