Multiscale Modeling Of Heterogenous Materials

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Multiscale Modeling Of Heterogeneous Structures

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Author : Jurica Sorić
language : en
Publisher: Springer
Release Date : 2017-11-30

Multiscale Modeling Of Heterogeneous Structures written by Jurica Sorić and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-30 with Science categories.

This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures. The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.

Multiscale Modeling In Solid Mechanics

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Author : Ugo Galvanetto
language : en
Publisher: World Scientific
Release Date : 2010

Multiscale Modeling In Solid Mechanics written by Ugo Galvanetto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.

This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques. The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear homogenization as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed.

Multiscale Modeling Of Complex Materials

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Author : Tomasz Sadowski
language : en
Publisher: Springer
Release Date : 2014-10-14

Multiscale Modeling Of Complex Materials written by Tomasz Sadowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Science categories.

The papers in this volume deal with materials science, theoretical mechanics and experimental and computational techniques at multiple scales, providing a sound base and a framework for many applications which are hitherto treated in a phenomenological sense. The basic principles are formulated of multiscale modeling strategies towards modern complex multiphase materials subjected to various types of mechanical, thermal loadings and environmental effects. The focus is on problems where mechanics is highly coupled with other concurrent physical phenomena. Attention is also focused on the historical origins of multiscale modeling and foundations of continuum mechanics currently adopted to model non-classical continua with substructure, for which internal length scales play a crucial role.

Multiscale Modeling Of Heterogeneous Materials

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Author : Rui Xu
language : en
Publisher:
Release Date : 2020

Multiscale Modeling Of Heterogeneous Materials written by Rui Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

The main aim of this thesis is to develop advanced and efficient multiscale modeling and simulation techniques for Shape Memory Alloys (SMAs) composite and architected materials. Towards this end, a 3D generic multiscale model for architected SMAs is implemented in ABAQUS, where a thermodynamic model, proposed by Chemisky et al. [1], is adopted to describe the local constitutive behavior of the SMA, and the multiscale finite element method (FE2) to realize the real-time interaction between the microscopic and macroscopic levels. Microscopic fiber instability is also efficiently investigated in this framework by introducing the Asymptotic Numerical Method (ANM) and the Technique of Slowly Variable Fourier Coefficients (TSVFC). To improve the computational efficiency of the concurrent mulitscale approach, in which tremendous microscopic problems are solved online to update macroscopic stress, data-driven multiscale computing methods are proposed for composite structures. Decoupling the correlated scales in concurrent FE2 framework, microscopic problems are solved offline, while the online macroscopic computational cost is significantly reduced. Further, by formulating the data-driven scheme in generalized stress and strain, Structural-Genome-Driven computing is developed for thin-walled composite structures.

Multiscale Modeling And Uncertainty Quantification Of Materials And Structures

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Author : Manolis Papadrakakis
language : en
Publisher: Springer
Release Date : 2014-07-02

Multiscale Modeling And Uncertainty Quantification Of Materials And Structures written by Manolis Papadrakakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-02 with Science categories.

This book contains the proceedings of the IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures that was held at Santorini, Greece, September 9 – 11, 2013. It consists of 20 chapters which are divided in five thematic topics: Damage and fracture, homogenization, inverse problems–identification, multiscale stochastic mechanics and stochastic dynamics. Over the last few years, the intense research activity at micro scale and nano scale reflected the need to account for disparate levels of uncertainty from various sources and across scales. As even over-refined deterministic approaches are not able to account for this issue, an efficient blending of stochastic and multiscale methodologies is required to provide a rational framework for the analysis and design of materials and structures. The purpose of this IUTAM Symposium was to promote achievements in uncertainty quantification combined with multiscale modeling and to encourage research and development in this growing field with the aim of improving the safety and reliability of engineered materials and structures. Special emphasis was placed on multiscale material modeling and simulation as well as on the multiscale analysis and uncertainty quantification of fracture mechanics of heterogeneous media. The homogenization of two-phase random media was also thoroughly examined in several presentations. Various topics of multiscale stochastic mechanics, such as identification of material models, scale coupling, modeling of random microstructures, analysis of CNT-reinforced composites and stochastic finite elements, have been analyzed and discussed. A large number of papers were finally devoted to innovative methods in stochastic dynamics.

Heterogeneous Materials

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Author : Muhammad Sahimi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-31

Heterogeneous Materials written by Muhammad Sahimi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-31 with Mathematics categories.

