Scattering of Magnetoacoustic Waves and Dynamic Stress Concentration around Double Openings in Piezomagnetic Composites

Abstract

Based on the magnetoacoustic coupled dynamics theory, the wave function expansion method is used to solve the problem of acoustic wave scattering and dynamic stress concentration around the two openings in e-type piezomagnetic composites. To deal with the multiple scattering between openings, the local coordinate method is introduced. The general analytical solution to the problem and the expression of the dynamic stress concentration are derived. As an example, the numerical results of the dynamic stress distribution around two openings with equal diameters are given. The effects of the parameters, such as the incident wave number and the spacing between the openings, on the dynamic stress concentration factor are analyzed.

Transient Response of Dynamic Stress Concentration around a Circular Opening: Incident SH Wave

“…In recent decades, the theoretical analysis of elastic wave propagation in continuous media has focused on three key aspects: model structure, defect morphology, and constitutive relationships. Scholars have extensively researched these problem categories [3][4][5][6][7]. For instance, Xue et al [3] utilized the wave function expansion method based on magnetoacoustic coupling dynamics theory to address the issues of acoustic wave scattering and dynamic stress concentration in e-type piezoelectric composite materials.…”

“…Scholars have extensively researched these problem categories [3][4][5][6][7]. For instance, Xue et al [3] utilized the wave function expansion method based on magnetoacoustic coupling dynamics theory to address the issues of acoustic wave scattering and dynamic stress concentration in e-type piezoelectric composite materials. Kara et al [4] investigated the dynamic response of a cylindrical shell surrounded by homogeneous, Appl.…”

“…Although significant research achievements have been made in stress concentration around openings, most of the studies found in the existing literature focuses on the steadystate response of dynamic stress [3][4][5][6][7][8][9][10][11]17,18]. Currently, few studies provide analytical solutions for the transient response of materials with openings.…”

Magnetoacoustic Wave Scattering and Dynamic Stress Concentration around the Elliptical Opening in Exponential-Gradient Piezomagnetic Materials

“…The band gap is passed, and the corresponding characteristics of the dispersion curve, positioning factor, and response spectrum are obtained. Xue et al [14] used the wave function expansion method to solve the problem of acoustic wave scattering and dynamic stress concentration around the two openings in e-type piezomagnetic composites. Jiang et al [15] developed a theoretical method to study the magnetoelastic coupled wave and dynamic stress intensity around a cylindrical aperture in exponential-graded piezomagnetic materials.…”

“…By employing the decoupling technique, the coupled magnetoelastic governing equations are decomposed, and the numerical examples of the dynamic stress intensity factor near the aperture are presented. The materials used in the above literature include functional-gradient materials, piezomagnetic materials, piezoelectric materials and their composite materials, such as CoFe 2 O 4 /BaTiO 3 [9], PZT-5H [10], LiNbO 3 /CoFe 2 O 4 [12], PZT-5H/CoFe 2 O 4 [12], BaTiO 3 /PZT-4 /CoFe 2 O 4 [13], and CoFe 2 O 4 [14].…”