Numerical Simulation of Crack Modeling using Extended Finite Element Method

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JOVIČIĆ, Gordana ;ŽIVKOVIĆ, Miroslav ;JOVIČIĆ, Nebojša .
Numerical Simulation of Crack Modeling using Extended Finite Element Method. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 55, n.9, p. 549-554, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/>. Date accessed: 21 sep. 2021. 
doi:http://dx.doi.org/.
Jovičić, G., Živković, M., & Jovičić, N.
(2009).
Numerical Simulation of Crack Modeling using Extended Finite Element Method.
Strojniški vestnik - Journal of Mechanical Engineering, 55(9), 549-554.
doi:http://dx.doi.org/
@article{.,
	author = {Gordana  Jovičić and Miroslav  Živković and Nebojša  Jovičić},
	title = {Numerical Simulation of Crack Modeling using Extended Finite Element Method},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {9},
	year = {2009},
	keywords = {extended finite element method; node enrichment; stress intensity factor; j-equivalen domain integral method; },
	abstract = {For numerical simulation of crack modeling in Fracture Mechanics the eXtended Finite Element Method (X-FEM) has recently been accepted as the new powerful and efficiency methodology. Following the new approach, a discontinuous function and the asymptotic crack-tip displacement functions are added to the conventional finite element approximation. This enables the domain to be modeled by finite elements with no explicit meshing of the crack faces. In the paper we present the details of implementation of the X-FEM algorithm in our in-house finite elements based software. Also, we investigated the impact of the node enrichment variations on results of the developed numerical procedure. In order to evaluate computational accuracy, numerical results for the Stress Intensity Factors (SIF) are compared with both theoretical and conventional finite element data. For the calculation of the Stress Intensity Factors, we used the J-Equivalent Domain Integral (J-EDI) Method. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed in detail. Obtained numerical results have shown a good agreement with benchmark solutions.},
	issn = {0039-2480},	pages = {549-554},	doi = {},
	url = {https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/}
}
Jovičić, G.,Živković, M.,Jovičić, N.
2009 August 55. Numerical Simulation of Crack Modeling using Extended Finite Element Method. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 55:9
%A Jovičić, Gordana 
%A Živković, Miroslav 
%A Jovičić, Nebojša 
%D 2009
%T Numerical Simulation of Crack Modeling using Extended Finite Element Method
%B 2009
%9 extended finite element method; node enrichment; stress intensity factor; j-equivalen domain integral method; 
%! Numerical Simulation of Crack Modeling using Extended Finite Element Method
%K extended finite element method; node enrichment; stress intensity factor; j-equivalen domain integral method; 
%X For numerical simulation of crack modeling in Fracture Mechanics the eXtended Finite Element Method (X-FEM) has recently been accepted as the new powerful and efficiency methodology. Following the new approach, a discontinuous function and the asymptotic crack-tip displacement functions are added to the conventional finite element approximation. This enables the domain to be modeled by finite elements with no explicit meshing of the crack faces. In the paper we present the details of implementation of the X-FEM algorithm in our in-house finite elements based software. Also, we investigated the impact of the node enrichment variations on results of the developed numerical procedure. In order to evaluate computational accuracy, numerical results for the Stress Intensity Factors (SIF) are compared with both theoretical and conventional finite element data. For the calculation of the Stress Intensity Factors, we used the J-Equivalent Domain Integral (J-EDI) Method. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed in detail. Obtained numerical results have shown a good agreement with benchmark solutions.
%U https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/
%0 Journal Article
%R 
%& 549
%P 6
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 55
%N 9
%@ 0039-2480
%8 2017-08-21
%7 2017-08-21
Jovičić, Gordana, Miroslav  Živković, & Nebojša  Jovičić.
"Numerical Simulation of Crack Modeling using Extended Finite Element Method." Strojniški vestnik - Journal of Mechanical Engineering [Online], 55.9 (2009): 549-554. Web.  21 Sep. 2021
TY  - JOUR
AU  - Jovičić, Gordana 
AU  - Živković, Miroslav 
AU  - Jovičić, Nebojša 
PY  - 2009
TI  - Numerical Simulation of Crack Modeling using Extended Finite Element Method
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - extended finite element method; node enrichment; stress intensity factor; j-equivalen domain integral method; 
