Heat Concentration around a Cylindrical Interface Crack in a Composite Tube
Cracks always form at the interface of discrepant materials in composite structures, which influence thermal performances of the structures under transient thermal loadings remarkably. The heat concentration around a cylindrical interface crack in a bilayered composite tube has not been resolved in...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/5849690 |
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| author | J. W. Fu L. F. Qian |
| author_facet | J. W. Fu L. F. Qian |
| author_sort | J. W. Fu |
| collection | DOAJ |
| description | Cracks always form at the interface of discrepant materials in composite structures, which influence thermal performances of the structures under transient thermal loadings remarkably. The heat concentration around a cylindrical interface crack in a bilayered composite tube has not been resolved in literature and thus is investigated in this paper based on the singular integral equation method. The time variable in the two-dimensional temperature governing equation, derived from the non-Fourier theory, is eliminated using the Laplace transformation technique and then solved exactly in the Laplacian domain by the employment of a superposition method. The heat concentration degree caused by the interface crack is judged quantitatively with the employment of heat flux intensity factor. After restoring the results in the time domain using a numerical Laplace inversion technique, the effects of thermal resistance of crack, liner material, and crack length on the results are analyzed with a numerical case study. It is found that heat flux intensity factor is material-dependent, and steel is the best liner material among the three potential materials used for sustaining transiently high temperature loadings. |
| format | Article |
| id | doaj-art-9c9db9d8f7924cd5a28f8b7df37323c3 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9c9db9d8f7924cd5a28f8b7df37323c32025-08-20T02:18:28ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/58496905849690Heat Concentration around a Cylindrical Interface Crack in a Composite TubeJ. W. Fu0L. F. Qian1Department of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaDepartment of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaCracks always form at the interface of discrepant materials in composite structures, which influence thermal performances of the structures under transient thermal loadings remarkably. The heat concentration around a cylindrical interface crack in a bilayered composite tube has not been resolved in literature and thus is investigated in this paper based on the singular integral equation method. The time variable in the two-dimensional temperature governing equation, derived from the non-Fourier theory, is eliminated using the Laplace transformation technique and then solved exactly in the Laplacian domain by the employment of a superposition method. The heat concentration degree caused by the interface crack is judged quantitatively with the employment of heat flux intensity factor. After restoring the results in the time domain using a numerical Laplace inversion technique, the effects of thermal resistance of crack, liner material, and crack length on the results are analyzed with a numerical case study. It is found that heat flux intensity factor is material-dependent, and steel is the best liner material among the three potential materials used for sustaining transiently high temperature loadings.http://dx.doi.org/10.1155/2020/5849690 |
| spellingShingle | J. W. Fu L. F. Qian Heat Concentration around a Cylindrical Interface Crack in a Composite Tube Advances in Mathematical Physics |
| title | Heat Concentration around a Cylindrical Interface Crack in a Composite Tube |
| title_full | Heat Concentration around a Cylindrical Interface Crack in a Composite Tube |
| title_fullStr | Heat Concentration around a Cylindrical Interface Crack in a Composite Tube |
| title_full_unstemmed | Heat Concentration around a Cylindrical Interface Crack in a Composite Tube |
| title_short | Heat Concentration around a Cylindrical Interface Crack in a Composite Tube |
| title_sort | heat concentration around a cylindrical interface crack in a composite tube |
| url | http://dx.doi.org/10.1155/2020/5849690 |
| work_keys_str_mv | AT jwfu heatconcentrationaroundacylindricalinterfacecrackinacompositetube AT lfqian heatconcentrationaroundacylindricalinterfacecrackinacompositetube |