Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials
In this section, the dynamic propagation behavior of a penny-shaped interface crack in piezoelectric bimaterials is analyzed. The objective of this paper is to use the boundary conditions of the penny-shaped interface crack to study the dynamic propagation of the crack under the action of load, so a...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/6660484 |
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| author | Yani Zhang Junlin Li Di Liu Xiufeng Xie |
| author_facet | Yani Zhang Junlin Li Di Liu Xiufeng Xie |
| author_sort | Yani Zhang |
| collection | DOAJ |
| description | In this section, the dynamic propagation behavior of a penny-shaped interface crack in piezoelectric bimaterials is analyzed. The objective of this paper is to use the boundary conditions of the penny-shaped interface crack to study the dynamic propagation of the crack under the action of load, so as to provide some valuable implications for the fracture mechanics of the piezoelectric bimaterials and simulate the interface crack between piezoelectric bimaterials, it is necessary to establish a suitable model and give appropriate boundary conditions according to the actual situation. The elastic displacement and potential equations are constructed according to the structural characteristics of the circular crack. In the case of a given displacement or stress, the Laplace transform and Hankel transform are used to simplify the problem into an integral equation with unknown functions. According to the boundary conditions, the corresponding unknowns are obtained, and the closed solution is derived. The results show that the fracture toughness of a penny-shaped interface crack in piezoelectric bimaterials is related to the thickness of the material, the impact time, the material characteristics, and the electric field. At the same time, it can be found that different materials have different roles in the crack propagation, so it is very important to study the crack opening displacement (COD) intensity factor of the crack for safety design. |
| format | Article |
| id | doaj-art-03fa3ad1c1204854b0e20b285cd40d29 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-03fa3ad1c1204854b0e20b285cd40d292025-02-03T01:30:23ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/6660484Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric BimaterialsYani Zhang0Junlin Li1Di Liu2Xiufeng Xie3Taiyuan University of Science and TechnologySchool of Applied ScienceSchool of Mathematical SciencesSchool of Applied ScienceIn this section, the dynamic propagation behavior of a penny-shaped interface crack in piezoelectric bimaterials is analyzed. The objective of this paper is to use the boundary conditions of the penny-shaped interface crack to study the dynamic propagation of the crack under the action of load, so as to provide some valuable implications for the fracture mechanics of the piezoelectric bimaterials and simulate the interface crack between piezoelectric bimaterials, it is necessary to establish a suitable model and give appropriate boundary conditions according to the actual situation. The elastic displacement and potential equations are constructed according to the structural characteristics of the circular crack. In the case of a given displacement or stress, the Laplace transform and Hankel transform are used to simplify the problem into an integral equation with unknown functions. According to the boundary conditions, the corresponding unknowns are obtained, and the closed solution is derived. The results show that the fracture toughness of a penny-shaped interface crack in piezoelectric bimaterials is related to the thickness of the material, the impact time, the material characteristics, and the electric field. At the same time, it can be found that different materials have different roles in the crack propagation, so it is very important to study the crack opening displacement (COD) intensity factor of the crack for safety design.http://dx.doi.org/10.1155/2023/6660484 |
| spellingShingle | Yani Zhang Junlin Li Di Liu Xiufeng Xie Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials Advances in Mathematical Physics |
| title | Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials |
| title_full | Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials |
| title_fullStr | Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials |
| title_full_unstemmed | Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials |
| title_short | Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials |
| title_sort | modelling and investigation of the dynamic behavior of a penny shaped interface crack in piezoelectric bimaterials |
| url | http://dx.doi.org/10.1155/2023/6660484 |
| work_keys_str_mv | AT yanizhang modellingandinvestigationofthedynamicbehaviorofapennyshapedinterfacecrackinpiezoelectricbimaterials AT junlinli modellingandinvestigationofthedynamicbehaviorofapennyshapedinterfacecrackinpiezoelectricbimaterials AT diliu modellingandinvestigationofthedynamicbehaviorofapennyshapedinterfacecrackinpiezoelectricbimaterials AT xiufengxie modellingandinvestigationofthedynamicbehaviorofapennyshapedinterfacecrackinpiezoelectricbimaterials |