9781461415077 - singularities in elliptic boundary value problems and elasticity and their connection with failure initiation (interdisciplinary applied mathematics, 37, band 37) von yosibash, zohar (4 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2011
Serie: Buch 29 von 53 - Interdisciplinary Applied Mathematics
- Hardcover
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes KönigreichRia Christie Collections
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EUR 158,28
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Zustand: New. In.
Sprache: Englisch
Verlag: Springer New York, 2011
Serie: Buch 29 von 53 - Interdisciplinary Applied Mathematics
- Hardcover
Anbieter: moluna, Greven, Deutschlandmoluna
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Zustand: New.
Sprache: Englisch
Verlag: Springer, Springer, 2011
Serie: Buch 29 von 53 - Interdisciplinary Applied Mathematics
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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EUR 146,98
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This introductory and self-contained book gathers as much explicit mathematical results on the linear-elastic and heat-conduction solutions in the neighborhood of singular points in two-dimensional domains, and singular edges and vertices in three-dimension…al domains. These are presented in an engineering terminology for practical usage. The author treats the mathematical formulations from an engineering viewpoint and presents high-order finite-element methods for the computation of singular solutions in isotropic and anisotropic materials, and multi-material interfaces. The proper interpretation of the results in engineering practice is advocated, so that the computed data can be correlated to experimental observations. The book is divided into fourteen chapters, each containing several sections.Most of it (the first nine Chapters) addresses two-dimensional domains, whereonly singular points exist. The solution in a vicinity of these points admits an asymptotic expansion composed of eigenpairs and associated generalized flux/stress intensity factors (GFIFs/GSIFs), which are being computed analytically when possible or by finite element methods otherwise. Singular points associated with weakly coupled thermoelasticity in the vicinity of singularities are also addressed and thermal GSIFs are computed. The computed data is important in engineering practice for predicting failure initiation in brittle material on a daily basis. Several failure laws for two-dimensional domains with V-notches are presented and their validity is examined by comparison to experimental observations. A sufficient simple and reliable condition for predicting failure initiation (crack formation) in micron level electronic devices, involving singular points, isstill a topic of active research and interest, and is addressed herein. Explicit singular solutions in the vicinity of vertices and edges in three-dimensional domains are provided in the remaining five chapters. New methods for the computation of generalized edge flux/stress intensity functions along singular edges are presented and demonstrated by several example problems from the field of fracture mechanics; including anisotropic domains and bimaterial interfaces. Circular edges are also presented and the author concludes with some remarks on open questions.This well illustrated book will appeal to both applied mathematicians and engineers working in the field of fracture mechanics and singularities.
Sprache: Englisch
Verlag: Springer Verlag, 2011
Serie: Buch 29 von 53 - Interdisciplinary Applied Mathematics
- Hardcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
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EUR 261,96
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Hardcover. Zustand: Brand New. 2012 edition. 480 pages. 9.00x6.00x1.25 inches. In Stock.
