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Practical Multiscaling


Practical Multiscaling
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Practical Multiscaling


Practical Multiscaling
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Author : Jacob Fish
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-03

Practical Multiscaling written by Jacob Fish and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Science categories.


Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design Covers applications of multiscale methods Accompanied by a continuously updated website hosting the multiscale design software Illustrated with colour images Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors.



Multiscale Modelling And Optimisation Of Materials And Structures


Multiscale Modelling And Optimisation Of Materials And Structures
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Author : Tadeusz Burczynski
language : en
Publisher: John Wiley & Sons
Release Date : 2022-05-19

Multiscale Modelling And Optimisation Of Materials And Structures written by Tadeusz Burczynski and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-19 with Technology & Engineering categories.


Addresses the very topical, crucial and original subject of parameter identification and optimization within multiscale modeling methods Multiscale Modelling and Optimization of Materials and Structures presents an important and challenging area of research that enables the design of new materials and structures with better quality, strength and performance parameters as well as the creation of reliable models that take into account structural, material and topological properties at different scales. The authors’ approach is four-fold; 1) the basic principles of micro and nano scale modeling techniques; 2) the connection of micro and/or nano scale models with macro simulation software; 3) optimization development in the framework of multiscale engineering and the solution of identification problems; 4) the computer science techniques used in this model and advice for scientists interested in developing their own models and software for multiscale analysis and optimization. The authors present several approaches such as the bridging and homogenization methods, as well as the general formulation of complex optimization and identification problems in multiscale modelling. They apply global optimization algorithms based on robust bioinspired algorithms, proposing parallel and multi-subpopulation approaches in order to speed-up computations, and discuss several numerical examples of multiscale modeling, optimization and identification of composite and functionally graded engineering materials and bone tissues. Multiscale Modelling and Optimization of Materials and Structures is thereby a valuable source of information for young scientists and students looking to develop their own models, write their own computer programs and implement them into simulation systems. Describes micro and nano scale models developed by the authors along with case studies of analysis and optimization Discusses the problems of computing costs, efficiency of information transfer, effective use of the computer memory and several other aspects of development of multiscale models Includes real physical, chemical and experimental studies with modern experimental techniques Provides a valuable source of information for young scientists and students looking to develop their own models, write their own computer programs, and implement them into simulation systems.



Multiscale Materials Modeling For Nanomechanics


Multiscale Materials Modeling For Nanomechanics
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Author : Christopher R. Weinberger
language : en
Publisher: Springer
Release Date : 2016-08-30

Multiscale Materials Modeling For Nanomechanics written by Christopher R. Weinberger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-30 with Technology & Engineering categories.


This book presents a unique combination of chapters that together provide a practical introduction to multiscale modeling applied to nanoscale materials mechanics. The goal of this book is to present a balanced treatment of both the theory of the methodology, as well as some practical aspects of conducting the simulations and models. The first half of the book covers some fundamental modeling and simulation techniques ranging from ab-inito methods to the continuum scale. Included in this set of methods are several different concurrent multiscale methods for bridging time and length scales applicable to mechanics at the nanoscale regime. The second half of the book presents a range of case studies from a varied selection of research groups focusing either on a the application of multiscale modeling to a specific nanomaterial, or novel analysis techniques aimed at exploring nanomechanics. Readers are also directed to helpful sites and other resources throughout the book where the simulation codes and methodologies discussed herein can be accessed. Emphasis on the practicality of the detailed techniques is especially felt in the latter half of the book, which is dedicated to specific examples to study nanomechanics and multiscale materials behavior. An instructive avenue for learning how to effectively apply these simulation tools to solve nanomechanics problems is to study previous endeavors. Therefore, each chapter is written by a unique team of experts who have used multiscale materials modeling to solve a practical nanomechanics problem. These chapters provide an extensive picture of the multiscale materials landscape from problem statement through the final results and outlook, providing readers with a roadmap for incorporating these techniques into their own research.



