Generalized Gaussian Quadrature Rules for Discontinuities and Crack Singularities in the Extended Finite Element Method
By S. Mousavi, Natarajan Sukumar. 2010
127 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/86e69d96ad15f3d2920a226d882ef4cfe7ed2617
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Konstantinos Agathos
- Eleni N. Chatzi
- D. Talaslidis
- Elena Benvenuti
- Stéphane P.A. Bordas
- Giulio Ventura
- Timon Rabczuk
- Xiaoying Zhuang
In Mechanics of Materials
- Konstantinos Agathos
- Eleni N. Chatzi
- D. Talaslidis
- Elena Benvenuti
- Stéphane P.A. Bordas
- Giulio Ventura
- Timon Rabczuk
- Marc Duflot
Citations in the corpus
- Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “Mousavi and Sukumar (2010a) generalized the Duffy transformation to integrate weakly singular integrands.”
- Equivalent polynomials for quadrature in Heaviside function enriched elements (2015, background): “The same path of reasoning was followed in [16], where the Authors map triangular/tetrahedral integration cells on the square/cube by a generalized Duffy transformation.”
- Extended finite element method with global enrichment (2015, methodology): “Other drawbacks of the method include blending problems between the enriched and the standard part of the approximation for which several solutions have been given [27,28,29,30,31,32] and problems in numerical integration which can be dealt with by using techniques such as element partitioning and s”