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

[31] SIFs evaluation of sharp V-notched fracture by XFEM and strain energy approach [J].

Yi, Gao ;

Yu, Tiantang ;

Bui, Tinh Quoc ;

Ma, Chunping ;

Hirose, Sohichi .

THEORETICAL AND APPLIED FRACTURE MECHANICS, 2017, 89 :35-44

[32] NUMERICAL-ANALYSIS OF SINGULARITIES IN 2-DIMENSIONS .1. COMPUTATION OF EIGENPAIRS [J].

YOSIBASH, Z ;

SZABO, B .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (12) :2055-2082

[33] Numerical simulation of 2-D weak and strong discontinuities by a novel approach based on XFEM with local mesh refinement [J].

Yu, Tiantang ;

Tinh Quoc Bui .

COMPUTERS & STRUCTURES, 2018, 196 :112-133

[34] Interfacial dynamic impermeable cracks analysis in dissimilar piezoelectric materials under coupled electromechanical loading with the extended finite element method [J].

Yu, Tiantang ;

Bui, Tinh Quoc ;

Liu, Peng ;

Zhang, Chuanzeng ;

Hirose, Sohichi .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2015, 67-68 :205-218

[35] Implementation of the extended finite element method for dynamic thermoelastic fracture initiation [J].

Zamani, Arash ;

Eslami, M. Reza .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2010, 47 (10) :1392-1404

[36] A fictitious crack XFEM with two new solution algorithms for cohesive crack growth modeling in concrete structures [J].

Zhang, Xiaodong ;

Tinh Quoc Bui .

ENGINEERING COMPUTATIONS, 2015, 32 (02) :473-497

[37] High temperature oxidation and insulation behavior of plasma-sprayed nanostructured thermal barrier coatings [J].

Zhou, Feifei ;

Wang, You ;

Wang, Liang ;

Cui, Zhongyuan ;

Zhang, Zhenguo .

JOURNAL OF ALLOYS AND COMPOUNDS, 2017, 704 :614-623

[38] Finite-Element Discretized Symplectic Method for Steady-State Heat Conduction with Singularities in Composite Structures [J].

Zhou, Zhenhuan ;

Xu, Chenghui ;

Xu, Xinsheng ;

Leung, Andrew Yee-Tak .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2015, 67 (04) :302-319

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