Singularities of Coupled Fields in Piezoelectric/Piezomagnetic Composite Wedges: an Antiplane Problem

WANG Guolin; WEN Jianjun; YUE Yanmei; LIU Jinxi

doi:10.21656/1000-0887.450244

Volume 45 Issue 10

Oct. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(10): 1256-1267

WANG Guolin, WEN Jianjun, YUE Yanmei, LIU Jinxi. Singularities of Coupled Fields in Piezoelectric/Piezomagnetic Composite Wedges: an Antiplane Problem[J]. Applied Mathematics and Mechanics, 2024, 45(10): 1256-1267. doi: 10.21656/1000-0887.450244

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Singularities of Coupled Fields in Piezoelectric/Piezomagnetic Composite Wedges: an Antiplane Problem

doi: 10.21656/1000-0887.450244

1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China;
2. School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China;
3. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China

Funds:

The National Science Foundation of China(11272222)

Received Date: 2024-09-06
Rev Recd Date: 2024-09-25

Available Online: 2024-10-31

Publish Date: 2024-10-01

Abstract

Abstract

The singularities of the coupled fields near the apex of a piezoelectric/piezomagnetic composite wedge under antiplane deformation were studied. With the complex variable function theory and the eigenfunction expansion method, the explicit expressions of the eigenfunction equations for singularity orders were derived for 16 combinations of mechanically free or clamped, electrically closed or open and magnetically closed or open ones. Based on the obtained eigenequations, some numerical results were given to show the influences of the wedge angles, boundary conditions and material combination types on the singular behaviors. The results show that, the singularities of the coupled fields in a piezoelectric/piezomagnetic composite wedge are more complicated than those in a piezoelectric counterpart.
- piezoelectric material,
- piezomagnetic material,
- composite wedge,
- antiplane deformation,
- coupled field,
- singularity order

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References(45)

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