Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation
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 en...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2012. |
| Series: | Interdisciplinary Applied Mathematics
37 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation, Zohar Yosibash, New York, NY, Springer, 2012, 1 vol. (XXI- 459 p.), Interdisciplinary applied mathematics, 978-1-4614-1507-7 • Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation, Zohar Yosibash, New York, NY, Springer, 2012, 1 vol. (XXI- 459 p.), Interdisciplinary applied mathematics, 978-1-4614-1507-7 • Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation, Texte imprimé, 9781489995100 • Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation, Texte imprimé, 9781461415091 • Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation, Zohar Yosibash, New York, NY, Springer, 2012, 1 vol. (XXI- 459 p.), Interdisciplinary applied mathematics, 978-1-4614-1507-7 • Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation, Texte imprimé, 9781489995100 • Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation, Texte imprimé, 9781461415091 |
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| 100 | 1 | |a Yosibash, Zohar. | |
| 245 | 1 | 0 | |a Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation |c Zohar Yosibash. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Interdisciplinary Applied Mathematics |v 37 |x 2196-9973 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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, where only 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 materials 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, is still 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 | ||
| 650 | |a Problèmes aux limites | ||
| 650 | |a Mathématiques de l'ingénieur | ||
| 650 | |a Singularités (mathématiques) | ||
| 776 | 0 | |0 160449502 |t Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation |f Zohar Yosibash |c New York, NY |n Springer |d 2012 |p 1 vol. (XXI- 459 p.) |s Interdisciplinary applied mathematics |z 978-1-4614-1507-7 | |
| 776 | 0 | |0 160449502 |t Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation |f Zohar Yosibash |c New York, NY |n Springer |d 2012 |p 1 vol. (XXI- 459 p.) |s Interdisciplinary applied mathematics |z 978-1-4614-1507-7 | |
| 776 | 0 | |t Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation |b Texte imprimé |z 9781489995100 | |
| 776 | 0 | |t Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation |b Texte imprimé |z 9781461415091 | |
| 776 | 0 | |0 160449502 |t Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation |f Zohar Yosibash |c New York, NY |n Springer |d 2012 |p 1 vol. (XXI- 459 p.) |s Interdisciplinary applied mathematics |z 978-1-4614-1507-7 | |
| 776 | 0 | |t Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation |b Texte imprimé |z 9781489995100 | |
| 776 | 0 | |t Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation |b Texte imprimé |z 9781461415091 | |
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