Mathematical Methods And Models In Composites
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Mathematical Methods And Models In Composites Second Edition
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Author : Vladislav Mantic
language : en
Publisher: World Scientific
Release Date : 2023-03-10
Mathematical Methods And Models In Composites Second Edition written by Vladislav Mantic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-10 with Mathematics categories.
Mathematical Methods and Models in Composites (Second Edition) provides an in-depth treatment of modern and rigorous mathematical methods and models applied to composites modeling on the micro-, meso-, and macro scale. There has been a steady growth in the diversity of such methods and models that are used in the analysis and characterization of composites, their behavior, and their associated phenomena and processes. This second edition expands upon the success of the first edition, and has been substantially revised and updated.Written by well-known experts in different areas of applied mathematics, physics, and composite engineering, this book is mainly focused on continuous fiber reinforced composites and their ever increasing range of applications (for example, in the aerospace industry), though it also covers other kind of composites. The chapters cover a range of topics including, but not limited to: scaling and homogenization procedures in composites, thin plate and wave solutions in anisotropic materials, laminated structures, fiber-reinforced nonlinearly elastic solids, buckling and postbuckling, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing such as resin transfer molding. The results presented are useful for the design, fabrication, testing and industrial applications of composite components and structures.This book is an essential reference for graduate and doctoral students, as well as researchers in mathematics, physics and composite engineering. Explanations and references in the book are sufficiently detailed so as to provide the necessary background to further investigate the fascinating subject of composites modeling and explore relevant research literature. It is also suitable for non-experts who wish to have an overview of the mathematical methods and models used for composites, and of the open problems in this area that require further research.
Mathematical Methods And Models In Composites
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Author : Vladislav Mantic
language : en
Publisher: World Scientific
Release Date : 2013-10-25
Mathematical Methods And Models In Composites written by Vladislav Mantic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-25 with Technology & Engineering categories.
This book provides a representative selection of the most relevant, innovative, and useful mathematical methods and models applied to the analysis and characterization of composites and their behaviour on micro-, meso-, and macroscale. It establishes the fundamentals for meaningful and accurate theoretical and computer modelling of these materials in the future. Although the book is primarily concerned with fibre-reinforced composites, which have ever-increasing applications in fields such as aerospace, many of the results presented can be applied to other kinds of composites. The topics covered include: scaling and homogenization procedures in composite structures, thin plate and wave solutions in anisotropic materials, laminated structures, instabilities, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing. The results presented are useful in the design, fabrication, testing, and industrial applications of composite components and structures. The book is written by well-known experts in different areas of applied mathematics, physics, and composite engineering and is an essential source of reference for graduate and doctoral students, as well as researchers. It is also suitable for non-experts in composites who wish to have an overview of both the mathematical methods and models used in this area and the related open problems requiring further research.
Approximate Models Of Mechanics Of Composites
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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2024-06-20
Approximate Models Of Mechanics Of Composites written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-20 with Science categories.
Approximate Models of Mechanics of Composites: An Asymptotic Approach is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behavior of composites. It provides methodology for predicting and evaluating composite behavior in various structures, leading to accurate mathematical and physical assessments. The book estimates the error of approximations through comparing asymptotic solutions with the results of numerical and analytical solutions to gain a holistic view of the data. The authors have developed asymptotic models based on mathematical and physical rigorous approaches, which include three-phase models of fibrous composites, a modernized three-phase composite model with cylindrical inclusions, and models of two-dimensional composites of hexagonal structure. Also covered are two-phase models of composites related to the Maxwell formula and a percolation transition model for elastic problems based on the self-consistency method and Padé approximations. By obtaining analytical expressions to effectively characterize composite materials, their physical and geometric parameters can be accurately assessed. This book suits engineers and students working in material science, mechanical engineering, physics, and mathematics, as well as composite materials in industries such as construction, transport, aerospace, and chemical engineering.
Modeling Damage Fatigue And Failure Of Composite Materials
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Author : Ramesh Talreja
language : en
Publisher: Elsevier
Release Date : 2023-09-23
Modeling Damage Fatigue And Failure Of Composite Materials written by Ramesh Talreja and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-23 with Technology & Engineering categories.
Modeling Damage, Fatigue and Failure of Composite Materials, Second Edition provides the latest research in the field of composite materials, an area that has attracted a wealth of research, with significant interest in the areas of damage, fatigue, and failure. The book is fully updated, and is a comprehensive source of physics-based models for the analysis of progressive and critical failure phenomena in composite materials. It focuses on materials modeling while also reviewing treatments for analyzing failure in composite structures. Sections review damage development in composite materials such as generic damage and damage accumulation in textile composites and under multiaxial loading. Part Two focuses on the modeling of failure mechanisms in composite materials, with attention given to fiber/matrix cracking and debonding, compression failure, and delamination fracture. Final sections examine the modeling of damage and materials response in composite materials, including micro-level and multi-scale approaches, the failure analysis of composite materials and joints, and the applications of predictive failure models. - Provides a comprehensive source of physics-based models for the analysis of progressive and critical failure phenomena in composite materials - Assesses failure and life prediction in composite materials - Discusses the applications of predictive failure models such as computational approaches to failure analysis - Covers further developments in computational analyses and experimental techniques, along with new applications in aerospace, automotive, and energy (wind turbine blades) fields - Covers delamination and thermoplastic-based composites
Mathematical Modelling And Biomechanics Of The Brain
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Author : Corina Drapaca
language : en
Publisher: Springer Nature
Release Date : 2019-09-06
Mathematical Modelling And Biomechanics Of The Brain written by Corina Drapaca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-06 with Mathematics categories.
