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Volume 9, Issue 1
XFEM for Fracture Analysis in 2D Anisotropic Elasticity

Honggang Jia, Yufeng Nie & Junlin Li

DOI: 10.4208/aamm.2015.m1143

Adv. Appl. Math. Mech., 9 (2017), pp. 125-143.

Published online: 2018-05

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  • Abstract

In this paper, a method is proposed for extracting fracture parameters in anisotropic thermoelasticity cracking via interaction integral method within the framework of extended finite element method (XFEM). The proposed method is applied to linear thermoelastic crack problems. The numerical results of the stress intensity factors (SIFs) are presented and compared with those reported in related references. The good agreement of the results obtained by the developed method with those obtained by other numerical solutions proves the applicability of the proposed approach and confirms its capability of efficiently extracting thermoelasticity fracture parameters in anisotropic materials.

  • Keywords

Anisotropic materials, thermoelasticity, crack, XFEM, stress intensity factors.

  • AMS Subject Headings

65M60, 74A45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-125, author = {Jia , HonggangNie , Yufeng and Li , Junlin}, title = {XFEM for Fracture Analysis in 2D Anisotropic Elasticity}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {1}, pages = {125--143}, abstract = {

In this paper, a method is proposed for extracting fracture parameters in anisotropic thermoelasticity cracking via interaction integral method within the framework of extended finite element method (XFEM). The proposed method is applied to linear thermoelastic crack problems. The numerical results of the stress intensity factors (SIFs) are presented and compared with those reported in related references. The good agreement of the results obtained by the developed method with those obtained by other numerical solutions proves the applicability of the proposed approach and confirms its capability of efficiently extracting thermoelasticity fracture parameters in anisotropic materials.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1143}, url = {http://global-sci.org/intro/article_detail/aamm/12140.html} }
TY - JOUR T1 - XFEM for Fracture Analysis in 2D Anisotropic Elasticity AU - Jia , Honggang AU - Nie , Yufeng AU - Li , Junlin JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 125 EP - 143 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1143 UR - https://global-sci.org/intro/article_detail/aamm/12140.html KW - Anisotropic materials, thermoelasticity, crack, XFEM, stress intensity factors. AB -

In this paper, a method is proposed for extracting fracture parameters in anisotropic thermoelasticity cracking via interaction integral method within the framework of extended finite element method (XFEM). The proposed method is applied to linear thermoelastic crack problems. The numerical results of the stress intensity factors (SIFs) are presented and compared with those reported in related references. The good agreement of the results obtained by the developed method with those obtained by other numerical solutions proves the applicability of the proposed approach and confirms its capability of efficiently extracting thermoelasticity fracture parameters in anisotropic materials.

Jia , HonggangNie , Yufeng and Li , Junlin. (2018). XFEM for Fracture Analysis in 2D Anisotropic Elasticity. Advances in Applied Mathematics and Mechanics. 9 (1). 125-143. doi:10.4208/aamm.2015.m1143
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