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

Huachao Deng; Bo Yan; Honghong Su; Xiaomin Zhang; Xin Lv

doi:10.1016/j.ijthermalsci.2018.09.022

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

Huachao Deng, Bo Yan, Honghong Su, Xiaomin Zhang, Xin Lv

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	379-388
Number of pages	10
Journal	International Journal of Thermal Sciences
Volume	136
DOIs	https://doi.org/10.1016/j.ijthermalsci.2018.09.022
Publication status	Published - 2019 Feb
Externally published	Yes

Keywords

HFIF
Interaction integral
J integral
Path-independence
XFEM

ASJC Scopus subject areas

Condensed Matter Physics
Engineering(all)

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10.1016/j.ijthermalsci.2018.09.022

Cite this

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title = "An interaction integral method for calculating heat flux intensity factor with the XFEM",

abstract = "The JT 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 JT integral is theoretically proven. Based on the JT 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.",

keywords = "HFIF, Interaction integral, J integral, Path-independence, XFEM",

author = "Huachao Deng and Bo Yan and Honghong Su and Xiaomin Zhang and Xin Lv",

note = "Funding Information: This work is sponsored by the National Natural Science Foundation of China (No. 11572060 and No. 11872130 ). Publisher Copyright: {\textcopyright} 2018 Elsevier Masson SAS",

year = "2019",

month = feb,

doi = "10.1016/j.ijthermalsci.2018.09.022",

language = "English",

volume = "136",

pages = "379--388",

journal = "Revue Generale de Thermique",

issn = "1290-0729",

publisher = "Elsevier Masson SAS",

}

TY - JOUR

T1 - An interaction integral method for calculating heat flux intensity factor with the XFEM

AU - Deng, Huachao

AU - Yan, Bo

AU - Su, Honghong

AU - Zhang, Xiaomin

AU - Lv, Xin

PY - 2019/2

Y1 - 2019/2

N2 - The JT 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 JT integral is theoretically proven. Based on the JT 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.

AB - The JT 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 JT integral is theoretically proven. Based on the JT 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.

KW - HFIF

KW - Interaction integral

KW - J integral

KW - Path-independence

KW - XFEM

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U2 - 10.1016/j.ijthermalsci.2018.09.022

DO - 10.1016/j.ijthermalsci.2018.09.022

M3 - Article

AN - SCOPUS:85056172663

SN - 1290-0729

VL - 136

SP - 379

EP - 388

JO - Revue Generale de Thermique

JF - Revue Generale de Thermique

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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