eXtended Finite Element Method (XFEM)

Name: eXtended Finite Element Method (XFEM)
Brand: VDM Verlag Dr. Müller
SKU: 9783639208788
Price: 48.35 EUR
Availability: InStock

Mathematical and Numerical Study for Cracked Domains Computations

Autor: Elie Chahine

Jazyk:

Väzba: Brožovaná

Vydavateľ: VDM Verlag Dr. Müller

Dostupnosť: U vydavateľa na objednávku

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48.35 €

When modeling cracked domains, the classical FEM shows many drawbacks. The eXtended Finite Element m...

Informácie o knihe

Autor

Elie Chahine

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

120

EAN

9783639208788

Enbook ID

06828825

Vydavateľ

VDM Verlag Dr. Müller

Hmotnosť

176

Rozmery

150 x 220 x 6

Kompletný popis

When modeling cracked domains, the classical FEM shows many drawbacks. The eXtended Finite Element method (XFEM) was introduced to overcome these difficulties. It allows modeling cracks and crack growth using a mesh independent of the crack path. Meanwhile, the optimal XFEM (with surface enrichment) is rather expensive. Also, the use of XFEM is limited to case where the singularity expansion at the crack tip is known. This work introduces XFEM variants that overcome these limitations and gives the first mathematical results for this type of methods. We introduce in the first part of this book, two XFEM variants (XFEM with a cutoff function and Integral Matching XFEM) allowing to obtain optimal convergence results for XFEM with a reduced computational cost. The second part presents two other XFEM methods (Spider XFEM and Reduced Basis XFEM) extending the application field of XFEM: they allow the use of XFEM when the singularity at the crack tip is partially or completely unknown, or even complicated. We prove the mathematical optimal convergence for these approaches and we perform numerical experiments validating the theoretical study.

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eXtended Finite Element Method (XFEM)

Mathematical and Numerical Study for Cracked Domains Computations

Informácie o knihe

Kompletný popis

Mohlo by vás zaujímať

Zákazníci, ktorí si kúpili túto knihu, kúpili tiež