Download or read book Asymptotical Mechanics of Composites written by Igor V. Andrianov and published by Springer. This book was released on 2017-11-09 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Download or read book Asymptotical Mechanics of Thin Walled Structures written by Igor V. Andrianov and published by Springer Science & Business Media. This book was released on 2004-01-12 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Download or read book Mechanics of Composite Materials written by Autar K. Kaw and published by CRC Press. This book was released on 1997-05-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's composite materials often outshine traditional materials; they are lightweight, corrosion-resistant, and strong. Used in everything from aircraft structures to golf clubs, and serving industries from medicine to space exploration, composites are an exciting field of study for students, engineers, and researchers around the world. New applications of these versatile materials are being found daily. This innovative book provides a complete introduction to the mechanical behavior of composites. Geared to upper-level and graduate students, or practicing engineers and scientists interested in updating their knowledge, Mechanics of Composite Materials is a new approach to the topic. Unlike old-style texts, this book introduces the basics of composites through frequently asked questions the author answers from his considerable experience as a professor and researcher in the field. The text is supplemented by user-friendly PROMAL software, which allows readers to conduct studies, compare theories, design structures, and quickly access the information in tables and graphs. Richly illustrated and filled with problems, reviews, and examples, this is an excellent assessment of an exciting field.

Download or read book Mechanics Of Composite Structures written by V.V. Vasiliev and published by CRC Press. This book was released on 2017-10-05 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles techniques used to analyze composite structural elements ranging from beams through plates to stiffened shells. The content is suitable for graduate-level students with a basic background in mechanics of composite materials. Moreover, this book will be placed in an active spot on the bookshelves of composite structures designers as well as researchers.

Download or read book Mechanics of Composite Materials and Structures written by Carlos A. Mota Soares and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact presentation of the foundations, current state of the art, recent developments and research directions of all essential techniques related to the mechanics of composite materials and structures. Special emphasis is placed on classic and recently developed theories of composite laminated beams, plates and shells, micromechanics, impact and damage analysis, mechanics of textile structural composites, high strain rate testing and non-destructive testing of composite materials and structures. Topics of growing importance are addressed, such as: numerical methods and optimisation, identification and damage monitoring. The latest results are presented on the art of modelling smart composites, optimal design with advanced materials, and industrial applications. Each section of the book is written by internationally recognised experts who have dedicated most of their research work to a particular field. Readership: Postgraduate students, researchers and engineers in the field of composites. Undergraduate students will benefit from the treatment of the foundations of the mechanics of composite materials and structures.

Download or read book Nonlinear Mechanics for Composite Heterogeneous Structures written by Georgios A. Drosopoulos and published by CRC Press. This book was released on 2022-04-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Download or read book Stressed Composite Structures written by A.G. Kolpakov and published by Springer Science & Business Media. This book was released on 2012-11-08 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mechanics of structures with initial stresses is a traditional part of structural mechanics. It is closely related to the important problem of stability of structures. The basic concepts of elastic stability of structures go back to works by Euler (1759) and Bryan (1889). Later, it was found that the problem of deformation of solids with initial stresses is related to variational principles and nonlinear problems in elasticity; see Trefftz (1933), Marguerre (1938), Prager (1947), Hill (1958), Washuzu (1982). Historical detail up to the 1940s can be found in the book by Timoshenko (1953). Observing the basic concepts of the traditional mechanics of stressed structures, we agree that these are suitable for uniform structural elements (plates, beams, and so on) made of homogeneous materials, but not for complex structures (such as a network plate or a lattice mast) or structures made of composite materials (such as fiber reinforced or textile materials). Many concepts of the classical theory, such as a cross section or neutral plane (axis), correspond to no mechanical objects if we consider an inhomogeneous structure. As a result, we come to the conclusion that it would be useful to have a theory of thin inhomogeneous structures developed on the basis of 3-D elasticity theory with no simplifying assumptions (with no a priori hypothesis).

Download or read book Mechanics of Composite Materials written by G. P. Sendeckyj and published by Elsevier. This book was released on 2016-06-03 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite Materials, Volume 2: Mechanics of Composite Materials deals with the prediction of the deformation behavior and strength of composite materials. The book discusses the basic concepts in micromechanics, definition of effective moduli, and the influence of the number of fibers through-the-thickness within a single composite layer on the effective properties. The text also describes the exact moduli of anisotropie laminates; the elastic behavior of composites; and the viscoelastic behavior and analysis of composite materials. The elastoplastic behavior of composites, and the application of statistical theories for the determination of thermal, electrical, and magnetic properties of heterogeneous materials are also considered. The book further tackles the finite deformations of ideal fiber-reinforced composites; wave propagation and vibrations in directionally reinforced composites; and the phenomenological anisotropie failure criterion. The text also looks into the photoelastic investigation of composites. Civil engineers, mechanical engineers, aerospace engineers, and people involved in the study of non-metallic materials will find the book invaluable.

