TY - JOUR
T1 - Study on transient heat flux intensity factor with interaction integral
AU - Deng, Huachao
AU - Yan, Bo
AU - Su, Honghong
AU - Zhang, Xiaomin
AU - Lv, Xin
N1 - Funding Information:
This work is sponsored by the National Natural Science Foundation of China (No. 11572060 and No. 11872130 ).
Publisher Copyright:
© 2019 Elsevier Masson SAS
PY - 2019/12
Y1 - 2019/12
N2 - Aim at determining of the heat flux intensity factor (HFIF) near a crack tip in structures under transient heat flux load, the transient JT integral is defined firstly and proved to be path-independent. Based on the path-independence of the transient JT integral, a transient interaction integral utilized to extract the transient HFIF is established by introducing a known auxiliary field. A singular isoparametric quadrilateral element with eight nodes, which is used to discretize the structure around the crack tip, by moving the midside nodes to one-fourth of the sides is presented. With this singular element, the 1/r singularity of heat flux near the crack tip can be exactly depicted. Numerical examples are carried out to verify the path-independence of the transient JT integral and the interaction integral method to extract the transient HFIF. Moreover, the transient HFIF in a structure with multiple cracks are numerically investigated by means of the presented method. The method proposed in this paper can be extended to investigate the thermo-mechanical problems.
AB - Aim at determining of the heat flux intensity factor (HFIF) near a crack tip in structures under transient heat flux load, the transient JT integral is defined firstly and proved to be path-independent. Based on the path-independence of the transient JT integral, a transient interaction integral utilized to extract the transient HFIF is established by introducing a known auxiliary field. A singular isoparametric quadrilateral element with eight nodes, which is used to discretize the structure around the crack tip, by moving the midside nodes to one-fourth of the sides is presented. With this singular element, the 1/r singularity of heat flux near the crack tip can be exactly depicted. Numerical examples are carried out to verify the path-independence of the transient JT integral and the interaction integral method to extract the transient HFIF. Moreover, the transient HFIF in a structure with multiple cracks are numerically investigated by means of the presented method. The method proposed in this paper can be extended to investigate the thermo-mechanical problems.
KW - Interaction integral
KW - Transient HFIF
KW - Transient J integral
KW - Transient heat conduction
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U2 - 10.1016/j.ijthermalsci.2019.106014
DO - 10.1016/j.ijthermalsci.2019.106014
M3 - Article
AN - SCOPUS:85072032569
SN - 1290-0729
VL - 146
JO - Revue Generale de Thermique
JF - Revue Generale de Thermique
M1 - 106014
ER -