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.
Highlights
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15 ∂y where c44 is the elastic constant of the piezomagnetic material, h15 is the piezomagnetic constant of the piezomagnetic material, κ11 is the magnetic medium constant of the piezomagnetic material, and φ is the potential in the medium
It can be seen that when the incident wave frequency is low, the dynamic stress concenIn this paper, based on the(the magnetoacoustic dynamics theory,wave the scattering trations of the back-wave side right half of thecoupled figure) and the traveling side are nearly symmetric with respect to the vertical axis. two
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Kong et al [15] used Green function method to study the SH wave scattering and dynamic stress intensity factor in an infinite piezomagnetic material with a radial finite length crack. They got the edge of the hole dynamic analytical expressions for stress intensity factors. With the development of the computer, numerical methods are used to solve the stress calculation problem of a piezomagnetic material discontinuous structure under a dynamic load. While these numerical methods are very useful, it is important to understand the physical properties through theoretical analysis. The numerical results of the dynamic stress distribution around the openings are given, and the influence of the parameters, such as incident wave number and interopening spacing, on the dynamic stress concentration factor is analyzed
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