Download or read book Homogenisation Averaging Processes in Periodic Media written by N.S. Bakhvalov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, .... si j'avait su comment en revenir, One service mathematics has rendered the je n'y semis point all,,: human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent: therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non !inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Download or read book Capacity and Transport in Contrast Composite Structures written by A. A. Kolpakov and published by CRC Press. This book was released on 2009-11-24 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is it possible to apply a network model to composites with conical inclusions? How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications answers questions such as these and presents new and modified asymptotic methods for real-world applications in composite materials development. A mathematical discussion of phenomena related to natural sciences and engineering, this book covers historical developments and new progress in mathematical calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations. The "transport problem"—which is described with scalar linear elliptic equations—implies problems of thermoconductivity, diffusion, and electrostatics. To address this "problem," the authors cover asymptotic analysis of partial differential equations, material science, and the analysis of effective properties of electroceramics. Providing numerical calculations of modern composite materials that take into account nonlinear effects, the book also: Presents results of numerical analysis, demonstrating specific properties of distributions of local fields in high-contrast composite structures and systems of closely placed bodies Assesses whether total flux, energy, and capacity exhaust characteristics of the original continuum model Illustrates the expansion of the method for systems of bodies to highly filled contrast composites This text addresses the problem of loss of high-contrast composites, as well as transport and elastic properties of thin layers that cover or join solid bodies. The material presented will be particularly useful for applied mathematicians interested in new methods, and engineers dealing with prospective materials and design methods.

Download or read book Mechanics of Composite Structures written by László P. Kollár and published by Cambridge University Press. This book was released on 2003-02-17 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increase in the use of composite materials has led to a greater demand for engineers versed in the design of structures made from such materials. This book demonstrates advanced concepts and emphasises structures. More than 300 illustrations, 50 fully worked problems, and material properties data sets are included.

Download or read book Mechanics of Composite Materials written by F. W. Wendt and published by Elsevier. This book was released on 2013-10-22 with total page 903 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Composite Materials contains the proceedings of the Fifth Symposium on Naval Structural Mechanics held in Philadelphia, Pennsylvania, on May 8-10, 1967. The papers explore the mechanics of composite materials for naval applications. The structural requirements of a system and the fundamental mechanical properties of composite materials, as well as the behavior of such materials under various environmental conditions, are discussed. This book is comprised of 40 chapters and begins with an analysis of missile and aircraft systems constraints and operational requirements, along with ship systems constraints and operational requirements, for composite materials. The following chapters focus on structural uses of composites, particularly in naval ships, aircraft, re-entry vehicles, and space vehicle structures; and the micromechanics, structural mechanics, and failure mechanics of composite materials. Problems in the design of joints and attachments are considered, along with the stability of pre-strained laminated media; environmental factors in the design of composite materials; and the effect of water on glass-reinforced plastics. This monograph will be a useful resource for scientists and engineers who are particularly concerned with the mechanics of composite materials.

Download or read book Principles of Composite Material Mechanics Second Edition written by Ronald F. Gibson and published by CRC Press. This book was released on 2007-05-30 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively updated and maintaining the high standard of the popular original, Principles of Composite Material Mechanics, Second Edition reflects many of the recent developments in the mechanics of composite materials. It draws on the decades of teaching and research experience of the author and the course material of the senior undergraduate and graduate level classes he has taught. New and up-to-date information throughout the text brings modern engineering students everything they need to advance their knowledge of the evermore common composite materials. The introduction strengthens the book’s emphasis on basic principles of mechanics by adding a review of the basic mechanics of materials equations. New appendices cover the derivations of stress equilibrium equations and the strain–displacement relations from elasticity theory. Additional sections address recent applications of composite mechanics to nanocomposites, composite grid structures, and composite sandwich structures. More detailed discussion of elasticity and finite element models have been included along with results from the recent World Wide Failure Exercise. The author takes a phenomenological approach to illustrate linear viscoelastic behavior of composites. Updated information on the nature of fracture and composite testing includes coverage of the finite element implementation of the Virtual Crack Closure technique and new and revised ASTM standard test methods. The author includes updated and expanded material property tables, many more example problems and homework exercises, as well as new reference citings throughout the text. Requiring a solid foundation in materials mechanics, engineering, linear algebra, and differential equations, Principles of Composite Materials Mechanics, Second Edition provides the advanced knowledge in composite materials needed by today’s materials scientists and engineers.

Download or read book Mechanics of Composites written by Ivan Filippovich Obrazt︠s︡ov and published by . This book was released on 1982 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mechanics of Composite Materials 1983 written by American Society of Mechanical Engineers. Winter Meeting and published by . This book was released on 1983 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.