Mathematical Methods And Models In Composites (Second Edition)

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Publisher : World Scientific
ISBN 13 : 1800611897
Total Pages : 731 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Mathematical Methods And Models In Composites (Second Edition) by : Vladislav Mantic

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.

Mathematical Methods And Models In Composites

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Publisher : World Scientific
ISBN 13 : 178326411X
Total Pages : 520 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Mathematical Methods And Models In Composites by : Vladislav Mantic

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.

Advances in Mathematical Modelling of Composite Materials

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Publisher : World Scientific
ISBN 13 : 9814502448
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advances in Mathematical Modelling of Composite Materials by : K Z Markov

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

Uncertainty Quantification Of Guided Wave Structural Health Monitoring For Aeronautical Composite Structures

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Publisher : World Scientific
ISBN 13 : 1800614713
Total Pages : 202 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Uncertainty Quantification Of Guided Wave Structural Health Monitoring For Aeronautical Composite Structures by : Nan Yue

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.

Topics in the Mathematical Modelling of Composite Materials

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Publisher : Springer
ISBN 13 : 3319971840
Total Pages : 317 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Topics in the Mathematical Modelling of Composite Materials by : Andrej V. Cherkaev

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

Approximate Models of Mechanics of Composites

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Publisher : CRC Press
ISBN 13 : 1000890309
Total Pages : 441 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Approximate Models of Mechanics of Composites by : Igor V. Andrianov

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 2024-06-20 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods for the Natural and Engineering Sciences

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813202726
Total Pages : 640 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Mathematical Methods for the Natural and Engineering Sciences by : Ronald E Mickens

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

Essentials of Mathematical Methods in Science and Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1119580234
Total Pages : 960 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Essentials of Mathematical Methods in Science and Engineering by : Selcuk S. Bayin

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 2019-11-27 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.

Mechanics of Laminated Composite Plates and Shells

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Publisher : CRC Press
ISBN 13 : 9780203502808
Total Pages : 864 pages
Book Rating : 4.5/5 (28 download)

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Book Synopsis Mechanics of Laminated Composite Plates and Shells by : J. N. Reddy

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.

Introduction to Composite Materials Design, Second Edition

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Publisher : CRC Press
ISBN 13 : 1420079158
Total Pages : 564 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Composite Materials Design, Second Edition by : Ever J. Barbero

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.

Analysis, Design and Optimization of Composite Structures

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Analysis, Design and Optimization of Composite Structures by : Alexander L. Kalamkarov

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.

Fundamentals of Composites Manufacturing, Second Edition

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Publisher : Society of Manufacturing Engineers
ISBN 13 : 0872638545
Total Pages : 642 pages
Book Rating : 4.8/5 (726 download)

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Book Synopsis Fundamentals of Composites Manufacturing, Second Edition by : A. Brent Strong

Download or read book Fundamentals of Composites Manufacturing, Second Edition written by A. Brent Strong and published by Society of Manufacturing Engineers. This book was released on 2008 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes advances, key information, case studies, and examples that can broaden your knowledge of composites materials and manufacturing methods. This text deals with composites manufacturing methods, providing tips for getting the best results that weigh the required material properties against cost and production efficiency. An Instructor's Guide is also available.

Applied Mathematics And Modeling For Chemical Engineers

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Publisher : John Wiley & Sons
ISBN 13 : 1118024729
Total Pages : 60 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Applied Mathematics And Modeling For Chemical Engineers by : Richard G. Rice

Download or read book Applied Mathematics And Modeling For Chemical Engineers written by Richard G. Rice and published by John Wiley & Sons. This book was released on 2012-10-16 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.

Computational Textile

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Publisher : Springer
ISBN 13 : 3540706585
Total Pages : 336 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Textile by : Xianyi Zeng

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 336 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.

Mathematical Methods in Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 1000833771
Total Pages : 393 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Mathematical Methods in Dynamical Systems by : S. Chakraverty

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.

Mathematical Methods for Physics and Engineering

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (73 download)

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Book Synopsis Mathematical Methods for Physics and Engineering by : Kenneth Franklin Riley

Download or read book Mathematical Methods for Physics and Engineering written by Kenneth Franklin Riley and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

FY .. Annual ILIR Report

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Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis FY .. Annual ILIR Report by : Naval Undersea Warfare Center (U.S.). In-House Laboratory Independent Research Program

Download or read book FY .. Annual ILIR Report written by Naval Undersea Warfare Center (U.S.). In-House Laboratory Independent Research Program and published by . This book was released on 1997 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: