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Multiscale Modeling and Simulation of Composite Materials and Structures

Multiscale Modeling and Simulation of Composite Materials and Structures
Author: Young Kwon
Publisher: Springer Science & Business Media
Total Pages: 634
Release: 2007-12-04
Genre: Technology & Engineering
ISBN: 0387363181

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This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering composites and the sustainable high performance of components and structures. The multiscale techniques can be also applied to nanocomposites which are important application areas in nanotechnology. There are few books available on this topic.


Multiscale Modeling of Complex Materials

Multiscale Modeling of Complex Materials
Author: Tomasz Sadowski
Publisher: Springer
Total Pages: 285
Release: 2014-10-14
Genre: Science
ISBN: 3709118123

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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 and Analysis for Materials Simulation

Multiscale Modeling and Analysis for Materials Simulation
Author: Weizhu Bao
Publisher: World Scientific
Total Pages: 285
Release: 2012
Genre: Mathematics
ISBN: 9814360899

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The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.


Multiscale Materials Modelling

Multiscale Materials Modelling
Author: Z. X. Guo
Publisher: Elsevier
Total Pages: 307
Release: 2007-05-31
Genre: Technology & Engineering
ISBN: 184569337X

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Multiscale materials modelling offers an integrated approach to modelling material behaviour across a range of scales from the electronic, atomic and microstructural up to the component level. As a result, it provides valuable new insights into complex structures and their properties, opening the way to develop new, multi-functional materials together with improved process and product designs. Multiscale materials modelling summarises some of the key techniques and their applications. The various chapters cover the spectrum of scales in modelling methodologies, including electronic structure calculations, mesoscale and continuum modelling. The book covers such themes as dislocation behaviour and plasticity as well as the modelling of structural materials such as metals, polymers and ceramics. With its distinguished editor and international team of contributors, Multiscale materials modelling is a valuable reference for both the modelling community and those in industry wanting to know more about how multiscale materials modelling can help optimise product and process design. Reviews the principles and applications of mult-scale materials modelling Covers themes such as dislocation behaviour and plasticity and the modelling of structural materials Examines the spectrum of scales in modelling methodologies, including electronic structure calculations, mesoscale and continuum modelling


Materials with Internal Structure

Materials with Internal Structure
Author: Patrizia Trovalusci
Publisher: Springer
Total Pages: 135
Release: 2015-10-17
Genre: Science
ISBN: 3319214942

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The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse–graining multiscale approaches.


Stochastic Multiscale Modeling of Complex Materials

Stochastic Multiscale Modeling of Complex Materials
Author: Joseph Bakarji
Publisher:
Total Pages:
Release: 2020
Genre:
ISBN:

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Multiscale modeling and simulation of complex materials is still a formidable task. The challenge arises due to the lack of scale separation in systems that exhibit nonlinear and chaotic dynamics. In this dissertation, we develop stochastic, multiscale and data-driven methods for modeling complex systems, with a focus on the dynamic compaction of heterogeneous granular materials. We first devise an energy-conserving multiscale hybrid model that explicitly accounts for macropore compaction dynamics at the mesoscale. Subsequently, we develop a probabilistic generalization that models the heterogeneous initial microstructure as a random field to explain thermal localization. The results motivate a data-driven sparse regression method to discover analytical expressions for PDF equations from Monte Carlo simulation data. This method has shown to be a promising direction for data-driven coarse-graining in a wide range of physics and engineering applications. In addition, we introduce model uncertainty and subscale fluctuations that arise due chaotic intergranular stresses through the formalism of stochastic differential equations (SDE). Finally, a hybrid algorithm that couples SDEs with PDEs is developed to combine fine- and coarse-grained probabilistic models in the same domain.


Multiscale Modeling and Simulation in Science

Multiscale Modeling and Simulation in Science
Author: Björn Engquist
Publisher: Springer Science & Business Media
Total Pages: 332
Release: 2009-02-11
Genre: Computers
ISBN: 3540888578

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Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.


Multiscale Modeling in Solid Mechanics

Multiscale Modeling in Solid Mechanics
Author: Ugo Galvanetto
Publisher: Imperial College Press
Total Pages: 349
Release: 2010
Genre: Science
ISBN: 1848163088

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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 Homogenisation 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. Sample Chapter(s). Chapter 1: Computational Homogenisation for Non-Linear Heterogeneous Solids (808 KB). Contents: Computational Homogenisation for Non-Linear Heterogeneous Solids (V G Kouznetsova et al.); Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials (Q-Z Xiao & B L Karihaloo); Multi-Scale Boundary Element Modelling of Material Degradation and Fracture (G K Sfantos & M H Aliabadi); Non-Uniform Transformation Field Analysis: A Reduced Model for Multiscale Non-Linear Problems in Solid Mechanics (J-C Michel & P Suquet); Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures (M J Lefik et al.); Recent Advances in Masonry Modelling: Micro-Modelling and Homogenisation (P B Louren o); Mechanics of Materials with Self-Similar Hierarchical Microstructure (R C Picu & M A Soare). Readership: Researchers and academics in the field of heterogeneous materials and mechanical engineering; professionals in aeronautical engineering and materials science.


Multiscale Modeling of Complex Molecular Structure and Dynamics with MBN Explorer

Multiscale Modeling of Complex Molecular Structure and Dynamics with MBN Explorer
Author: Ilia A. Solov’yov
Publisher: Springer
Total Pages: 460
Release: 2017-05-16
Genre: Science
ISBN: 3319560875

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This book introduces readers to MesoBioNano (MBN) Explorer – a multi-purpose software package designed to model molecular systems at various levels of size and complexity. In addition, it presents a specially designed multi-task toolkit and interface – the MBN Studio – which enables the set-up of input files, controls the simulations, and supports the subsequent visualization and analysis of the results obtained. The book subsequently provides a systematic description of the capabilities of this universal and powerful software package within the framework of computational molecular science, and guides readers through its applications in numerous areas of research in bio- and chemical physics and material science – ranging from the nano- to the mesoscale. MBN Explorer is particularly suited to computing the system’s energy, to optimizing molecular structure, and to exploring the various facets of molecular and random walk dynamics. The package allows the use of a broad variety of interatomic potentials and can, e.g., be configured to select any subset of a molecular system as rigid fragments, whenever a significant reduction in the number of dynamical degrees of freedom is required for computational practicalities. MBN Studio enables users to easily construct initial geometries for the molecular, liquid, crystalline, gaseous and hybrid systems that serve as input for the subsequent simulations of their physical and chemical properties using MBN Explorer. Despite its universality, the computational efficiency of MBN Explorer is comparable to that of other, more specialized software packages, making it a viable multi-purpose alternative for the computational modeling of complex molecular systems. A number of detailed case studies presented in the second part of this book demonstrate MBN Explorer’s usefulness and efficiency in the fields of atomic clusters and nanoparticles, biomolecular systems, nanostructured materials, composite materials and hybrid systems, crystals, liquids and gases, as well as in providing modeling support for novel and emerging technologies. Last but not least, with the release of the 3rd edition of MBN Explorer in spring 2017, a free trial version will be available from the MBN Research Center website (mbnresearch.com).


Principles of Multiscale Modeling

Principles of Multiscale Modeling
Author: Weinan E
Publisher: Cambridge University Press
Total Pages: 485
Release: 2011-07-07
Genre: Mathematics
ISBN: 1107096545

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A systematic discussion of the fundamental principles, written by a leading contributor to the field.