Advances In Mathematical Modelling Of Composite Materials

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Advances in Mathematical Modelling of Composite Materials

Author : K Z Markov
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

Topics in the Mathematical Modelling of Composite Materials

Author : Andrej V. Cherkaev
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

Advances in Mathematical Modelling of Composite Materials

Author : Konstantin Z. Markov
Publisher : World Scientific
ISBN 13 : 9789810216443
Total Pages : 312 pages
Book Rating : 4.2/5 (164 download)

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

Download or read book Advances in Mathematical Modelling of Composite Materials written by Konstantin Z. Markov and published by World Scientific. This book was released on 1994 with total page 312 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.

Mathematical Methods And Models In Composites

Author : Vladislav Mantic
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.

Topics in the Mathematical Modelling of Composite Materials

Author : Andrej V. Čerkaev
Publisher :
ISBN 13 : 9783764336622
Total Pages : 317 pages
Book Rating : 4.3/5 (366 download)

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

Download or read book Topics in the Mathematical Modelling of Composite Materials written by Andrej V. Čerkaev and published by . This book was released on 1997-01-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Modeling and Experimental Methods for Materials and Structures

Author : Rivka Gilat
Publisher : Springer
ISBN 13 : 9789048134809
Total Pages : 342 pages
Book Rating : 4.1/5 (348 download)

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Book Synopsis Advances in Mathematical Modeling and Experimental Methods for Materials and Structures by : Rivka Gilat

Download or read book Advances in Mathematical Modeling and Experimental Methods for Materials and Structures written by Rivka Gilat and published by Springer. This book was released on 2010-04-18 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a collection of papers, written by leading authors in honor of Professor Jacob Aboudi. Jacob Aboudi served as Head of the Department of Solid Mechanics, Materials and Structures, as Dean of the Faculty of Engineering and as Incumbent of the Diane and Arthur Belfer Chair of Mechanics and Biomechanics. Aboudi has published more than 200 papers, 2 books and is a leading authority in the field of composite materials. The papers in this volume cover a wide spectrum of topics in the forefront of research in experimental methods and mathematical modeling of materials and structures. Subjects treated include developments in materials science, theoretical and applied mechanics, applied mathematics, applied physics, computational methods in engineering, mechanical and civil engineering. Both theoretical and experimental approaches are presented. As this book reflects the state of the art, possible engineering applications and future research directions are suggested.

Finite Element Analysis of Composite Materials

Author : Ever J. Barbero
Publisher : CRC Press
ISBN 13 : 1420054341
Total Pages : 352 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Finite Element Analysis of Composite Materials by : Ever J. Barbero

Download or read book Finite Element Analysis of Composite Materials written by Ever J. Barbero and published by CRC Press. This book was released on 2007-08-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing structures using composite materials poses unique challenges due especially to the need for concurrent design of both material and structure. Students are faced with two options: textbooks that teach the theory of advanced mechanics of composites, but lack computational examples of advanced analysis; and books on finite element analysis that may or may not demonstrate very limited applications to composites. But now there is third option that makes the other two obsolete: Ever J. Barbero's Finite Element Analysis of Composite Materials. By layering detailed theoretical and conceptual discussions with fully developed examples, this text supplies the missing link between theory and implementation. In-depth discussions cover all of the major aspects of advanced analysis, including three-dimensional effects, viscoelasticity, edge effects, elastic instability, damage, and delamination. More than 50 complete examples using mainly ANSYSTM, but also including some use of MATLAB®, demonstrate how to use the concepts to formulate and execute finite element analyses and how to interpret the results in engineering terms. Additionally, the source code for each example is available for download online. Cementing applied computational and analytical experience to a firm foundation of basic concepts and theory, Finite Element Analysis of Composite Materials offers a modern, practical, and versatile classroom tool for today's engineering classroom.

Advances in Mathematical Modeling and Experimental Methods for Materials and Structures

Author : Rivka Gilat
Publisher : Springer Science & Business Media
ISBN 13 : 9048134676
Total Pages : 329 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Advances in Mathematical Modeling and Experimental Methods for Materials and Structures by : Rivka Gilat

Download or read book Advances in Mathematical Modeling and Experimental Methods for Materials and Structures written by Rivka Gilat and published by Springer Science & Business Media. This book was released on 2009-12-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of cutting-edge papers, written by leading authors in honor of Professor Jacob Aboudi, covers a wide spectrum of topics in the field, presents both theoretical and experimental approaches, and suggests directions for possible future research.

