scholarly journals An extended finite element method for modeling crack growth with frictional contact

2001 ◽  
Vol 190 (51-52) ◽  
pp. 6825-6846 ◽  
Author(s):  
John Dolbow ◽  
Nicolas Moës ◽  
Ted Belytschko
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Frictional Contact ◽  
Extended Finite Element ◽  
Element Method

Analysis of Multi-Crack Growth in Asphalt Pavement Based on Extended Finite Element Method

2012 ◽  
Vol 588-589 ◽  
pp. 1926-1929
Author(s):  
Yu Zhou Sima ◽  
Fu Zhou Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Asphalt Pavement ◽  
Finite Element Approximation ◽  
Propagation Path ◽  
Element Approximation ◽  
Extended Finite Element ◽  
Element Method

An extended finite element method (XFEM) for multiple crack growth in asphalt pavement is described. A discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the finite element approximation to account for the crack using the notion of partition of unity. This enables the domain to be modeled by finite element with no explicit meshing of the crack surfaces. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed. Finally, the propagation path of the cracks in asphalt pavement under different load conditions is presented.

Study of Crack Growth Based on Extended Finite Element Method

2012 ◽  
Vol 446-449 ◽  
pp. 3639-3642
Author(s):  
Hui Xu ◽  
Feng Wang ◽  
Di Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Homogeneous Medium ◽  
Dynamic Crack ◽  
Extended Finite Element ◽  
Crack Penetration ◽  
Displacement Mode ◽  
Element Method

A special method based on the extended finite element method is developed for the simulation of dynamic crack growth. It shows great advantages in the simulations of moving crack and mixed mode crack. The extended finite element method for two-dimensional crack is described in this paper. The crack form of the extended finite element in the homogeneous medium is studied in detail, and the internal detail in crack tip element and crack penetration element is analyzed. At last, the displacement mode is generated.

scholarly journals Creep crack simulations using continuum damage mechanics and extended finite element method

2017 ◽  
Vol 28 (1) ◽  
pp. 3-34 ◽  
Author(s):  
VB Pandey ◽  
I V Singh ◽  
BK Mishra ◽  
S Ahmad ◽  
AV Rao ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Damage Mechanics ◽  
Extended Finite Element Method ◽  
Continuum Damage Mechanics ◽  
Continuum Damage ◽  
Extended Finite Element ◽  
Creep Crack ◽  
Element Method

In the present work, elasto-plastic creep crack growth simulations are performed using continuum damage mechanics and extended finite element method. Liu–Murakami creep damage model and explicit time integration scheme are used to evaluate the creep strain and damage variable for various materials at different temperatures. Compact tension and C-shaped tension specimens are selected for the simulation of crack growth analysis. For damage evaluation, both local and nonlocal approaches are employed. The accuracy of the extended finite element method solutions is checked by comparing with experimental results and finite element solutions. These results show that the extended finite element method requires a much coarser mesh to effectively model crack propagation. It is also shown that mesh independent results can be achieved by using nonlocal implementation.

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