Download or read book Mathematical Methods And Models In Composites Second Edition written by Vladislav Mantic and published by World Scientific. This book was released on 2023-03-10 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematical Methods And Models In Composites written by Vladislav Mantic and published by World Scientific. This book was released on 2013-10-25 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Advances in Mathematical Modelling of Composite Materials written by K Z Markov and published by World Scientific. This book was released on 1994-05-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers of leading experts in the modern continuum theory of composite materials. The papers expose in detail the newest ideas, approaches, results and perspectives in this broadly interdisciplinary field ranging from pure and applied mathematics, mechanics, physics and materials science. The emphasis is on mathematical modelling and model analysis of the mechanical behaviour and strength of composites, including methods of predicting effective macroscopic properties (dielectric, elastic, nonlinear, inelastic, plastic and thermoplastic) from known microstructures. Contents:Effective Field Method in Mechanics of Matrix Composite Materials (S K Kanaun & V M Levin)Functional Series and Hashin-Shtrikman Type Bounds on the Effective Properties of Random Media (K Z Markov & K D Zvyatkov)Bounds for the Effective Properties of Nonlinear Composite Materials (D R S Talbot)On the Modelling of the Inelastic Thermomechanical Behaviour and the Failure of Fibre-Reinforced Composites — A Unified Approach (K P Herrmann & I Mihovsky)Modelling of Elastic and Inelastic Behaviour of Composites (O B Pedersen & B Johannesson)Random Structure Models for Composite Media and Fracture Statistics (D Jeulin) Readership: Applied mathematicians. keywords:Continuum Theory;Composite Materials;Macroscopic Properties

Download or read book Uncertainty Quantification Of Guided Wave Structural Health Monitoring For Aeronautical Composite Structures written by Nan Yue and published by World Scientific. This book was released on 2024-01-10 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a guided wave-based structural health monitoring (GWSHM) system for aeronautical composite structures. Particular attention is paid to the development of a reliable and reproducible system with the capability to detect and localise barely visible impact damage (BVID) in carbon-fibre-reinforced polymer (CFRP) structures.TThe authors introduce a novel sensor installation method that offers ease of application and replacement as well as excellent durability. Electromechanical Impedance (EMI) is also explored to assess the durability of the sensor installation methods in simulated aircraft operational conditions including thermal cycles, fatigue loading, and hot-wet conditions.Damage characterisation using GWSHM is described and used to investigate damage in different CFRP structures. Key issues in guided wave-based damage identification are addressed, including wave mode and frequency selection, the influence of dynamic load, the validity of simulated damage, and the sensitivity of guided waves to impact damage in different CFRP materials.The influence of temperature on guided wave propagation in anisotropic CFRP structures is described, and a novel baseline reconstruction approach for temperature compensation is presented. Finally, a multi-level hierarchical approach for the quantification of an ultrasonic GWSHM system is put forth.

Download or read book Topics in the Mathematical Modelling of Composite Materials written by Andrej V. Cherkaev and published by Springer. This book was released on 2018-09-18 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This activity brings together a number of related themes, including: (1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "compensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result, it has received attention and support from numerous scientific communities, including engineering, materials science, and physics, as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circulating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate. The present, softcover reprint is designed to make this classic text available to a wider audience. "Summarizes some of the fundamental results achieved and offers new perspectives in the mechanics of composite and micromechanics... Will become a classic in the two fields." —Applied Mechanics Review

Download or read book Approximate Models of Mechanics of Composites written by Igor V. Andrianov and published by CRC Press. This book was released on 2023-06-20 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Provides analytical solutions based on a three-phase model for composites of various structures 2) Identifies computational models to solve problems within all applications of composite materials 3) Constructs higher approximations of the Maxwell formula 4) Proposes efficient analytical algorithms ensuring reliable computational analysis

Download or read book Mathematical Methods for the Natural and Engineering Sciences written by Ronald E Mickens and published by World Scientific Publishing Company. This book was released on 2016-12-29 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert–W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature. Request Inspection Copy

