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Generalized Continua - from the Theory to Engineering Applications

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Release : 2012-10-17
Genre : Science
Kind : eBook
Book Rating : 717/5 ( reviews)

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Book Synopsis Generalized Continua - from the Theory to Engineering Applications by : Holm Altenbach

Download or read book Generalized Continua - from the Theory to Engineering Applications written by Holm Altenbach. This book was released on 2012-10-17. Available in PDF, EPUB and Kindle. Book excerpt: On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.

Mechanics of Generalized Continua

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Release : 2010-03-24
Genre : Mathematics
Kind : eBook
Book Rating : 956/5 ( reviews)

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Book Synopsis Mechanics of Generalized Continua by : Gérard A. Maugin

Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin. This book was released on 2010-03-24. Available in PDF, EPUB and Kindle. Book excerpt: In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Mechanics of Generalized Continua

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Release : 2012-03-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 203/5 ( reviews)

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Book Synopsis Mechanics of Generalized Continua by : Holm Altenbach

Download or read book Mechanics of Generalized Continua written by Holm Altenbach. This book was released on 2012-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Generalized Continuum Mechanics and Engineering Applications

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Release : 2015-10-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 672/5 ( reviews)

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Book Synopsis Generalized Continuum Mechanics and Engineering Applications by : Angela Madeo

Download or read book Generalized Continuum Mechanics and Engineering Applications written by Angela Madeo. This book was released on 2015-10-31. Available in PDF, EPUB and Kindle. Book excerpt: The new concept of metamaterial is increasingly attracting the interest of physicists and mechanical engineers. Such materials are obtained by suitably assembling multiple individual elements but usually arranged in (quasi-)periodic substructures in order to show exotic global mechanical properties. Indeed, the particular shape, geometry, size, orientation and arrangement of their constituting elements can affect, the propagation of waves of light or sound in a manner not observed in natural materials, creating material properties which may give rise to unexpected engineering applications. Particularly promising in the design and description of metamaterials are those micro-structures which present high contrasts in their mechanical properties: these micro-structures, once homogenized, may produce generalized continuum media, for example, second gradient or micromorphic. Many scientific challenges related to the application of generalized continuum theories to the characterization and conception of high-performance metamaterials can be identified. In this book we identify and discuss four main potential fields of applications of generalized continuum theories, namely, mechanical behavior of fibrous composite reinforcements, wave propagation in metamaterials, mechanical behavior of concrete and mechanically driven remodeling of bone in presence of bio-resorbable materials. For each field, we underline how the use of a generalized continuum theory can be of help for describing how the presence of microstructure can affect the global mechanical behavior of the considered metamaterials. Covers four main fields of the application of continuum theories Learn how to apply generalised continuum theory to describe the effects of microstructure on the mechanical behavior of materials Decipher the material properties which aid your engineering applications

Mathematical Applications in Continuum and Structural Mechanics

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Release : 2021-11-30
Genre : Technology & Engineering
Kind : eBook
Book Rating : 072/5 ( reviews)

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Book Synopsis Mathematical Applications in Continuum and Structural Mechanics by : Francesco Marmo

Download or read book Mathematical Applications in Continuum and Structural Mechanics written by Francesco Marmo. This book was released on 2021-11-30. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.

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