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.

Mathematical Models and Methods for Smart Materials

Author : Mauro Fabrizio
Publisher : World Scientific
ISBN 13 : 9814487007
Total Pages : 396 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematical Models and Methods for Smart Materials by : Mauro Fabrizio

Download or read book Mathematical Models and Methods for Smart Materials written by Mauro Fabrizio and published by World Scientific. This book was released on 2002-12-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the conference on “Mathematical Models and Methods for Smart Materials”, held in Italy in 2001. The papers are divided into four parts: ”Methods in Materials Science” deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. ”Modelling of Smart Materials” is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. ”Well-Posedness in Materials with Memory” deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. ”Analytic Problems in Phase Transitions” discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition. Contents:Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra)Phase Relaxation Problems with Memory and Their Optimal Control (P Colli)Unified Dynamics of Particles and Photons (G Ferrarese)Solid–Solid Phase Transition in a Mechanical System (G Gilardi)KAM Methods for Nonautonomous Schrödinger Operators (S Graffi)Fractional Diffusion and Wave Equations (A Hanyga)Recovering a Memory Kernel in an Integrodifferential Stefan Problem (L Lorenzi)Balance Equations in Two-Fluid Models of Helium II (A Morro & M Fabrizio)A Non-Stationary Model in Superconductivity (R Nibbi & M Fabrizio)Some Remarks on the Conserved Penrose-Fife Phase Field Model with Memory Effects (E Rocca)Longterm Dynamics of a Conserved Phase-Field System with Memory (F M Vegni)and other papers Readership: Researchers and academics in mathematical modeling, mathematical physics, thermodynamics, low temperature physics and classical mechanics. Keywords:Materials with Fading Memory;Thermodynamics;PDE;Phase Transitions;Smart Materials

The Theory of Composites

Author : Graeme W. Milton
Publisher : SIAM
ISBN 13 : 1611977487
Total Pages : 761 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Theory of Composites by : Graeme W. Milton

Download or read book The Theory of Composites written by Graeme W. Milton and published by SIAM. This book was released on 2022-12-07 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.

Moisture Transport in Polymer Composite Materials

Author : J.M.P.Q. Delgado
Publisher : Springer Nature
ISBN 13 : 3030778266
Total Pages : 109 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Moisture Transport in Polymer Composite Materials by : J.M.P.Q. Delgado

Download or read book Moisture Transport in Polymer Composite Materials written by J.M.P.Q. Delgado and published by Springer Nature. This book was released on 2022-03-19 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides valuable information about fiber-reinforced polymer composites, with emphasis in the process of water absorption by experiments and simulation. In this monograph, we present and discuss emerging topics related to fundamentals, engineering applications, advanced mathematical modeling applied to Fickian and non-Fickian diffusion processes, analytical and computational procedures and experiments on water absorption of polymer composites reinforced by vegetable fibers. The book serves as a comprehensive learning tool for engineers, professionals, and researchers involved in this advanced interdisciplinary field, and as a reference work for both undergraduate and graduate courses.

Mathematical Models and Methods for Smart Material

Author : Mauro Fabrizio
Publisher : World Scientific
ISBN 13 : 9789812776273
Total Pages : 404 pages
Book Rating : 4.7/5 (762 download)

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Book Synopsis Mathematical Models and Methods for Smart Material by : Mauro Fabrizio

Download or read book Mathematical Models and Methods for Smart Material written by Mauro Fabrizio and published by World Scientific. This book was released on 2002 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.OCOModelling of Smart MaterialsOCO is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.OCOWell-Posedness in Materials with MemoryOCO deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.OCOAnalytic Problems in Phase TransitionsOCO discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition."

