Some Self-consistent Methods in the Mechanics of Composite Materials

Some Self-consistent Methods in the Mechanics of Composite Materials

Author:

Publisher: UNAM

Published:

Total Pages: 100

ISBN-13:

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Download or read book Some Self-consistent Methods in the Mechanics of Composite Materials written by and published by UNAM. This book was released on with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Some Self-consistent Methods in the Mechanics of Composite Materials

Some Self-consistent Methods in the Mechanics of Composite Materials

Author: Valery M. Levin

Publisher:

Published: 2002

Total Pages: 89

ISBN-13:

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Book Synopsis Some Self-consistent Methods in the Mechanics of Composite Materials by : Valery M. Levin

Download or read book Some Self-consistent Methods in the Mechanics of Composite Materials written by Valery M. Levin and published by . This book was released on 2002 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Self-consistent Methods in Mechanics of Composite Materials

The Self-consistent Methods in Mechanics of Composite Materials

Author: Valery M. Levin

Publisher:

Published: 1999

Total Pages: 89

ISBN-13:

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Book Synopsis The Self-consistent Methods in Mechanics of Composite Materials by : Valery M. Levin

Download or read book The Self-consistent Methods in Mechanics of Composite Materials written by Valery M. Levin and published by . This book was released on 1999 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Self-Consistent Methods for Composites

Self-Consistent Methods for Composites

Author: S.K. Kanaun

Publisher: Springer Science & Business Media

Published: 2007-12-20

Total Pages: 390

ISBN-13: 1402066643

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This timely text is the first monograph to develop self-consistent methods and apply these to the solution of problems of electromagnetic and elastic wave propagation in matrix composites and polycrystals. Predictions are compared with experimental data and exact solutions. Explicit equations and efficient numerical algorithms for calculating the velocities and attenuation coefficients of the mean (coherent) wave fields propagating in composites and polycrystals are presented.


Book Synopsis Self-Consistent Methods for Composites by : S.K. Kanaun

Download or read book Self-Consistent Methods for Composites written by S.K. Kanaun and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely text is the first monograph to develop self-consistent methods and apply these to the solution of problems of electromagnetic and elastic wave propagation in matrix composites and polycrystals. Predictions are compared with experimental data and exact solutions. Explicit equations and efficient numerical algorithms for calculating the velocities and attenuation coefficients of the mean (coherent) wave fields propagating in composites and polycrystals are presented.


Self-Consistent Methods for Composites

Self-Consistent Methods for Composites

Author: S.K. Kanaun

Publisher: Springer

Published: 2008-07-15

Total Pages: 0

ISBN-13: 9781402069673

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This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. The book contains many concrete results.


Book Synopsis Self-Consistent Methods for Composites by : S.K. Kanaun

Download or read book Self-Consistent Methods for Composites written by S.K. Kanaun and published by Springer. This book was released on 2008-07-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. The book contains many concrete results.


Self-Consistent Methods for Composites

Self-Consistent Methods for Composites

Author: S.K. Kanaun

Publisher: Springer Science & Business Media

Published: 2008-05-20

Total Pages: 311

ISBN-13: 1402069685

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This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. The book contains many concrete results.


Book Synopsis Self-Consistent Methods for Composites by : S.K. Kanaun

Download or read book Self-Consistent Methods for Composites written by S.K. Kanaun and published by Springer Science & Business Media. This book was released on 2008-05-20 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. The book contains many concrete results.


Micromechanics of Composite Materials

Micromechanics of Composite Materials

Author: George Dvorak

Publisher: Springer Science & Business Media

Published: 2012-12-09

Total Pages: 455

ISBN-13: 9400741014

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This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale. Many new results and methods developed by the author are incorporated into the rich fabric of the subject, which has developed from the work of many researchers over the last 50 years. Among the new results, the book offers an extensive analysis of internal and interface stresses caused by eigenstrains, such as thermal, transformation and inelastic strains in the constituents, which often exceed those caused by mechanical loads, and of inelastic behavior of metal matrix composites. Fiber prestress in laminates, and modeling of functionally graded materials are also analyzed. Furthermore, this book outlines several key subjects on modeling the properties of composites reinforced by particles of various shapes, aligned fibers, symmetric laminated plates and metal matrix composites. This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures.


Book Synopsis Micromechanics of Composite Materials by : George Dvorak

Download or read book Micromechanics of Composite Materials written by George Dvorak and published by Springer Science & Business Media. This book was released on 2012-12-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale. Many new results and methods developed by the author are incorporated into the rich fabric of the subject, which has developed from the work of many researchers over the last 50 years. Among the new results, the book offers an extensive analysis of internal and interface stresses caused by eigenstrains, such as thermal, transformation and inelastic strains in the constituents, which often exceed those caused by mechanical loads, and of inelastic behavior of metal matrix composites. Fiber prestress in laminates, and modeling of functionally graded materials are also analyzed. Furthermore, this book outlines several key subjects on modeling the properties of composites reinforced by particles of various shapes, aligned fibers, symmetric laminated plates and metal matrix composites. This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures.


Approximate Models of Mechanics of Composites

Approximate Models of Mechanics of Composites

Author: Igor V. Andrianov

Publisher: CRC Press

Published: 2024-06-20

Total Pages: 441

ISBN-13: 1000890309

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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.


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.


Mechanics of Composite Materials

Mechanics of Composite Materials

Author: Jacob Aboudi

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 341

ISBN-13: 1483290999

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In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.


Book Synopsis Mechanics of Composite Materials by : Jacob Aboudi

Download or read book Mechanics of Composite Materials written by Jacob Aboudi and published by Elsevier. This book was released on 2013-10-22 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.


Advances In Mathematical Modelling Of Composite Materials

Advances In Mathematical Modelling Of Composite Materials

Author: K P Herrmann

Publisher: World Scientific

Published: 1994-05-18

Total Pages: 305

ISBN-13: 9814502448

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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.


Book Synopsis Advances In Mathematical Modelling Of Composite Materials by : K P Herrmann

Download or read book Advances In Mathematical Modelling Of Composite Materials written by K P Herrmann and published by World Scientific. This book was released on 1994-05-18 with total page 305 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.