scholarly journals A coupled molecular dynamics and extended finite element method for dynamic crack propagation

2009 ◽  
Vol 81 (1) ◽  
pp. 72-88 ◽  
Author(s):  
Pascal Aubertin ◽  
Julien Réthoré ◽  
René de Borst
Keyword(s):  
Finite Element Method ◽  
Molecular Dynamics ◽  
Finite Element ◽  
Crack Propagation ◽  
Extended Finite Element Method ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Extended Finite Element ◽  
Element Method

scholarly journals A molecular dynamics/extended finite element method for dynamic crack propagation

2008 ◽  
Vol 30 (4) ◽  
Author(s):  
Pascal Aubertin ◽  
Julien Réthoré ◽  
René De Borst
Keyword(s):  
Finite Element Method ◽  
Molecular Dynamics ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Coupled Model ◽  
Partition Of Unity ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Extended Finite Element ◽  
Element Method

A multiscale method is presented which couples a molecular dynamics approach for describing fracture at the crack tip with an extended finite element method for discretizing the remainder of the domain. After recalling the basic equations of molecular dynamics and continuum mechanics the discretization is discussed for the continuum subdomain where the partition-of-unity property of finite element shape functions is used, since in this fashion the crack in the wake of its tip is naturally modelled as a traction-free discontinuity. Next, the zonal coupling method between the atomistic and continuum models is described, including an assessment of the energy transfer between both domains for a one-dimensional problem. Finally, a two-dimensional computation is presented of dynamic fracture using the coupled model.

Dynamic crack propagation analysis based on the s-version of the finite element method

2020 ◽  
Vol 366 ◽  
pp. 113091
Author(s):  
Kota Kishi ◽  
Yuuki Takeoka ◽  
Tsutomu Fukui ◽  
Toshiyuki Matsumoto ◽  
Katsuyuki Suzuki ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
The Finite Element Method ◽  
Propagation Analysis ◽  
Element Method

Extended Finite Element Method for Crack Propagation

2013 ◽  
Author(s):  
Sylvie Pommier ◽  
Anthony Gravouil ◽  
Alain Combescure ◽  
Nicolas Moës
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Extended Finite Element Method ◽  
Extended Finite Element ◽  
Element Method
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