Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation

Idioma: inglés

Editorial: Springer, Springer Dez 2011, 2011

1461415071 / 9781461415077

Serie: Libro 29 de 53 - Interdisciplinary Applied Mathematics

Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -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-dimensional 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 associatedgeneralized 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 forpredicting failure initiation in brittlematerial on a daily basis. Several failure lawsfor two-dimensional domains with V-notches arepresented and their validity is examined by comparison to experimental observations.A sufficient simple and reliable condition for predicting failureinitiation (crack formation) in micron level electronic devices, involving singularpoints, 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 484 pp. Englisch.…

N° de ref. del artículo 9781461415077

Título
Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
Autor
Zohar Yosibash
Editorial
Springer, Springer Dez 2011
Año de publicación
2011
Estado
Neu
Encuadernación
Buch
Idioma
inglés
ISBN 10
1461415071
ISBN 13
9781461415077
Peso del artículo
887 gramos
Dimensiones
241x160x29 mm
Serie
Libro 29 de 53: Interdisciplinary Applied Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Alemania

Vendedor de 5 estrellas

Vendedor de IberLibro desde 23 de enero de 2017

Tarifas de envío de Alemania a Estados Unidos de America

ArtículoDe 60 a 60 días hábilesDe 60 a 60 días hábiles
Primer artículoEUR 60,00EUR 75,00
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Impressum Thorsten Retsch Buchversand Mimpf2000 Oberölschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir führen gebrauchte Bücher aus allen Sparten der Literatur

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