Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading
Understanding the dynamic thermal response of materials is crucial for designing effective thermal protection systems, particularly in extreme thermal environments such as transient thermal loading, extremely low/high temperature, etc. This study investigates the dynamic thermal response of a half p...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/1250343 |
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| _version_ | 1832569124172070912 |
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| author | Mahsa Nourazar Weilin Yang Zengtao Chen |
| author_facet | Mahsa Nourazar Weilin Yang Zengtao Chen |
| author_sort | Mahsa Nourazar |
| collection | DOAJ |
| description | Understanding the dynamic thermal response of materials is crucial for designing effective thermal protection systems, particularly in extreme thermal environments such as transient thermal loading, extremely low/high temperature, etc. This study investigates the dynamic thermal response of a half plane containing multiple parallel cracks under transient thermal loading using a non-Fourier, hyperbolic heat conduction model. Our findings highlight significant deviations from traditional Fourier models, enhancing the predictive capabilities for designing thermal protection systems in extreme thermal environments. The cracks are modeled as distributions of thermal dislocations, with densities determined through Fourier and Laplace transforms. By solving the resulting singular integral equations, we calculate the temperature gradient intensity factors across multiple scenarios. Additionally, we examine the effects of thermal relaxation time, loading parameters, and crack spacing on the thermal intensity factors, both in transient and steady-state conditions. This research confirms the robustness of the hyperbolic model and its practical implications for thermal analysis in engineering applications. |
| format | Article |
| id | doaj-art-6eed6f949ec8481c8cab0bd8dc881e48 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6eed6f949ec8481c8cab0bd8dc881e482025-02-02T23:07:29ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/1250343Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal LoadingMahsa Nourazar0Weilin Yang1Zengtao Chen2Department of Mechanical EngineeringDepartment of Mechanical EngineeringDepartment of Mechanical EngineeringUnderstanding the dynamic thermal response of materials is crucial for designing effective thermal protection systems, particularly in extreme thermal environments such as transient thermal loading, extremely low/high temperature, etc. This study investigates the dynamic thermal response of a half plane containing multiple parallel cracks under transient thermal loading using a non-Fourier, hyperbolic heat conduction model. Our findings highlight significant deviations from traditional Fourier models, enhancing the predictive capabilities for designing thermal protection systems in extreme thermal environments. The cracks are modeled as distributions of thermal dislocations, with densities determined through Fourier and Laplace transforms. By solving the resulting singular integral equations, we calculate the temperature gradient intensity factors across multiple scenarios. Additionally, we examine the effects of thermal relaxation time, loading parameters, and crack spacing on the thermal intensity factors, both in transient and steady-state conditions. This research confirms the robustness of the hyperbolic model and its practical implications for thermal analysis in engineering applications.http://dx.doi.org/10.1155/2024/1250343 |
| spellingShingle | Mahsa Nourazar Weilin Yang Zengtao Chen Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading Advances in Mathematical Physics |
| title | Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading |
| title_full | Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading |
| title_fullStr | Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading |
| title_full_unstemmed | Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading |
| title_short | Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading |
| title_sort | dynamic thermal response of multiple parallel cracks in a half plane under general transient thermal loading |
| url | http://dx.doi.org/10.1155/2024/1250343 |
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