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Material Inhomogeneities and their Evolution: A Geometric Approach (Interaction of Mechanics and Mathematics)

Epstein, Marcelo, Elzanowski, Marek

Editore: Springer, 2007
ISBN 10: 3540723722 / ISBN 13: 9783540723721
Usato / Quantità: 1
Da Nearfine Books (Brooklyn, NY, U.S.A.)
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Titolo: Material Inhomogeneities and their Evolution...

Casa editrice: Springer

Data di pubblicazione: 2007

Condizione libro: very good


Gently used. Expect delivery in 20 days. Codice inventario libreria 9783540723721-3

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Riassunto: With its origins in the theories of continuous distributions of dislocations and ofmetalplasticity,inhomogeneitytheoryisarichandvibrant?eldofresearch. The recognition of the important role played by con?gurational or material forces in phenomena such as growth and remodelling is perhaps its greatest present-day impetus. While some excellent comprehensive works approa- ing the subject from di?erent angles have been published, the objective of this monograph is to present a point of view that emphasizes the di?erenti- geometric aspects of inhomogeneity theory. In so doing, we follow the general lines of thought that we have propounded in many publications and presen- tions over the last two decades. Although based on these sources, this book is a stand-alone entity and contains some new results and perspectives. At the same time, it does not intend to present either a historical account of the - velopment of the subject or a comprehensive picture of the various schools of thought that can be encountered by perusing scholarly journals and attending specialized symposia. The book is divided into three parts, the ?rst of which is entirely devoted to the formulation of the theory in the absence of evolution. In other words, time is conspicuously absent from Part I. It opens with the geometric ch- acterization of material inhomogeneity within the context of simple bodies in Chapter 1, followed by extensions to second-grade and Cosserat media in Chapters 2 and 3.

Sinossi: Inhomogeneity theory is important for the description of a variety of material phenomena. This book covers the theory using some of the tools of modern differential geometry. It deals with the geometrical description of uniform bodies and their homogeneity (that is integrability) conditions.

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