Fiber Orientation Tensors and Mean Field Homogenization: Application to Sheet Molding Compound
Fiber Orientation Tensors and Mean Field Homogenization: Application to Sheet Molding Compound

Author: Bauer, Julian Karl

Publisher: KIT Scientific Publishing

Published: 2023-02-27

Total Pages: 252

ISBN-13: 3731512629

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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.

Thermomechanical Mean-Field Modeling and Experimental Characterization of Long Fiber-Reinforced Sheet Molding Compound Composites
Thermomechanical Mean-Field Modeling and Experimental Characterization of Long Fiber-Reinforced Sheet Molding Compound Composites

Author: Kehrer, Maria Loredana

Publisher: KIT Scientific Publishing

Published: 2019-06-13

Total Pages: 204

ISBN-13: 3731509245

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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.

Biaxial Characterization and Mean-field Based Damage Modeling of Sheet Molding Compound Composites
Biaxial Characterization and Mean-field Based Damage Modeling of Sheet Molding Compound Composites

Author: Schemmann, Malte

Publisher: KIT Scientific Publishing

Published: 2018-11-09

Total Pages: 194

ISBN-13: 3731508184

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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.

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

Author: Gajek, Sebastian

Publisher: KIT Scientific Publishing

Published: 2023-08-25

Total Pages: 326

ISBN-13: 3731512785

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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
A computational multi-scale approach for brittle materials

Author: Ernesti, Felix

Publisher: KIT Scientific Publishing

Published: 2023-04-17

Total Pages: 264

ISBN-13: 3731512858

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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
Microstructure modeling and crystal plasticity parameter identification for predicting the cyclic mechanical behavior of polycrystalline metals

Author: Kuhn, Jannick

Publisher: KIT Scientific Publishing

Published: 2023-04-04

Total Pages: 224

ISBN-13: 3731512726

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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.

Microstructure generation and micromechanical modeling of sheet molding compound composites
Microstructure generation and micromechanical modeling of sheet molding compound composites

Author: Görthofer, Johannes

Publisher: KIT Scientific Publishing

Published: 2022-09-13

Total Pages: 258

ISBN-13: 373151205X

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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.

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites
Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites

Author: Lang, Juliane

Publisher: KIT Scientific Publishing

Published: 2023-06-28

Total Pages: 250

ISBN-13: 3731512327

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The aim of this work is to model and experimentally characterize the anisotropic material behavior of SMC composites on the macroscale with consideration of the microstructure. Temperature-dependent thermoelastic behavior and failure behavior are modeled and the corresponding material properties are determined experimentally. Additionally, experimental biaxial damage investigations are performed. A parameter identification merges modeling and experiments and validates the models.

Mechanics Modeling of Sheet Metal Forming
Mechanics Modeling of Sheet Metal Forming

Author: Jwo Pan

Publisher: SAE International

Published: 2007-04-10

Total Pages: 190

ISBN-13: 0768008964

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Functioning as an introduction to modern mechanics principles and various applications that deal with the science, mathematics and technical aspects of sheet metal forming, Mechanics Modeling of Sheet Metal Forming details theoretically sound formulations based on principles of continuum mechanics for finite or large deformation, which can then be implemented into simulation codes. The forming processes of complex panels by computer codes, in addition to extensive practical examples, are recreated throughout the many chapters of this book in order to benefit practicing engineers by helping them better understand the output of simulation software.

Continuum Micromechanics
Continuum Micromechanics

Author: P. Suquet

Publisher: Springer

Published: 2014-05-04

Total Pages: 352

ISBN-13: 3709126622

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This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical damage models, dynamics of composites, pattern based variational bounds.