期刊
APPLIED MATHEMATICAL MODELLING
卷 80, 期 -, 页码 840-858出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.11.021
关键词
Functionally gradient material; Thermoelastic analysis; Memory-dependent derivative; Singular integral equations; Stress intensity factor
资金
- National Natural Science Foundation of China [11972375, 11732007]
- China Postdoctoral Science Foundation [2019TQ0355]
- Qingdao Postdoctoral Applied Research Program
- State Key Laboratory for Strength and Vibration of Mechanical Structures [SV2020-KF-12]
In the present study, we consider a thermoelastic half-space made of a functionally gradient material with an insulated crack, which is subjected to a thermal impact. The memory-dependent heat conduction model is adopted for analysis. By using the Fourier and Laplace transforms, the thermoelastic problem is formulated in terms of singular integral equations which can be solved numerically. Effects of the time delay, kernel function, and nonho-mogeneity parameters on the temperature and stress intensity factor are analyzed. Our results are also compared with those based on the Fourier and CV heat conduction models, which can be viewed as two special cases of the present model. In conclusion, the memory-dependent derivative and nonho-mogeneity parameters play an essential role in controlling the heat transfer process. (C) 2019 Elsevier Inc. All rights reserved.
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