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| Antiplane problem of magnetoelectric elastomers with lip shaped extended cracks |
| Received:November 16, 2023 Revised:December 20, 2024 |
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| DOI：10.7511/jslx20231116001 |
| KeyWord:magnetoelectric elastomer lip shaped extended crack field intensity factor energy release rate conformal mapping |
| Author | Institution |
| 郭宗华 |
山东大学, 数学科学学院, 济南 |
| 郭怀民 |
包头师范学院, 数学科学学院, 包头 |
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| Abstract: |
| Magnetoelectroelastic materials are a new type of intelligent material widely used in the manufacturing and installation of intelligent devices and equipment.Based on Muskhelishvili theory,this paper constructs a defect model for secondary cracks.By using conformal transformation technology and Stroh type formulas,the mechanical behavior of magneto-electroelastic material containing lip-type extended cracks is studied,and the analytical expressions of the field intensity factors and energy release rate at the crack tip under the partial magnetoelectric permeability boundary condition are obtained.The numerical examples describe the influence of the geometric size of defects on the SIF and SERR of magnetic,electrical,and elastic fields.The results indicate that increasing the length of the crack will promote its expansion,while increasing the height of the lip will suppress its expansion.When the length of the extended crack on both sides of the lip becomes zero,the obtained results can degenerate into the classic lip crack results.The results can degenerate into the Griffith crack results as the height of the lip becomes zero,which further verifies the correctness and effectiveness of the model. |
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