N2  - For numerical simulation of crack modeling in Fracture Mechanics the eXtended Finite Element Method (X-FEM) has recently been accepted as the new powerful and efficiency methodology. Following the new approach, a discontinuous function and the asymptotic crack-tip displacement functions are added to the conventional finite element approximation. This enables the domain to be modeled by finite elements with no explicit meshing of the crack faces. In the paper we present the details of implementation of the X-FEM algorithm in our in-house finite elements based software. Also, we investigated the impact of the node enrichment variations on results of the developed numerical procedure. In order to evaluate computational accuracy, numerical results for the Stress Intensity Factors (SIF) are compared with both theoretical and conventional finite element data. For the calculation of the Stress Intensity Factors, we used the J-Equivalent Domain Integral (J-EDI) Method. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed in detail. Obtained numerical results have shown a good agreement with benchmark solutions.
UR  - https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/
@article{{}{.},
	author = {Jovičić, G., Živković, M., Jovičić, N.},
	title = {Numerical Simulation of Crack Modeling using Extended Finite Element Method},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {9},
	year = {2009},
	doi = {},
	url = {https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/}
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TY  - JOUR
AU  - Jovičić, Gordana 
AU  - Živković, Miroslav 
AU  - Jovičić, Nebojša 
PY  - 2017/08/21
TI  - Numerical Simulation of Crack Modeling using Extended Finite Element Method
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 55, No 9 (2009): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - extended finite element method, node enrichment, stress intensity factor, j-equivalen domain integral method, 
N2  - For numerical simulation of crack modeling in Fracture Mechanics the eXtended Finite Element Method (X-FEM) has recently been accepted as the new powerful and efficiency methodology. Following the new approach, a discontinuous function and the asymptotic crack-tip displacement functions are added to the conventional finite element approximation. This enables the domain to be modeled by finite elements with no explicit meshing of the crack faces. In the paper we present the details of implementation of the X-FEM algorithm in our in-house finite elements based software. Also, we investigated the impact of the node enrichment variations on results of the developed numerical procedure. In order to evaluate computational accuracy, numerical results for the Stress Intensity Factors (SIF) are compared with both theoretical and conventional finite element data. For the calculation of the Stress Intensity Factors, we used the J-Equivalent Domain Integral (J-EDI) Method. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed in detail. Obtained numerical results have shown a good agreement with benchmark solutions.
UR  - https://www.sv-jme.eu/article/numerical-simulation-of-crack-modeling-using-extended-finite-element-method/
Jovičić, Gordana, Živković, Miroslav, AND Jovičić, Nebojša.
"Numerical Simulation of Crack Modeling using Extended Finite Element Method" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 55 Number 9 (21 August 2017)

Authors

Affiliations

  • University of Kragujevac, Faculty of Mechanical Engineering, Serbia
  • University of Kragujevac, Faculty of Mechanical Engineering, Serbia
  • University of Kragujevac, Faculty of Mechanical Engineering, Serbia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 55(2009)9, 549-554

For numerical simulation of crack modeling in Fracture Mechanics the eXtended Finite Element Method (X-FEM) has recently been accepted as the new powerful and efficiency methodology. Following the new approach, a discontinuous function and the asymptotic crack-tip displacement functions are added to the conventional finite element approximation. This enables the domain to be modeled by finite elements with no explicit meshing of the crack faces. In the paper we present the details of implementation of the X-FEM algorithm in our in-house finite elements based software. Also, we investigated the impact of the node enrichment variations on results of the developed numerical procedure. In order to evaluate computational accuracy, numerical results for the Stress Intensity Factors (SIF) are compared with both theoretical and conventional finite element data. For the calculation of the Stress Intensity Factors, we used the J-Equivalent Domain Integral (J-EDI) Method. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed in detail. Obtained numerical results have shown a good agreement with benchmark solutions.

extended finite element method; node enrichment; stress intensity factor; j-equivalen domain integral method;