An interaction integral method for calculating heat flux intensity factor with the XFEM

被引：9

作者：

Deng, Huachao ^{[1
]}

Yan, Bo ^{[1
]}

Su, Honghong ^{[2
]}

Zhang, Xiaomin ^{[1
]}

Lv, Xin ^{[3
]}

机构：

[1] Chongqing Univ, Coll Aerosp Engn, Chongqing 400044, Peoples R China

[2] Tsinghua Univ, Ctr Mech & Mat, Beijing 100084, Peoples R China

[3] Chongqing Univ, Coll Civil Engn, Chongqing 400044, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2019年 / 136卷

基金：

中国国家自然科学基金;

关键词：

J(T) integral; HFIF; Path-independence; Interaction integral; XFEM; STATE THERMAL CONDUCTION; FINITE-ELEMENT-METHOD; PIEZOELECTRIC MATERIALS; NUMERICAL-ANALYSIS; SINGULARITIES; CRACK; SIMULATION; COMPUTATION; SOLIDS;

D O I：

10.1016/j.ijthermalsci.2018.09.022

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The J(T) integral is defined to extract the heat flux intensity factor (HFIF), which is used to describe the singularity of heat flux near the tip of a crack, and the path-independence of the J(T) integral is theoretically proven. Based on the J(T) integral, the relationship between the HFIF and an interaction integral is established through introducing auxiliary field function. The extended finite element method (XFEM), which enriches the standard finite element approximation by additional functions, is utilized to solve the temperature field of a cracked structure under specified thermal boundary condition. Numerical examples of cracked plates respectively with an edge crack and a center crack are used to verify the presented method, and the method is also used to investigate the HFIF near the tip of an inclined crack and the interaction effect of two cracks on the HFIF. The presented method provides a foundation for the investigation into the crack propagation behavior of a structure under thermo-mechanical loading.

引用

页码：379 / 388

页数：10

共 38 条

[1]

Arad M, 1998, COMMUN NUMER METH EN, V14, P657, DOI 10.1002/(SICI)1099-0887(199807)14:7<657::AID-CNM180>3.0.CO

[2]

2-K

[3] Thermo-anisotropic crack propagation by XFEM [J].

Bouhala, Lyazid ;

Makradi, Ahmed ;

Belouettar, Salim .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2015, 103 :235-246

[4] THERMAL INTERFACE CRACK PROBLEMS IN DISSIMILAR ANISOTROPIC MEDIA [J].

CHAO, CK ;

CHANG, RC .

JOURNAL OF APPLIED PHYSICS, 1992, 72 (07) :2598-2604

[5] THERMAL PROBLEM OF CURVILINEAR CRACKS IN BONDED DISSIMILAR MATERIALS [J].

CHAO, CK ;

SHEN, MH .

JOURNAL OF APPLIED PHYSICS, 1993, 73 (11) :7129-7137

[6] On the construction of blending elements for local partition of unity enriched finite elements [J].

Chessa, J ;

Wang, HW ;

Belytschko, T .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 57 (07) :1015-1038

[7] The extended finite element method in thermoelastic fracture mechanics [J].

Duflot, Marc .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 74 (05) :827-847

[8] A corrected XFEM approximation without problems in blending elements [J].

Fries, Thomas-Peter .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 75 (05) :503-532

[9] A symplectic analytical singular element for steady-state thermal conduction with singularities in composite structures [J].

Hu, X. F. ;

Gao, H. Y. ;

Yao, W. A. ;

Yang, S. T. .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2016, 70 (05) :406-419

[10] Study on steady-state thermal conduction with singularities in multi-material composites [J].

Hu, X. F. ;

Gao, H. Y. ;

Yao, W. A. ;

Yang, S. T. .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 104 :861-870

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