The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

The analytical compound model of a magneto-electro-elastic wedge-junction structure simultaneously combines a bimaterial magneto-electro-elastic wedge and a three-material electromagnetic junction. This model gives special consideration to the electrostatic and magnetostatic fields in air. Based on the author's previous study, new results of antiplane singularity orders at the apex of this wedge-junction structure have been obtained in this paper. The characteristic equation and numerical results are obtained for discussions. As a result, the existence of the air plays an important role to reduce the singularity when the permittivity or permeability of the solid approaches that of the air. This wedge-junction compound model is more realistic and shows the important roles of the electrostatic and magnetostatic fields in the air.