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Advances In Mathematical Modelling Of Composite Materials

1994-05-18 Mathematics
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Release : 1994-05-18
Genre : Mathematics
Kind : eBook
Book Rating : 448/5 ( reviews)

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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. This book was released on 1994-05-18. 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.

Advances in Mathematical Modelling of Composite Materials

1994 Technology & Engineering
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Release : 1994
Genre : Technology & Engineering
Kind : eBook
Book Rating : 443/5 ( reviews)

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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. This book was released on 1994. 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.

Topics in the Mathematical Modelling of Composite Materials

2018-09-18 Mathematics
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Release : 2018-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 840/5 ( reviews)

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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. This book was released on 2018-09-18. 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

Mathematical Methods And Models In Composites

2013-10-25 Technology & Engineering
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Release : 2013-10-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 11X/5 ( reviews)

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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. This book was released on 2013-10-25. 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

1997-01-01 Composite materials
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Release : 1997-01-01
Genre : Composite materials
Kind : eBook
Book Rating : 622/5 ( reviews)

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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. This book was released on 1997-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

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