Multi Scale Modelling For Structures And Composites

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Multi-scale Modelling for Structures and Composites

Author : G. Panasenko
Publisher : Springer Science & Business Media
ISBN 13 : 9781402029813
Total Pages : 426 pages
Book Rating : 4.0/5 (298 download)

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Book Synopsis Multi-scale Modelling for Structures and Composites by : G. Panasenko

Download or read book Multi-scale Modelling for Structures and Composites written by G. Panasenko and published by Springer Science & Business Media. This book was released on 2005-02-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".

Multiscale Modeling and Simulation of Composite Materials and Structures

Author : Young Kwon
Publisher : Springer Science & Business Media
ISBN 13 : 0387363181
Total Pages : 634 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Multiscale Modeling and Simulation of Composite Materials and Structures by : Young Kwon

Download or read book Multiscale Modeling and Simulation of Composite Materials and Structures written by Young Kwon and published by Springer Science & Business Media. This book was released on 2007-12-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Heterogeneous Structures

Author : Jurica Sorić
Publisher : Springer
ISBN 13 : 3319654632
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Multiscale Modeling of Heterogeneous Structures by : Jurica Sorić

Download or read book Multiscale Modeling of Heterogeneous Structures written by Jurica Sorić and published by Springer. This book was released on 2017-11-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Ugo Galvanetto
Publisher : Imperial College Press
ISBN 13 : 1848163088
Total Pages : 349 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Multiscale Modeling in Solid Mechanics by : Ugo Galvanetto

Download or read book Multiscale Modeling in Solid Mechanics written by Ugo Galvanetto and published by Imperial College Press. This book was released on 2010 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multi-scale Modelling for Structures and Composites

Author : G. Panasenko
Publisher : Springer Science & Business Media
ISBN 13 : 1402029829
Total Pages : 407 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Multi-scale Modelling for Structures and Composites by : G. Panasenko

Download or read book Multi-scale Modelling for Structures and Composites written by G. Panasenko and published by Springer Science & Business Media. This book was released on 2005-06-15 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".

Multi-Scale Modelling of Composite Material Systems

Author : C Soutis
Publisher : Elsevier
ISBN 13 : 1845690842
Total Pages : 525 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Multi-Scale Modelling of Composite Material Systems by : C Soutis

Download or read book Multi-Scale Modelling of Composite Material Systems written by C Soutis and published by Elsevier. This book was released on 2005-08-29 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important and exciting areas of composites research is the development of modelling techniques to predict the response of composite materials to different types of stress. Predictive modelling provides the opportunity both to understand better how composites behave in different conditions and to develop materials with enhanced performance for particular industrial applications. Multi-scale modelling of composite material systems summarises the key research in this area and its implications for industry.The book covers modelling approaches ranging from the micron to the metre in scale, and from the single fibre to complete composite structures. Individual chapters discuss a variety of material types from laminates and fibre-reinforced composites to monolithic and sandwich composites. They also analyse a range of types of stress and stress response from fracture and impact to wear and fatigue. Authors also discuss the strengths and weaknesses of particular models.With its distinguished editors and international team of contributors, Multi-scale modelling of composite material systems is a standard reference for both academics and manufacturers in such areas as aerospace, automotive and civil engineering. Extensive coverage of this important and exciting area of composites research Understand how composites behave in different circumstances Compiled by an expert panel of authors and editors

Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites

Author : Wim Van Paepegem
Publisher : Woodhead Publishing
ISBN 13 : 0128189851
Total Pages : 766 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites by : Wim Van Paepegem

Download or read book Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites written by Wim Van Paepegem and published by Woodhead Publishing. This book was released on 2020-11-25 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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:

Multiscale Modeling Approaches for Composites

Author : George Chatzigeorgiou
Publisher : Elsevier
ISBN 13 : 0128233702
Total Pages : 366 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Multiscale Modeling Approaches for Composites by : George Chatzigeorgiou

Download or read book Multiscale Modeling Approaches for Composites written by George Chatzigeorgiou and published by Elsevier. This book was released on 2022-01-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods

Author : Jacob Fish
Publisher : Oxford University Press
ISBN 13 : 0199233853
Total Pages : 631 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Multiscale Methods by : Jacob Fish

