Mesh independent modelling of cracks by using higher order shape functions
By Endel Iarve. 2003
143 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b6afd2dc941d31f69bc95a231465eabe9aa40a28
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
- Ted Belytschko
- Timon Rabczuk
- Goangseup Zi
- Stéphane P.A. Bordas
- Thomas-Peter Fries
- Jeong‐Hoon Song
- Nicolas Moës
- Xiaoying Zhuang
In Mechanics of Materials
- Ted Belytschko
- Timon Rabczuk
- Stéphane P.A. Bordas
- Thomas-Peter Fries
- Goangseup Zi
- Lambertus J. Sluys
- Jeong‐Hoon Song
- Carlos Armando Duarte
Citations in the corpus
- The extended finite element method for dynamic fractures (2005, methodology): “Recently, It has been tried to use the approximated step functions representing the cracks to avoid the subdivision for the numerical integration [24,25].”
- Computational modeling of complex failure mechanisms in laminates (2012, methodology): “They have been applied in the context of matrix cracking using higher order shape functions by Iarve et al.(37) and Mollenhauer et al.”
- Combined extended and superimposed finite element method for cracks (2004, methodology): “In XFEM [2–5, 15], element quadrature has been implemented by creating subdomains on the both sides of the discontinuity; Iarve [16] has proposed a regularization for the integrands.”
- The extended/generalized finite element method: An overview of the method and its applications (2010, methodology): “Integration by equivalent polynomials An alternative approach for the quadrature of integrands with jumps or kinks inside elements is given by Iarve [100] and by Ventura [188] and does not require the decomposition of elements.”
- Studied X-FEM enrichment to handle material interfaces with higher order finite element (2010, background): “In [13,15,27] for example, high order X-FEM for straight cracks also reaches an optimal rate of convergence.”
- A phantom node formulation with mixed mode cohesive law for splitting in laminates (2009, methodology): “Another variant to XFEM has been applied in the context of splitting in composite laminates by Iarve (2003) and Mollenhauer et al. (2006).”
- Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery (2006, methodology): “Iarve [6] replaced the Heaviside step function with a higher order polynomial B-spline shape function approximation.”