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More Publisher: Springer; 1 edition

Language: english

ISBN: 3540723722

Paperback: 286 pages

Data: October 2006

Format: PDF

Description: Inhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by forces known in literature as material or configurational. This monograph presents a unified treatment of the theory using some of the tools of modern differential geometry. The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.). To make the text as useful as possible to active researchers and graduate students, considerable attention has been devoted to non-standard topics, such as second-grade materials, Cosserat media and functionally graded bodies.

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	Science/Engineering Material Inhomogeneities and their Evolution: A Geometric Approach Material Inhomogeneities and their Evolution: A Geometric ApproachSpringer \| ISBN 3540723722 \| 2007-10 \| PDF \| 256 pages \| 2.56 MBInhomogeneity theory is of importance for the description of a variety of material phenomena, including contin ...
	Collected Works of J. D. Eshelby: The Mechanics of Defects and Inhomogeneities (Solid Mechanics and Its Applications) Collected Works of J. D. Eshelby: The Mechanics of Defects and Inhomogeneities (Solid Mechanics and Its Applications)By Xanthippi Markenscoff, Anurag GuptaPublisher: Springer \| 940 pages \| 2006-08-18 \| ISBN: 140204416X \| DJVU \| 20.57 MBPr ...
	Science/Engineering Variational Principles of Continuum Mechanics: II. Applications (Interaction of Mechanics and Mathematics) Victor Berdichevsky, "Variational Principles of Continuum Mechanics: II. Applications (Interaction of Mechanics and Mathematics)" Springer \| 2009 \| ISBN: 3540884688 \| 430 pages \| PDF \| 2,3 MB The book reviews the two features of the varia ...
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	Mechanics of Material Forces (Advances in Mechanics and Mathematics) Mechanics of Material Forces (Advances in Mechanics and Mathematics)ISBN: 0387262601 Publisher: Springer Author: Description:This book covers new theoretical and numerical developments in the mechanics of material forces. Conceptually s ...
	Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics) Author: Frederic CaoPublisher: Springer (2003)Binding: Paperback, 187 pagespricer: $44.95ISBN-10: 3540004025editorialreviewsIn image processing, "motions by curvature" provide an efficient way to smooth curves representing the?boundaries of ...

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	Science/Engineering Material Inhomogeneities and their Evolution: A Geometric Approach Material Inhomogeneities and their Evolution: A Geometric ApproachSpringer \| ISBN 3540723722 \| 2007-10 \| PDF \| 256 pages \| 2.56 MBInhomogeneity theory is of importance for the description of a variety of material phenomena, including contin ...
	Collected Works of J. D. Eshelby: The Mechanics of Defects and Inhomogeneities (Solid Mechanics and Its Applications) Collected Works of J. D. Eshelby: The Mechanics of Defects and Inhomogeneities (Solid Mechanics and Its Applications)By Xanthippi Markenscoff, Anurag GuptaPublisher: Springer \| 940 pages \| 2006-08-18 \| ISBN: 140204416X \| DJVU \| 20.57 MBPr ...
	Science/Engineering Variational Principles of Continuum Mechanics: II. Applications (Interaction of Mechanics and Mathematics) Victor Berdichevsky, "Variational Principles of Continuum Mechanics: II. Applications (Interaction of Mechanics and Mathematics)" Springer \| 2009 \| ISBN: 3540884688 \| 430 pages \| PDF \| 2,3 MB The book reviews the two features of the varia ...
	Study Material Inhomogeneities and their Evolution: A Geometric Approach (Repost) Material Inhomogeneities and their Evolution: A Geometric Approach (Interaction of Mechanics and Mathematics) Publisher: Springer \| ISBN: 3540723722 \| edition 2007 \| PDF \| 275 pages \| 13 mbInhomogeneity theory is of importance for the desc ...
	Mechanics of Material Forces (Advances in Mechanics and Mathematics) Mechanics of Material Forces (Advances in Mechanics and Mathematics)ISBN: 0387262601 Publisher: Springer Author: Description:This book covers new theoretical and numerical developments in the mechanics of material forces. Conceptually s ...
	Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics) Author: Frederic CaoPublisher: Springer (2003)Binding: Paperback, 187 pagespricer: $44.95ISBN-10: 3540004025editorialreviewsIn image processing, "motions by curvature" provide an efficient way to smooth curves representing the?boundaries of ...

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