Magnetoelastic Coupled Wave Diffraction and Dynamic Stress Intensity Factor in Graded Piezomagnetic Composites with a Cylindrical Aperture.

Yinhuan Jiang,Liqun Wu,Chuanping Zhou,Ban Wang

doi:10.3390/ma13030669

Abstract

A theoretical method is developed 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. Then the analytic solutions of elastic wave fields and magnetic fields are presented by using the wave function expansion method. By satisfying the boundary conditions of the aperture, the mode coefficients, and the analytic solutions of dynamic stress intensity factors are determined. The numerical examples of the dynamic stress intensity factor near the aperture are presented. The numerical results indicate that the incident wave number, the piezomagnetic properties, and the nonhomogeneous parameter of materials highly influence the dynamic stress around the aperture.

Highlights

Graded material is a kind of composite material whose composition and structure change continuously with gradient
The numerical results indicate that the incident wave number, the piezomagnetic properties, and the nonhomogeneous parameter of materials highly influence the dynamic stress around the aperture
It is of great significance to study the exponentially graded piezomagnetic materials (EGPMs)

Summary

Introduction

Graded material is a kind of composite material whose composition and structure change continuously with gradient. Cao et al [8] studied the propagation characteristics of Lamb waves in a functionally graded piezoelectric/piezomagnetic composite plate with continuous variation along the thickness direction. Sahu et al [15] studied the propagation characteristics of horizontally polarized shear waves in laminated composite structures sandwiched between the wavy piezomagnetic layer and the elastic substrate through functionally graded piezoelectric materials. The diffraction and dynamic stress intensity around the aperture in EGPMs under the action of a magneto-elastic coupling wave are studied. EGPM is polarized along the z-direction transverse performance In this case, theisotropic anti-plane dynamics equation and parameters follow the exponential change in the x-direction.

Sketch

Boundary Conditions and Determination of Mode Coefficients

Dynamic Stress Intensity Factors

Numerical Examples Simulation and Discussion

Conclusions