Manufacturing Processes for Advanced Composites

Author : Flake C Campbell Jr
Publisher : Elsevier
ISBN 13 : 0080510981
Total Pages : 532 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Manufacturing Processes for Advanced Composites by : Flake C Campbell Jr

Download or read book Manufacturing Processes for Advanced Composites written by Flake C Campbell Jr and published by Elsevier. This book was released on 2003-12-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: • One of very few books available to cover this subject area. • A practical book with a wealth of detail. This book covers the major manufacturing processes for polymer matrix composites with an emphasis on continuous fibre-reinforced composites. It covers the major fabrication processes in detail. Very few books cover the details of fabrication and assembly processes for composites. This book is intended for the engineer who wants to learn more about composite processing: any one with some experience in composites should be able to read it. The author, who has 34 years experience in the aerospace industry, has intentionally left out mathematical models for processes so the book will be readable by the general engineer. It differs from other books on composites manufacturing in focussing almost solely on manufacturing processes, while not attempting to cover materials, test methods, mechanical properties and other areas of composites.

Finite Element Analysis of Composite Materials using AbaqusTM

Author : Ever J. Barbero
Publisher : CRC Press
ISBN 13 : 1466516631
Total Pages : 444 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Finite Element Analysis of Composite Materials using AbaqusTM by : Ever J. Barbero

Download or read book Finite Element Analysis of Composite Materials using AbaqusTM written by Ever J. Barbero and published by CRC Press. This book was released on 2013-04-18 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's graduate-level course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with Abaqus shows how powerful finite element tools address practical problems in the structural analysis of composites. Unlike other texts, this one takes the theory to a hands-on level by actually solving

Mathematical Models and Methods of Localized Interaction Theory

Author : Abram I. Bunimovich
Publisher : World Scientific
ISBN 13 : 9789810217433
Total Pages : 254 pages
Book Rating : 4.2/5 (174 download)

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Book Synopsis Mathematical Models and Methods of Localized Interaction Theory by : Abram I. Bunimovich

Download or read book Mathematical Models and Methods of Localized Interaction Theory written by Abram I. Bunimovich and published by World Scientific. This book was released on 1995 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of the environment with a moving body is called ?localized? if it has been found or assumed that the force or/and thermal influence of the environment on each body surface point is independent and can be determined by the local geometrical and kinematical characteristics of this point as well as by the parameters of the environment and body?environment interactions which are the same for the whole surface of contact.Such models are widespread in aerodynamics and gas dynamics, covering supersonic and hypersonic flows, and rarefied gas flows. They describe the influence of light on a body, and are used for modelling penetration of solids into metals and soils, etc.Localized Interaction Theory (LIT) studies various theoretical and applied problems using the most general description of the influence of the environment on the body. This makes it possible to integrate results obtained from different models and to create new universal methods that can be used for various conditions, even if the description of the real interaction model is unknown. Such a unified approach to the problems of analysis, calculation and optimization of the integral characteristics of bodies moving in different media is the main content of this book which is the first monograph on this subject. Many applications, chiefly in aerodynamics and space engineering are presented.

Advanced Mechanics of Composite Materials

Author : Valery Vasiliev
Publisher : Elsevier
ISBN 13 : 9780080488172
Total Pages : 504 pages
Book Rating : 4.4/5 (881 download)

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Book Synopsis Advanced Mechanics of Composite Materials by : Valery Vasiliev

Download or read book Advanced Mechanics of Composite Materials written by Valery Vasiliev and published by Elsevier. This book was released on 2007-05-16 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials have been representing most significant breakthroughs in various industrial applications, particularly in aerospace structures, during the past thirty five years. The primary goal of Advanced Mechanics of Composite Materials is the combined presentation of advanced mechanics, manufacturing technology, and analysis of composite materials. This approach lets the engineer take into account the essential mechanical properties of the material itself and special features of practical implementation, including manufacturing technology, experimental results, and design characteristics. Giving complete coverage of the topic: from basics and fundamentals to the advanced analysis including practical design and engineering applications. At the same time including a detailed and comprehensive coverage of the contemporary theoretical models at the micro- and macro- levels of material structure, practical methods and approaches, experimental results, and optimisation of composite material properties and component performance. The authors present the results of more than 30 year practical experience in the field of design and analysis of composite materials and structures. * Eight chapters progressively covering all structural levels of composite materials from their components through elementary plies and layers to laminates * Detailed presentation of advanced mechanics of composite materials * Emphasis on nonlinear material models (elasticity, plasticity, creep) and structural nonlinearity