Stress analysis around crack tips in finite strain problems using the eXtended finite element method
By Grégory Legrain, Nicolas Moës, E. Verron. 2005
115 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/fc7352d20a2f51f5561839c214bb8a525752fe67
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Timon Rabczuk
- Pedro Areias
- D. Dias-da-Costa
- Ted Belytschko
- Stéphane P.A. Bordas
- Pedro P. Camanho
- Marc Duflot
- Nicolas Moës
In Mechanics of Materials
- Timon Rabczuk
- Stéphane P.A. Bordas
- Ted Belytschko
- Xiaoying Zhuang
- Marc Duflot
- Pedro Areias
- Goangseup Zi
- Hung Nguyen-Xuan
Citations in the corpus
- A stable 3D contact formulation using X-FEM (2007, background): “The main advantage of X-FEM in comparison to mesh-less methods is its easy implementation in a general finite element software, and its capacities to be applied to various fields: large transformations (Legrain et al., 2005), plasticity (Elguedj et al.”
- Finite strain fracture of 2D problems with injected anisotropic softening elements (2014, background): “[43]) by extended finite elements (XFEM) if neither contact nor cohesive forces are present.”
- A mixed augmented Lagrangian‐extended finite element method for modelling elastic–plastic fatigue crack growth with unilateral contact (2007, unknown): “Engng 2007; 71:1569–1597 DOI: 10.1002/nme In previous work (References [19, 20]) the method has shown its ability to obtain accurate results in confined plasticity for the J integral and the stress intensity factors with a relatively coarse mesh.”
- Element-wise fracture algorithm based on rotation of edges (2013, background): “[41]) by XFEM if neither contact nor cohesive forces are present.”
- The extended finite element method for fracture in composite materials (2009, background): “We might add that XFEM has a wide variety of applications, such as dynamic crack propagation [13, 14], dislocations [15, 16] and large strain fracture mechanics [17].”
- A posteriori error estimation for extended finite elements by an extended global recovery (2008, methodology): “Since their inception, these methods have been used very successfully to model a variety of fracture problems in two [6] and three dimensions [7–11], for cohesive cracks [12], crack branching [13], interface failure [14], geometrically non-linear materials [15], contact, plasticity and dynamics [16]”