Download or read book Multiscale Methods written by Jacob Fish and published by Oxford University Press. This book was released on 2010 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

Practical Aspects of Computational Chemistry

Author : Jerzy Leszczynski
Publisher : Springer Science & Business Media
ISBN 13 : 9048126878
Total Pages : 468 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Practical Aspects of Computational Chemistry by : Jerzy Leszczynski

Download or read book Practical Aspects of Computational Chemistry written by Jerzy Leszczynski and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Practical Aspects of Computational Chemistry" presents contributions on a range of aspects of Computational Chemistry applied to a variety of research fields. The chapters focus on recent theoretical developments which have been used to investigate structures and properties of large systems with minimal computational resources. Studies include those in the gas phase, various solvents, various aspects of computational multiscale modeling, Monte Carlo simulations, chirality, the multiple minima problem for protein folding, the nature of binding in different species and dihydrogen bonds, carbon nanotubes and hydrogen storage, adsorption and decomposition of organophosphorus compounds, X-ray crystallography, proton transfer, structure-activity relationships, a description of the REACH programs of the European Union for chemical regulatory purposes, reactions of nucleic acid bases with endogenous and exogenous reactive oxygen species and different aspects of nucleic acid bases, base pairs and base tetrads.

Multiscale Modelling and Optimisation of Materials and Structures

Author : Tadeusz Burczynski
Publisher : John Wiley & Sons
ISBN 13 : 1118536452
Total Pages : 440 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Multiscale Modelling and Optimisation of Materials and Structures by : Tadeusz Burczynski

Download or read book Multiscale Modelling and Optimisation of Materials and Structures written by Tadeusz Burczynski and published by John Wiley & Sons. This book was released on 2022-05-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Mechanics of Composite Materials

Author : Marcin Marek Kaminski
Publisher : Springer Science & Business Media
ISBN 13 : 1846280494
Total Pages : 434 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Computational Mechanics of Composite Materials by : Marcin Marek Kaminski

Download or read book Computational Mechanics of Composite Materials written by Marcin Marek Kaminski and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers. Features: Programs for the probabilistic homogenisation of composite structures with finite numbers of components allow composites to be treated as homogeneous materials with simpler behaviours. Treatment of defects in the interfaces within heterogeneous materials and those arising in composite objects as a whole by stochastic modelling. New models for the reliability of composite structures. Novel numerical algorithms for effective Monte-Carlo simulation. Computational Mechanics of Composite Materials will be of interest to academic and practising civil, mechanical, electronic and aerospatial engineers, to materials scientists and to applied mathematicians requiring accurate and usable models of the behaviour of composite materials.

Advanced Multifunctional Lightweight Aerostructures

Author : Kamran Behdinan
Publisher : John Wiley & Sons
ISBN 13 : 1119756723
Total Pages : 256 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Advanced Multifunctional Lightweight Aerostructures by : Kamran Behdinan

Download or read book Advanced Multifunctional Lightweight Aerostructures written by Kamran Behdinan and published by John Wiley & Sons. This book was released on 2021-01-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a review of the newest methodologies for the characterization and modelling of lightweight materials and structures Advances in Multifunctional Lightweight Structures offers a text that provides and in-depth analyses of the thermal, electrical and mechanical responses of multi-functional lightweight structures. The authors, noted experts on the topic, address the most recent and innovative methodologies for the characterization and modelling of lightweight materials and discuss various shell and plate theories. They present multifunctional materials and structures and offer detailed descriptions of the complex modelling of these structures. The text is divided into three sections that demonstrate a keen understanding and awareness for multi-functional lightweight structures by taking a unique approach. The authors explore multi-disciplinary modelling and characterization alongside benchmark problems and applications, topics that are rarely approached in this field. This important book: • Offers an analyses of the thermal, electrical and mechanical responses of multi-functional lightweight structures • Covers innovative methodologies for the characterization and modelling of lightweight materials and structures • Presents a characterization of a wide variety of novel materials • Considers multifunctional novel structures with potential applications in different high-tech industries • Includes efficient and highly accurate methodologies Written for professionals, engineers and researchers in industrial and other specialized research institutions, Advances in Multifunctional Lightweight Structures offers a much needed text to the design practices of existing engineering building services and how these methods combine with recent developments.

