Computational Homogenization Of Heterogeneous Materials With Finite Elements
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Author | : Julien Yvonnet |
Publisher | : Springer |
Total Pages | : 223 |
Release | : 2019-06-11 |
Genre | : Computers |
ISBN | : 3030183831 |
Download Computational Homogenization of Heterogeneous Materials with Finite Elements Book in PDF, Epub and Kindle
This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.
Author | : Felix Fritzen |
Publisher | : KIT Scientific Publishing |
Total Pages | : 190 |
Release | : 2014-08-22 |
Genre | : Technology & Engineering |
ISBN | : 3866446993 |
Download Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro-heterogeneous Materials Book in PDF, Epub and Kindle
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.
Author | : Peter Gumbsch |
Publisher | : Springer Science & Business Media |
Total Pages | : 401 |
Release | : 2011-01-30 |
Genre | : Technology & Engineering |
ISBN | : 3709102839 |
Download Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics Book in PDF, Epub and Kindle
The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.
Author | : Yves Rémond |
Publisher | : John Wiley & Sons |
Total Pages | : 212 |
Release | : 2016-06-14 |
Genre | : Technology & Engineering |
ISBN | : 1119307570 |
Download Applied RVE Reconstruction and Homogenization of Heterogeneous Materials Book in PDF, Epub and Kindle
Applied RVE Reconstruction and Homogenization of Heterogeneous Materials Statistical correlation functions are a well-known class of statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in nanocomposite materials. Correlation functions are measured from different techniques such as microscopy (SEM or TEM), small angle X-ray scattering (SAXS) and can be generated through Monte Carlo simulations. In this book, different experimental techniques such as SAXS and image processing are presented, which are used to measure two-point correlation function correlation for multi-phase polymer composites. Higher order correlation functions must be calculated or measured to increase the precision of the statistical continuum approach. To achieve this aim, a new approximation methodology is utilized to obtain N-point correlation functions for multiphase heterogeneous materials. The two-point functions measured by different techniques have been exploited to reconstruct the microstructure of heterogeneous media. Statistical continuum theory is used to predict the effective thermal conductivity and elastic modulus of polymer composites. N-point probability functions as statistical descriptors of inclusions have been exploited to solve strong contrast homogenization for effective thermal conductivity and elastic modulus properties of heterogeneous materials. Finally, reconstructed microstructure is used to calculate effective properties and damage modeling of heterogeneous materials.
Author | : Franz Roters |
Publisher | : John Wiley & Sons |
Total Pages | : 188 |
Release | : 2011-08-04 |
Genre | : Technology & Engineering |
ISBN | : 3527642099 |
Download Crystal Plasticity Finite Element Methods Book in PDF, Epub and Kindle
Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Author | : Arturo Jose Carneiro Molina |
Publisher | : |
Total Pages | : |
Release | : 2007 |
Genre | : Elasticity |
ISBN | : |
Download Computational Homogenization for Multi Scale Finite Element Simulation Book in PDF, Epub and Kindle
Author | : Jörg Schröder |
Publisher | : Springer Science & Business Media |
Total Pages | : 417 |
Release | : 2013-09-20 |
Genre | : Science |
ISBN | : 3709116252 |
Download Plasticity and Beyond Book in PDF, Epub and Kindle
The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.
Author | : Tarek I. Zohdi |
Publisher | : Springer Science & Business Media |
Total Pages | : 199 |
Release | : 2008-03-15 |
Genre | : Science |
ISBN | : 3540323600 |
Download An Introduction to Computational Micromechanics Book in PDF, Epub and Kindle
In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.
Author | : Mark Kachanov |
Publisher | : Springer Science & Business Media |
Total Pages | : 393 |
Release | : 2013-01-21 |
Genre | : Science |
ISBN | : 9400757158 |
Download Effective Properties of Heterogeneous Materials Book in PDF, Epub and Kindle
The book contains state-of the-art reviews in the area of effective properties of heterogeneous materials - the classical field at interface of materials science and solid mechanics. The primary focus is on thermo-mechanical properties, materials science applications, as well as computational aspects and new opportunities provided by rapidly increasing computer powers. The reviews are at the level that is appropriate for a substantial community of researchers working in this field, both at universities and in the industry, and to graduate students. The book can be used as supplementary reading to graduate level courses.
Author | : Arturo Jose Carneiro Molina |
Publisher | : |
Total Pages | : |
Release | : 2003 |
Genre | : Elasticity |
ISBN | : |
Download Study on Computational Homogenization for Multi Scale Finite Element Simulation Book in PDF, Epub and Kindle