This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.
Mathematical Modeling In Cultural Heritage
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Author : Elena Bonetti
language : en
Publisher: Springer Nature
Release Date : 2021-02-03
Mathematical Modeling In Cultural Heritage written by Elena Bonetti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-03 with Mathematics categories.
This work collects the contributions presented at the INdAM Workshop “Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage – MACH2019” held in Rome in March 2019. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are: corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing. The final goal is to build a permanent bridge between the experts in cultural heritage and the mathematical community. The work is addressed to experts in cultural heritage and to mathematicians.
Boundary Elements And Other Mesh Reduction Methods
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Author : C.A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2018-02-01
Boundary Elements And Other Mesh Reduction Methods written by C.A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-01 with Mathematics categories.
Formed of presented papers this volume contains research from the 40th International Conference on Boundary Elements and other Mesh Reduction Methods, recognised as THE international forum for the latest advances in these techniques and their applications in science and engineering. The ongoing success of this series is a result of the strength of research being carried out all over the world and the coverage has continually evolved in line with the latest developments in the field. The books originating from this conference series constitute a record of the development of BEM/MRM, running from the initial successful development of boundary integral techniques into the boundary element method, a technique that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since these methods are used in many engineering and scientific fields the 2017 book, Boundary Elements and other Mesh Reduction Methods XXXX, like the series before, will be of great interest to those working within the areas of numerical analysis, boundary elements and meshless methods. The research papers included in this volume cover: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer; Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and vibrations; Engineering applications; Interfacing with other methods; Coupling with design and manufacturing; Solution of large systems of equations.
The Structural Integrity Of Carbon Fiber Composites
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Author : Peter W. R Beaumont
language : en
Publisher: Springer
Release Date : 2016-11-26
The Structural Integrity Of Carbon Fiber Composites written by Peter W. R Beaumont and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-26 with Technology & Engineering categories.
This book brings together a diverse compilation of inter-disciplinary chapters on fundamental aspects of carbon fiber composite materials and multi-functional composite structures: including synthesis, characterization, and evaluation from the nano-structure to structure meters in length. The content and focus of contributions under the umbrella of structural integrity of composite materials embraces topics at the forefront of composite materials science and technology, the disciplines of mechanics, and development of a new predictive design methodology of the safe operation of engineering structures from cradle to grave. Multi-authored papers on multi-scale modelling of problems in material design and predicting the safe performance of engineering structure illustrate the inter-disciplinary nature of the subject. The book examines topics such as Stochastic micro-mechanics theory and application for advanced composite systems Construction of the evaluation process for structural integrity of material and structure Nano- and meso-mechanics modelling of structure evolution during the accumulation of damage Statistical meso-mechanics of composite materials Hierarchical analysis including "age-aware," high-fidelity simulation and virtual mechanical testing of composite structures right up to the point of failure. The volume is ideal for scientists, engineers, and students interested in carbon fiber composite materials, and other composite material systems.
Structural Health Monitoring For Advanced Composite Structures
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Author : M H Ferri Aliabadi
language : en
Publisher: World Scientific
Release Date : 2017-12-18
Structural Health Monitoring For Advanced Composite Structures written by M H Ferri Aliabadi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Technology & Engineering categories.
Structural health monitoring (SHM) is a relatively new and alternative way of non-destructive inspection (NDI). It is the process of implementing a damage detection and characterization strategy for composite structures. The basis of SHM is the application of permanent fixed sensors on a structure, combined with minimum manual intervention to monitor its structural integrity. These sensors detect changes to the material and/or geometric properties of a structural system, including changes to the boundary conditions and system connectivity, which adversely affect the system's performance.This book's primary focus is on the diagnostics element of SHM, namely damage detection in composite structures. The techniques covered include the use of Piezoelectric transducers for active and passive Ultrasonics guided waves and electromechanical impedance measurements, and fiber optic sensors for strain sensing. It also includes numerical modeling of wave propagation in composite structures. Contributed chapters written by leading researchers in the field describe each of these techniques, making it a key text for researchers and NDI practitioners as well as postgraduate students in a number of specialties including materials, aerospace, mechanical and computational engineering.
Asymptotical Mechanics Of Composites
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Author : Igor V. Andrianov
language : en
Publisher: Springer
Release Date : 2017-11-09
Asymptotical Mechanics Of Composites written by Igor V. Andrianov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-09 with Science categories.
In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.