Multiscale Problems: Theory, Numerical Approximation And Applications

Author : Alain Damlamian
Publisher : World Scientific
ISBN 13 : 9814458120
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multiscale Problems: Theory, Numerical Approximation And Applications by : Alain Damlamian

Download or read book Multiscale Problems: Theory, Numerical Approximation And Applications written by Alain Damlamian and published by World Scientific. This book was released on 2011-10-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

The Cell Method

Author : Elena Ferretti
Publisher : Momentum Press
ISBN 13 : 1606506064
Total Pages : 282 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis The Cell Method by : Elena Ferretti

Download or read book The Cell Method written by Elena Ferretti and published by Momentum Press. This book was released on 2014-02-02 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cell Method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. Professional engineers and scientists, as well as graduate students, are offered: • A general overview of physics and its mathematical descriptions; • Guidance on how to build direct, discrete formulations; • Coverage of the governing equations of the CM, including nonlocality; • Explanations of the use of Tonti diagrams; and • References for further reading.

Multiscale Modelling and Simulation

Author : Sabine Attinger
Publisher : Springer Science & Business Media
ISBN 13 : 9783540211808
Total Pages : 304 pages
Book Rating : 4.2/5 (118 download)

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Book Synopsis Multiscale Modelling and Simulation by : Sabine Attinger

Download or read book Multiscale Modelling and Simulation written by Sabine Attinger and published by Springer Science & Business Media. This book was released on 2004-07-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 2003, ETHZ Computational Laboratory (CoLab), together with the Swiss Center for Scientific Computing in Manno and the Università della Svizzera Italiana (USI), organized the Summer School in "Multiscale Modelling and Simulation" in Lugano, Switzerland. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Relevant examples of practical interest include: structural analysis of materials, flow through porous media, turbulent transport in high Reynolds number flows, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others. Though multiple scale models are not new, the topic has recently taken on a new sense of urgency. A number of hybrid approaches are now created in which ideas coming from distinct disciplines or modelling approaches are unified to produce new and computationally efficient techniques.

Multi-scale Simulation of Composite Materials

Author : Stefan Diebels
Publisher : Springer
ISBN 13 : 366257957X
Total Pages : 178 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Multi-scale Simulation of Composite Materials by : Stefan Diebels

Download or read book Multi-scale Simulation of Composite Materials written by Stefan Diebels and published by Springer. This book was released on 2019-02-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to their high stiffness and strength and their good processing properties short fibre reinforced thermoplastics are well-established construction materials. Up to now, simulation of engineering parts consisting of short fibre reinforced thermoplastics has often been based on macroscopic phenomenological models, but deformations, damage and failure of composite materials strongly depend on their microstructure. The typical modes of failure of short fibre thermoplastics enriched with glass fibres are matrix failure, rupture of fibres and delamination, and pure macroscopic consideration is not sufficient to predict those effects. The typical predictive phenomenological models are complex and only available for very special failures. A quantitative prediction on how failure will change depending on the content and orientation of the fibres is generally not possible, and the direct involvement of the above effects in a numerical simulation requires multi-scale modelling. One the one hand, this makes it possible to take into account the properties of the matrix material and the fibre material, the microstructure of the composite in terms of fibre content, fibre orientation and shape as well as the properties of the interface between fibres and matrix. On the other hand, the multi-scale approach links these local properties to the global behaviour and forms the basis for the dimensioning and design of engineering components. Furthermore, multi-scale numerical simulations are required to allow efficient solution of the models when investigating three-dimensional problems of dimensioning engineering parts. Bringing together mathematical modelling, materials mechanics, numerical methods and experimental engineering, this book provides a unique overview of multi-scale modelling approaches, multi-scale simulations and experimental investigations of short fibre reinforced thermoplastics. The first chapters focus on two principal subjects: the mathematical and mechanical models governing composite properties and damage description. The subsequent chapters present numerical algorithms based on the Finite Element Method and the Boundary Element Method, both of which make explicit use of the composite’s microstructure. Further, the results of the numerical simulations are shown and compared to experimental results. Lastly, the book investigates deformation and failure of composite materials experimentally, explaining the applied methods and presenting the results for different volume fractions of fibres. This book is a valuable resource for applied mathematics, theoretical and experimental mechanical engineers as well as engineers in industry dealing with modelling and simulation of short fibre reinforced composites.