Disorder plays a fundamental role in many natural and man-made systems that are of industrial and scienti?c importance. Of all the disordered systems, hete- geneous materials are perhaps the most heavily utilized in all aspects of our daily lives, and hence have been studied for a long time. With the advent of new - perimental techniques, it is now possible to study the morphology of disordered materials and gain a much deeper understanding of their properties. Novel te- niqueshavealsoallowedustodesignmaterialsofmorphologieswiththeproperties that are suitable for intended applications. With the development of a class of powerful theoretical methods, we now have the ability for interpreting the experimental data and predicting many properties of disordered materials at many length scales. Included in this class are ren- malization group theory, various versions of effective-medium approximation, percolation theory, variational principles that lead to rigorous bounds to the - fective properties, and Green function formulations and perturbation expansions. Thetheoreticaldevelopmentshavebeenaccompaniedbyatremendousincreasein the computational power and the emergence of massively parallel computational strategies. Hence, we are now able to model many materials at molecular scales and predict many of their properties based on ?rst-principle computations.

An Introduction To Computational Micromechanics

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Author : Tarek I. Zohdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-18

An Introduction To Computational Micromechanics written by Tarek I. Zohdi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-18 with Technology & Engineering categories.

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.

Fundamentals Of Multiscale Modeling Of Structural Materials

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Author : Wenjie Xia
language : en
Publisher: Elsevier
Release Date : 2022-11-26

Fundamentals Of Multiscale Modeling Of Structural Materials written by Wenjie Xia and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-26 with Technology & Engineering categories.

Fundamentals of Multiscale Modeling of Structural Materials provides a robust introduction to the computational tools, underlying theory, practical applications, and governing physical phenomena necessary to simulate and understand a wide-range of structural materials at multiple time and length scales. The book offers practical guidelines for modeling common structural materials with well-established techniques, outlining detailed modeling approaches for calculating and analyzing mechanical, thermal and transport properties of various structural materials such as metals, cement/concrete, polymers, composites, wood, thin films, and more.Computational approaches based on artificial intelligence and machine learning methods as complementary tools to the physics-based multiscale techniques are discussed as are modeling techniques for additively manufactured structural materials. Special attention is paid to how these methods can be used to develop the next generation of sustainable, resilient and environmentally-friendly structural materials, with a specific emphasis on bridging the atomistic and continuum modeling scales for these materials. - Synthesizes the latest cutting-edge computational multiscale modeling techniques for an array of structural materials - Emphasizes the foundations of the field and offers practical guidelines for modeling material systems with well-established techniques - Covers methods for calculating and analyzing mechanical, thermal and transport properties of various structural materials such as metals, cement/concrete, polymers, composites, wood, and more - Highlights underlying theory, emerging areas, future directions and various applications of the modeling methods covered - Discusses the integration of multiscale modeling and artificial intelligence

Multiscale Modeling In Biomechanics And Mechanobiology

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Author : Suvranu De
language : en
Publisher: Springer
Release Date : 2014-10-10

Multiscale Modeling In Biomechanics And Mechanobiology written by Suvranu De and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Technology & Engineering categories.

Presenting a state-of-the-art overview of theoretical and computational models that link characteristic biomechanical phenomena, this book provides guidelines and examples for creating multiscale models in representative systems and organisms. It develops the reader's understanding of and intuition for multiscale phenomena in biomechanics and mechanobiology, and introduces a mathematical framework and computational techniques paramount to creating predictive multiscale models. Biomechanics involves the study of the interactions of physical forces with biological systems at all scales – including molecular, cellular, tissue and organ scales. The emerging field of mechanobiology focuses on the way that cells produce and respond to mechanical forces – bridging the science of mechanics with the disciplines of genetics and molecular biology. Linking disparate spatial and temporal scales using computational techniques is emerging as a key concept in investigating some of the complex problems underlying these disciplines. Providing an invaluable field manual for graduate students and researchers of theoretical and computational modelling in biology, this book is also intended for readers interested in biomedical engineering, applied mechanics and mathematical biology.

Multiscale Modeling Approaches For Composites

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Author : George Chatzigeorgiou
language : en
Publisher: Elsevier
Release Date : 2022-01-19

Multiscale Modeling Approaches For Composites written by George Chatzigeorgiou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-19 with Technology & Engineering categories.

Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modeling techniques and provides detailed guidance for putting them into practice. Various homogenization methods are presented in a simple, didactic manner, with an array of numerical examples. The book starts by covering the theoretical underpinnings of tensors and continuum mechanics concepts, then passes to actual micromechanic techniques for composite media and laminate plates. In the last chapters the book covers advanced topics in homogenization, including Green's tensor, Hashin-Shtrikman bounds, and special types of problems. All chapters feature comprehensive analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory. Key features: Bridges theory and practice, providing step-by-step instructions for implementing multiscale modeling approaches for composites and the theoretical concepts behind them Covers boundary conditions, data-exchange between scales, the Hill-Mandel principle, average stress and strain theorems, and more Discusses how to obtain composite properties using various full-field and mean-field approaches Includes access to a companion site featuring the numerical examples, Python, and ABAQUS codes