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Book Homogenization of the Linear and Non linear Mechanical Behavior of Polycrystals

Download or read book Homogenization of the Linear and Non linear Mechanical Behavior of Polycrystals written by Katja Jöchen and published by KIT Scientific Publishing. This book was released on 2014-05-13 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Homogenization of the Linear and Non linear Mechanical Behavior of Polycrystals

Download or read book Homogenization of the Linear and Non linear Mechanical Behavior of Polycrystals written by and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Nonlinear Homogenization and its Applications to Composites  Polycrystals and Smart Materials

Download or read book Nonlinear Homogenization and its Applications to Composites Polycrystals and Smart Materials written by P. Ponte Castaneda and published by Springer Science & Business Media. This book was released on 2006-02-17 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects. The present volume is meant to fill this gap, at least partially, and deals with recent developments in nonlinear homogenization emphasizing applications of current interest. It contains thirteen key lectures presented at the NATO Advanced Workshop on Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials. The list of thirty one contributed papers is also appended. The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods – both analytical and computational – for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior. All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods.

Book Homogenization and materials design of mechanical properties of textured materials based on zeroth   first  and second order bounds of linear behavior

Download or read book 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 published by KIT Scientific Publishing. This book was released on 2018-07-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Download or read book Microstructure modeling and crystal plasticity parameter identification for predicting the cyclic mechanical behavior of polycrystalline metals written by Kuhn, Jannick and published by KIT Scientific Publishing. This book was released on 2023-04-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Two Scale Thermomechanical Simulation of Hot Stamping

Download or read book Two Scale Thermomechanical Simulation of Hot Stamping written by Neumann, Rudolf and published by KIT Scientific Publishing. This book was released on 2017-10-27 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Micromechanical Modeling and Simulation of Forming Processes

Download or read book Micromechanical Modeling and Simulation of Forming Processes written by Glavas, Vedran and published by KIT Scientific Publishing. This book was released on 2016-12-21 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The deep drawing of an aluminum alloy used in the packaging industry for the beverage can manufacturing process is investigated. In this work, the effective constitutive behavior is based on a crystal plasticity model in combination with a non-linear Hashin-Shtrikman type homogenization scheme in which a reference stiffness controls the stress and strain fluctuations. The simulation results are compared to experiments in terms of deep drawing earing profiles, texture evolution, and localization.

Book Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature

Download or read book Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature written by Albiez, Jürgen and published by KIT Scientific Publishing. This book was released on 2019-05-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

Download or read book A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance written by Prahs, Andreas and published by KIT Scientific Publishing. This book was released on 2020-09-15 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Modeling of Dislocation   Grain Boundary Interactions in Gradient Crystal Plasticity Theories

Download or read book Modeling of Dislocation Grain Boundary Interactions in Gradient Crystal Plasticity Theories written by Erdle, Hannes and published by KIT Scientific Publishing. This book was released on 2022-07-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: A physically-based dislocation theory of plasticity is derived within an extended continuum mechanical context. Thermodynamically consistent flow rules at the grain boundaries are derived. With an analytical solution of a three-phase periodic laminate, dislocation pile-up at grain boundaries and dislocation transmission through the grain boundaries are investigated. For the finite element implementations, numerically efficient approaches are introduced based on accumulated field variables.

Book Microstructure generation and micromechanical modeling of sheet molding compound composites

Download or read book Microstructure generation and micromechanical modeling of sheet molding compound composites written by Görthofer, Johannes and published by KIT Scientific Publishing. This book was released on 2022-09-13 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Modeling martensitic phase transformation in dual phase steels based on a sharp interface theory

Download or read book Modeling martensitic phase transformation in dual phase steels based on a sharp interface theory written by Ruck, Johannes and published by KIT Scientific Publishing. This book was released on 2021-05-07 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Work hardening of dual phase steel

Download or read book Work hardening of dual phase steel written by Rieger, Florian and published by KIT Scientific Publishing. This book was released on 2016-07-01 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dual-phase steels exhibit good mechanical properties due to a microstructure of strong martensitic inclusions embedded in a ductile ferritic matrix. This work presents a two-scale model for the underlying work-hardening effects; such as the distinctly different hardening rates observed for high-strength dual-phase steels. The model is based on geometrically necessary dislocations and comprises the average microstructural morphology as well as a direct interaction between the constituents.

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

Download or read book Biaxial Characterization and Mean field Based Damage Modeling of Sheet Molding Compound Composites written by Schemmann, Malte and published by KIT Scientific Publishing. This book was released on 2018-11-09 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Download or read book Thermomechanical Mean Field Modeling and Experimental Characterization of Long Fiber Reinforced Sheet Molding Compound Composites written by Kehrer, Maria Loredana and published by KIT Scientific Publishing. This book was released on 2019-06-13 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro heterogeneous Materials

Download or read book Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro heterogeneous Materials written by Felix Fritzen and published by KIT Scientific Publishing. This book was released on 2014-08-22 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Micromechanical modeling of short fiber reinforced composites

Download or read book Micromechanical modeling of short fiber reinforced composites written by Mueller, Viktor and published by KIT Scientific Publishing. This book was released on 2016-06-16 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is focused on the prediction of elastic behavior of short-fiber reinforced composites by mean-field homogenization methods, which account for experimentally determined and artificially constructed microstructure data in discrete and averaged form. The predictions are compared with experimental measurements and a full-field voxel-based approach. It is investigated, whether the second-order orientation tensor delivers a sufficient microstructure description for such predictions.