Download or read book Applied Mathematical Methods for Chemical Engineers Second Edition written by Norman W. Loney and published by CRC Press. This book was released on 2006-09-22 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers, Second Edition addresses the setup and verification of mathematical models using experimental or other independently derived data. An expanded and updated version of its well-respected predecessor, this book uses worked examples to illustrate several mathematical methods that are essential in successfully solving process engineering problems. The book first provides an introduction to differential equations that are common to chemical engineering, followed by examples of first-order and linear second-order ordinary differential equations (ODEs). Later chapters examine Sturm–Liouville problems, Fourier series, integrals, linear partial differential equations (PDEs), and regular perturbation. The author also focuses on examples of PDE applications as they relate to the various conservation laws practiced in chemical engineering. The book concludes with discussions of dimensional analysis and the scaling of boundary value problems and presents selected numerical methods and available software packages. New to the Second Edition · Two popular approaches to model development: shell balance and conservation law balance · One-dimensional rod model and a planar model of heat conduction in one direction · Systems of first-order ODEs · Numerical method of lines, using MATLAB® and Mathematica where appropriate This invaluable resource provides a crucial introduction to mathematical methods for engineering and helps in choosing a suitable software package for computer-based algebraic applications.

Download or read book Introduction to Composite Materials Design Second Edition written by Ever J. Barbero and published by CRC Press. This book was released on 2010-07-07 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a wealth of completely revised examples and new information, Introduction to Composite Materials Design, Second Edition greatly improves on the bestselling first edition. It incorporates state-of-the-art advances in knowledge and design methods that have taken place over the last 10 years, yet maintains the distinguishing features and vital content of the original. New material in this second edition: Introduces new background topics, including design for reliability and fracture mechanics Revises and updates information on polymer matrices, modern fibers (e.g., carbon nanotubes, Basalt, Vectran) and fiber forms such as textiles/fabrics Includes new information on Vacuum Assisted Resin Transfer Molding (VARTM) Incorporates major advances in prediction of unidirectional-lamina properties Reworks sections on material failure, including the most advanced prediction and design methodologies, such as in situ strength and Mohr-Coulomb criterion, etc. Covers all aspects of preliminary design, relegating finite element analysis to a separate textbook Discusses methodology used to perform damage mechanics analysis of laminated composites accounting for the main damage modes: longitudinal tension, longitudinal compression, transverse tension, in-plane shear, and transverse compression Presents in-depth analysis of composites reinforced with plain, twill, and satin weaves, as well as with random fiber reinforcements Expands the analysis of thin walled beams with newly developed examples and MATLAB® code Addresses external strengthening of reinforced-concrete beams, columns, and structural members subjected to both axial and bending loads The author distributes 78 fully developed examples throughout the book to illustrate the application of presented analysis techniques and design methodology, making this textbook ideally suited for self-study. Requiring no more than senior undergraduate-level understanding of math and mechanics, it remains an invaluable tool for students in the engineering disciplines, as well as for self-studying, practicing engineers.

Download or read book Essentials of Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2019-12-24 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.

Download or read book Mechanics of Laminated Composite Plates and Shells written by J. N. Reddy and published by CRC Press. This book was released on 2003-11-24 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.

Download or read book Analysis Design and Optimization of Composite Structures written by Alexander L. Kalamkarov and published by John Wiley & Sons. This book was released on 1997-07-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapidly varying material and geometrical characteristics of composite materials and structures do not allow the direct study of their mechanical behavior even with the use of modern computers. This book is devoted to the mechanical design and optimization problems of composite structures, based on the previously developed asymptotic homogenization models and on the newly elaborated rigorous mathematical methods. It describes how to construct mathematically rigorous mechanical models to determine strength, stiffness, and weight minimization requirements, all important factors of design and optimization.

Download or read book Mathematical Methods and Algorithms for Signal Processing written by Todd K. Moon and published by . This book was released on 2005-02-01 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Process Modeling in Composites Manufacturing written by Suresh G. Advani and published by CRC Press. This book was released on 2010-07-14 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a wealth of literature on modeling and simulation of polymer composite manufacturing processes. However, existing books neglect to provide a systematic explanation of how to formulate and apply science-based models in polymer composite manufacturing processes. Process Modeling in Composites Manufacturing, Second Edition provides tangible m

Download or read book Mathematics for Economics and Finance written by Martin Anthony and published by Cambridge University Press. This book was released on 2024-05-30 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their understanding.

Download or read book Computational Textile written by Xianyi Zeng and published by Springer. This book was released on 2007-05-04 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational techniques have been widely applied in the textile industry and garment industry since the 1950’s. This book surveys representative applications of computational techniques, including Textile quality assessment by image analysis; Modeling and simulation of textile structures, Computer aided garment design, Computerized textile management and textile Supply Chain, Textile quality subjective and objective evaluation; Computational thermal bioengineering of textiles and clothing; Computational biomechanical engineering of textiles and clothing.

Download or read book Mathematical Methods in Dynamical Systems written by S. Chakraverty and published by CRC Press. This book was released on 2023-05-19 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.