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Titlebook: Mechanics of Generalized Continua; One Hundred Years Af Gérard A. Maugin,Andrei V. Metrikine Book 2010 Springer Science+Business Media, LLC

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书目名称Mechanics of Generalized Continua
副标题One Hundred Years Af
编辑Gérard A. Maugin,Andrei V. Metrikine
视频video
概述Showcases several areas of continuum mechanics that are outgrowths of the work of the Cosserat brothers.Focuses on recent developments in continuum mechanics and materials design, presenting several a
丛书名称Advances in Mechanics and Mathematics
图书封面Titlebook: Mechanics of Generalized Continua; One Hundred Years Af Gérard A. Maugin,Andrei V. Metrikine Book 2010 Springer Science+Business Media, LLC
描述.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. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodies with fractal structure, as well as other related topics...Mechanics of Generalized Continua. can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics..
出版日期Book 2010
关键词Contact Mechanics; Cosserats; Deformation Mechanics; Generalized Continua; Materials Science; Vibration; c
版次1
doihttps://doi.org/10.1007/978-1-4419-5695-8
isbn_softcover978-1-4614-2574-8
isbn_ebook978-1-4419-5695-8Series ISSN 1571-8689 Series E-ISSN 1876-9896
issn_series 1571-8689
copyrightSpringer Science+Business Media, LLC 2010
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Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Mediavia short-range forces and couples. We look at the necessary modifications of the original model for it to describe two unusual materials: nematic liquid crystals on the one hand and liquid-like granular materials on the other hand.
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Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffnessear isotropic Cosserat models leading to the so called conformal curvature case . where . is the Cosserat microrotation. Imposing bounded stiffness greatly facilitates the Cosserat parameter identification and allows a well-posed, stable determination of the one remaining length scale parameter .. a
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Measuring of Cosserat Effects and Reconstruction of Moduli Using Dispersive Waves rotational degrees of freedom leads to the appearance of additional shear and rotational waves; however, only at high frequencies corresponding to the wave lengths comparable to the microstructural sizes. Such waves are difficult to detect. Rotations also affect the conventional s-waves (shear-rota
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Natural Lagrangian Strain Measures of the Non-Linear Cosserat Continuumulting unique strain measures have several distinguishing features and are called the natural ones. They are expressed through the translation vector and either the rotation tensor or various finite rotation vector fields. The relation of the natural strain measures to those proposed in the represen
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Requirements on Periodic Micromorphic Mediaial involving additional degrees of freedom. Making use of an appropriate homogenization methodology, the present contribution compares deformation states predicted by the homogenization technique to the deformation state within a reference solution. The results indicate on what terms the predicted
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