Simulation Of Damage Mechanisms In Weave Reinforced Materials Based On Multiscale Modeling


Simulation Of Damage Mechanisms In Weave Reinforced Materials Based On Multiscale Modeling
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Author : Naake, Dominik Robert
language : en
Publisher: KIT Scientific Publishing
Release Date : 2020-09-18

Simulation Of Damage Mechanisms In Weave Reinforced Materials Based On Multiscale Modeling written by Naake, Dominik Robert 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 2020-09-18 with Technology & Engineering categories.


A weave reinforced composite material with a thermoplastic matrix is investigated by using a multiscale chain to predict the macroscopic material behavior. A large-strain framework for constitutive modeling with focus on material non-linearities, i.e. plasticity and damage is defined. The ability of the geometric and constitutive models to predict the deformation and failure behavior is demonstrated by means of selected examples.



Finite Element Modeling Of Multiscale Transport Phenomena


Finite Element Modeling Of Multiscale Transport Phenomena
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Author : Vahid Nassehi
language : en
Publisher: World Scientific
Release Date : 2011

Finite Element Modeling Of Multiscale Transport Phenomena written by Vahid Nassehi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Technology & Engineering categories.


Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes. Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.



Fundamentals Of Multiscale Modeling Of Structural 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 Of The Skeletal System


Multiscale Modeling Of The Skeletal System
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Author : Marco Viceconti
language : en
Publisher: Cambridge University Press
Release Date : 2012

Multiscale Modeling Of The Skeletal System written by Marco Viceconti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


Systematically working from the whole body down to cellular levels, this book presents a multiscale, integrative approach to skeletal research.



Information Theory And Stochastics For Multiscale Nonlinear Systems


Information Theory And Stochastics For Multiscale Nonlinear Systems
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Author : Andrew Majda
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Information Theory And Stochastics For Multiscale Nonlinear Systems written by Andrew Majda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows. The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required. About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R.V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995.



Homogenization Theory For Multiscale Problems


Homogenization Theory For Multiscale Problems
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Author : Xavier Blanc
language : en
Publisher: Springer Nature
Release Date : 2023-04-29

Homogenization Theory For Multiscale Problems written by Xavier Blanc and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-29 with Mathematics categories.


The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.



Dynamics Of Multiscale Earth Systems


Dynamics Of Multiscale Earth Systems
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Author : Horst J. Neugebauer
language : en
Publisher: Springer
Release Date : 2008-01-26

Dynamics Of Multiscale Earth Systems written by Horst J. Neugebauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-26 with Science categories.


In many aspects science becomes conducted nowadays through technology and preferential criteria of economy. Thus investigation and knowledge is evidently linked to a speci?c purpose. Especially Earth science is confronted with two major human perspectives concerning our natural environment:sustainability of resources and assessment of risks. Both aspects are expressing urgent needs of the living society, but in the same way those needs are addressing a long lasting fundamental challenge which has so far not been met. Following on the patterns of economy and technology, the key is presumed to be found through a devel- mentoffeasibleconceptsforamanagement ofbothournaturalenvironmentand in one or the other way the realm of life. Although new techniques for obser- tion and analysis led to an increase of rather speci?c knowledge about particular phenomena, yet we fail now even more frequently to avoid unforeseen impli- tions and sudden changes of a situation. Obviously the improved technological tools and the assigned expectations on a management of nature still exceed our traditional scienti?c experience and accumulated competence. Earth- and Life- Sciences are nowadays exceedingly faced with the puzzling nature of an almost boundless network of relations, i. e. , the complexity of phenomena with respect to their variability. The disciplinary notations and their particular approaches arethusnolongeraccountingsu?cientlyfortherecordedcontextofphenomena, for their permanent variability and their unpredictable implications. The large environmental changes of glacial climatic cycles, for instance, demonstrate this complexity of such a typical phenomenology.