A multi-grid extended finite element method for elastic crack growth simulation

European Journal of Computational Mechanics ◽

10.3166/remn.16.161-182 ◽

2007 ◽

Vol 16 (2) ◽

pp. 161-182 ◽

Author(s):

Johann Rannou ◽

Anthony Gravouil ◽

Alain Combescure

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Growth Simulation ◽

Crack Growth Simulation ◽

Elastic Crack ◽

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Concurrent fatigue crack growth simulation using extended finite element method

Frontiers of Architecture and Civil Engineering in China ◽

10.1007/s11709-010-0078-2 ◽

2010 ◽

Vol 4 (3) ◽

pp. 339-347 ◽

Author(s):

Zizi Lu ◽

Yongming Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fatigue Crack ◽

Fatigue Crack Growth ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Growth Simulation ◽

Crack Growth Simulation ◽

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Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.08.013 ◽

2012 ◽

Vol 209-212 ◽

pp. 250-265 ◽

Author(s):

L. Chen ◽

T. Rabczuk ◽

S.P.A. Bordas ◽

G.R. Liu ◽

K.Y. Zeng ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Linear Elastic ◽

Strain Smoothing ◽

Elastic Crack ◽

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Using Extended Finite Element Method for Computation of the Stress Intensity Factor, Crack Growth Simulation and Predicting Fatigue Crack Growth in a Slant-Cracked Plate of 6061-T651 Aluminum

World Journal of Mechanics ◽

10.4236/wjm.2014.41003 ◽

2014 ◽

Vol 04 (01) ◽

pp. 24-30 ◽

Author(s):

Ehsan Hedayati ◽

Mohammad Vahedi

Keyword(s):

Finite Element Method ◽

Stress Intensity Factor ◽

Finite Element ◽

Fatigue Crack ◽

Stress Intensity ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Growth Simulation ◽

Crack Growth Simulation

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The numerical simulation of fatigue crack growth using extended finite element method

International Journal of Fatigue ◽

10.1016/j.ijfatigue.2011.08.010 ◽

2012 ◽

Vol 36 (1) ◽

pp. 109-119 ◽

Author(s):

I.V. Singh ◽

B.K. Mishra ◽

S. Bhattacharya ◽

R.U. Patil

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Fatigue Crack ◽

Fatigue Crack Growth ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

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Simulation of Plastic Fatigue Crack Growth by a Two Scale Extended Finite Element Method

Fracture of Nano and Engineering Materials and Structures ◽

10.1007/1-4020-4972-2_462 ◽

2008 ◽

pp. 933-934

Author(s):

A. Gravouil ◽

T. Elguedj ◽

A. Combescure

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fatigue Crack ◽

Fatigue Crack Growth ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

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Study of Crack Growth Based on Extended Finite Element Method

Advanced Materials Research ◽

10.4028/scientific5/amr.446-449.3639 ◽

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 ◽

Extended Finite Element ◽

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Modeling quasi-static crack growth with the extended finite element method Part II: Numerical applications

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2003.08.001 ◽

2003 ◽

Vol 40 (26) ◽

pp. 7539-7552 ◽

Author(s):

R. Huang ◽

N. Sukumar ◽

J.-H. Prévost

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Crack Growth ◽

Extended Finite Element Method ◽

Extended Finite Element ◽

Static Crack ◽

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Simulation of crack growth in reinforced concrete beams using extended finite element method

Engineering Failure Analysis ◽

10.1016/j.engfailanal.2020.104698 ◽

2020 ◽

Vol 116 ◽

pp. 104698

Author(s):

Adrian Faron ◽

Günter Axel Rombach

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reinforced Concrete ◽

Crack Growth ◽

Extended Finite Element Method ◽

Concrete Beams ◽

Reinforced Concrete Beams ◽

Extended Finite Element ◽

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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00260-2 ◽

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 ◽

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

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.588-589.1926 ◽

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 ◽

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.

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