Multiscale Modeling Approaches For Composites

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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

Multiscale Modeling Approaches For Composites

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Author : George Chatzigeorgiou
language : en
Publisher: Elsevier
Release Date : 2022-01-07

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 2022-01-07 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. - 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 different boundary conditions - Includes access to a companion site, featuring the numerical examples, Python and ABACUS codes discussed in the book

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.

Multi Scale Continuum Mechanics Modelling Of Fibre Reinforced Polymer Composites

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Author : Wim Van Paepegem
language : en
Publisher: Woodhead Publishing
Release Date : 2020-11-26

Multi Scale Continuum Mechanics Modelling Of Fibre Reinforced Polymer Composites written by Wim Van Paepegem and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Technology & Engineering categories.

Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer) This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups: This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes: . ranging from prediction of homogenized elastic properties to nonlinear material behaviour . ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites . ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced composites The book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites. A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,.) in such a way that the underlying physics of the initiation and growth of these damage modes is respected. The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories). Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),. are excluded. Outline of the book The book is divided in three large parts, well balanced with each a similar number of chapters: Part I deals with all "ingredients" to start with multi-scale modelling, limited to elastic property prediction. This typically includes: (i) setting up your geometrical model at micro- or meso-scale (definition of Representative Volume Element (RVE) or Repeating Unit Cell (RUC)), (ii) definition of periodic boundary conditions, (iii) homogenization of the elastic properties, starting from the elastic properties of the constituents, (iv) importance of statistical representation of geometry and stochastic nature of fibre architecture. This should bring all readers at the same level of principles and terminology for multi-scale modelling. Advanced users could eventually skip this first part. Part II deals with nonlinear multi-scale modelling. We build further upon the ingredients from Part I, but now add all kinds of nonlinearities to the simulation at micro- or meso-scale (matrix cracking, delamination, fibre/matrix debonding, delamination, fibre failure, visco-elasto-plasticity-damage of the polymer matrix,.). Not only finite element based techniques are covered, but also much faster inclusion methods (Mori-Tanaka, Eshelby,.) and variational methods. Part III deals with the laminate scale or macro-scale, where all these multi-scale modelling tools are applied for macro-scale ply-based modelling and virtual testing of laminates (in static loading, but also sometimes for prediction of fatigue, post-impact strength,.). In all three parts, the main three types of fibre reinforcement are covered (unidirectionally reinforced composites, textile composites and short fibre composites). The chapters are written by leading authorities from academia, and each chapter gives a self-contained overview of a specific topic, covering the state-of-the-art and future research challenges.

Micromechanics Of Composite Materials

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Author : Jacob Aboudi
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013

Micromechanics Of Composite Materials written by Jacob Aboudi and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Technology & Engineering categories.

Summary: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime's research, of three leading experts in the field. The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use. Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure.

Computational Mechanics Of Composite Materials

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Author : Marcin M. Kamiński
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Computational Mechanics Of Composite Materials written by Marcin M. Kamiński 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 2005 with Computers categories.

This text emphasises the advantages of combining theoretical advancements in applied mathematics and mechanics with a probabilistic approach to experimental data to meet the practical needs of engineers.

Multiscale Modeling In Solid Mechanics Computational Approaches

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Author : Ugo Galvanetto
language : en
Publisher: World Scientific
Release Date : 2009-09-29

Multiscale Modeling In Solid Mechanics Computational Approaches 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 2009-09-29 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 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./a

Multiscale Materials Modeling

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Author : Siegfried Schmauder
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-08-22

Multiscale Materials Modeling written by Siegfried Schmauder and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-22 with Science categories.

This book presents current spatial and temporal multiscaling approaches of materials modeling. Recent results demonstrate the deduction of macroscopic properties at the device and component level by simulating structures and materials sequentially on atomic, micro- and mesostructural scales. The book covers precipitation strengthening and fracture processes in metallic alloys, materials that exhibit ferroelectric and magnetoelectric properties as well as biological, metal-ceramic and polymer composites. The progress which has been achieved documents the current state of art in multiscale materials modelling (MMM) on the route to full multi-scaling. Contents: Part I: Multi-time-scale and multi-length-scale simulations of precipitation and strengthening effects Linking nanoscale and macroscale Multiscale simulations on the coarsening of Cu-rich precipitates in α-Fe using kinetic Monte Carlo, Molecular Dynamics, and Phase-Field simulations Multiscale modeling predictions of age hardening curves in Al-Cu alloys Kinetic Monte Carlo modeling of shear-coupled motion of grain boundaries Product Properties of a two-phase magneto-electric composite Part II: Multiscale simulations of plastic deformation and fracture Niobium/alumina bicrystal interface fracture Atomistically informed crystal plasticity model for body-centred cubic iron FE2AT ・ finite element informed atomistic simulations Multiscale fatigue crack growth modeling for welded stiffened panels Molecular dynamics study on low temperature brittleness in tungsten single crystals Multi scale cellular automata and finite element based model for cold deformation and annealing of a ferritic-pearlitic microstructure Multiscale simulation of the mechanical behavior of nanoparticle-modified polyamide composites Part III: Multiscale simulations of biological and bio-inspired materials, bio-sensors and composites Multiscale Modeling of Nano-Biosensors Finite strain compressive behaviour of CNT/epoxy nanocomposites Peptide・zinc oxide interaction

Multiscale And Multiphysics Modelling For Advanced And Sustainable Materials

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Author : Patrizia Trovalusci
language : en
Publisher: Springer Nature
Release Date : 2025-06-25

Multiscale And Multiphysics Modelling For Advanced And Sustainable Materials written by Patrizia Trovalusci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-25 with Science categories.

This book offers the proceedings of Euromech colloquium 642, which wanted to provide a forum to present and debate several advanced computational, experimental, and analytical methods for studying the behaviour of complex materials and structures. The goal was to gather researchers (engineers, physicists, and mathematicians) specialized in multiscale material modelling for simulating the mechanics of solids and the physics of matter with the final aim of bridging the gap between solids and structural mechanics and material science in the modelling of “complex” materials. Both computational and experimental aspects play a central role, and talks have also focused on a broad range of aspects either related to the material modelling or the structural one. Various types of complex materials, made of very different constituents, are used nowadays in engineering practice: particle or fibrous composites; laminates; green composites with natural fillers and industrial or urban recyclable materials; nanomaterials; architecture material; in general complex multiphase materials with a complex internal structure including: porosity, reinforcement in the form of short fibres and particles of various properties, shapes, and sizes, filled in different media. It is widely recognized that important macroscopic properties such as the macroscopic stiffness and strength are governed by multiphysics processes (e.g. damage due to heat transfer or fluid penetration, crack propagation under thermal shock in ceramic/metallic matrix composites, etc.) which occur at one to several scales below the level of observation. A thorough understanding of how these processes influence the reduction of stiffness and strength is a key to the analysis of existing, and the design of improved, complex materials. The colloquium was centred on “Multiscale and Multiphysics Modeling of Complex Materials”, with attention to the constitutive aspects concerning complex materials, so defined for the presence of internal structure at different scales (nano/micro/meso) and nonlinear constitutive behaviour (plasticity, damage, fracture, etc.).

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.