An Antiplane Problem of Magnetoelectroelastic Materials With Nanoscale Lip-Shaped Orifice With 2 Asymmetric Cracks

JIANG Lijuan; LIU Guanting; GAO Yuanyuan; WANG Ghengyan; GUO Huaimin

doi:10.21656/1000-0887.450180

Volume 45 Issue 10

Oct. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(10): 1332-1344

JIANG Lijuan, LIU Guanting, GAO Yuanyuan, WANG Ghengyan, GUO Huaimin. An Antiplane Problem of Magnetoelectroelastic Materials With Nanoscale Lip-Shaped Orifice With 2 Asymmetric Cracks[J]. Applied Mathematics and Mechanics, 2024, 45(10): 1332-1344. doi: 10.21656/1000-0887.450180

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An Antiplane Problem of Magnetoelectroelastic Materials With Nanoscale Lip-Shaped Orifice With 2 Asymmetric Cracks

doi: 10.21656/1000-0887.450180

1.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P.R.China
2.
College of Educational Science, Baotou Teacher's College, Baotou, Inner Mongolia 014030, P.R.China
3.
Center for Applied Mathematics Inner Mongolia, Hohhot 010022, P.R.China
4.
College of Mathematics Science, Baotou Teacher's College, Baotou, Inner Mongolia 014030, P.R.China

Received Date: 2024-06-19
Rev Recd Date: 2024-07-28
Publish Date: 2024-10-01

Abstract

Abstract

Based on the Gurtin-Murdoch surface elasticity theory and the magnetoelectroelasticity (MEE) theory, the fracture behaviors of MEE materials containing nanoscale lip-shaped orifice with 2 asymmetric cracks under anti-plane mechanical loads and in-plane electromagnetic loads were investigated with the analytic function conformal mapping technique. Analytical solutions for the generalized MEE stress fields around defects (the lip-shaped orifice and cracks), as well as the crack tip MEE intensity factors and energy release rates, were given. Under special conditions, the obtained results would degenerate into existing results or offer new insights. Numerical examples reveal that, the defect surface effects on the MEE intensity factors are dependent on the radii of nano-sized circular holes, the size of the lip-shaped orifice, the size of secondary cracks originating from the lip-shaped orifice, and the applied MEE loads. Under the surface effect, the dimensionless energy release rate varies with the lip width, the infinity mechanical load, the infinity electrical load and the infinity magnetic load.
- magnetoelectroelastic material,
- surface effect,
- lip-shaped orifice with 2 asymmetric cracks,
- field intensity factor,
- energy release rate

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References(32)

References

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