Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading
Coating often plays a role in monitoring and protecting substrates in engineering applications. Interface cracks between the coating and the substrate can lead to crack growth under the action of external loading and will cause device failure. In this paper, the behavior of a fine-grained piezoelect...
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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/10.1155/2020/4201591 |
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| author | Shuaishuai Hu Jiansheng Liu Junlin Li |
| author_facet | Shuaishuai Hu Jiansheng Liu Junlin Li |
| author_sort | Shuaishuai Hu |
| collection | DOAJ |
| description | Coating often plays a role in monitoring and protecting substrates in engineering applications. Interface cracks between the coating and the substrate can lead to crack growth under the action of external loading and will cause device failure. In this paper, the behavior of a fine-grained piezoelectric coating/substrate with a Griffith interface crack under steady-state thermal loading is studied. The temperature field, displacement field, and electric field of the coupling of thermal and electromechanical problems are constructed via integral transformation and the principle of superposition. Thus, problems are transformed into a system of singular integral equations, and the expressions of thermal intensity factor, thermal stress intensity factor, and electric displacement intensity factor are obtained. We used a numerical calculation and a system of singular equations to obtain the relationship of strength factor with material parameters, coating thickness, and crack size. |
| format | Article |
| id | doaj-art-8adfae537b8f44e693e175787e86fad4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8adfae537b8f44e693e175787e86fad42025-02-03T05:49:53ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/42015914201591Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal LoadingShuaishuai Hu0Jiansheng Liu1Junlin Li2School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaCoating often plays a role in monitoring and protecting substrates in engineering applications. Interface cracks between the coating and the substrate can lead to crack growth under the action of external loading and will cause device failure. In this paper, the behavior of a fine-grained piezoelectric coating/substrate with a Griffith interface crack under steady-state thermal loading is studied. The temperature field, displacement field, and electric field of the coupling of thermal and electromechanical problems are constructed via integral transformation and the principle of superposition. Thus, problems are transformed into a system of singular integral equations, and the expressions of thermal intensity factor, thermal stress intensity factor, and electric displacement intensity factor are obtained. We used a numerical calculation and a system of singular equations to obtain the relationship of strength factor with material parameters, coating thickness, and crack size.http://dx.doi.org/10.1155/2020/4201591 |
| spellingShingle | Shuaishuai Hu Jiansheng Liu Junlin Li Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading Advances in Mathematical Physics |
| title | Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading |
| title_full | Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading |
| title_fullStr | Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading |
| title_full_unstemmed | Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading |
| title_short | Fracture Analysis of Griffith Interface Crack in Fine-Grained Piezoelectric Coating/Substrate under Thermal Loading |
| title_sort | fracture analysis of griffith interface crack in fine grained piezoelectric coating substrate under thermal loading |
| url | http://dx.doi.org/10.1155/2020/4201591 |
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