A hybrid extended finite element/level set method for modeling phase transformations
By H. Ji, David L. Chopp, John Dolbow. 2002
174 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/f06a153d9c8549faffc4868e912330acdeb7db75
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
- Stéphane P.A. Bordas
- Ted Belytschko
- Natarajan Sukumar
- John Dolbow
- Nicolas Moës
- Marc Duflot
- David L. Chopp
- R. Gracie
In Computational Theory and Mathematics
- Ted Belytschko
- Nicolas Moës
- Giulio Ventura
- John Dolbow
- Natarajan Sukumar
- Stéphane P.A. Bordas
- Eric Béchet
- R. Gracie
In Mechanics of Materials
- Stéphane P.A. Bordas
- Ted Belytschko
- Marc Duflot
- Natarajan Sukumar
- Timon Rabczuk
- Carlos Armando Duarte
- John Dolbow
- Nicolas Moës
Citations in the corpus
- A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels (2005, background): “The basic concepts were later adapted to the simulation of evolving phase interfaces by Merle and Dolbow (2002), Ji et al. (2002) , and Chessa et al. (2002).”
- A combined extended finite element and level set method for biofilm growth (2008, methodology): “crack growth and solidification in [29,30,31,32,33,34,35] and was recently used for industrial damage tolerance analyses [36].”
- A robust Nitsche's formulation for interface problems with spline‐based finite elements (2015, background): “Pertinent applications range from modeling of dynamic crack propagation [1] to investigating phase transformation/solidification [2].”
- A review of extended/generalized finite element methods for material modeling (2009, methodology): “Ji et al [59] have proposed XFEM methods for phase transitions using the fast marching method; Hermitian polynomials were used for the dependent variable of the primary problem.”
- A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources (2006, methodology): “In this paper, two enrichment functions are used: a discontinuous, generalized Heaviside function or step function [17] and a continuous ramp function [5].”
- Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method (2003, methodology): “(3) The selection of nodes to be enriched and the computation of the enrichment functions for crack problems [39,35] or material interfaces [38,19] use the level set function(s).”