Propagation of SH waves in corrugated FGPM layer lying over a piezomagnetic half-space

Mondal, Sonali; Sahu, Sanjeev A.

doi:10.1080/15376494.2018.1534168

Cited by 13 publications

(3 citation statements)

References 8 publications

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“…However, during the processing and utilization of these materials, issues such as stress concentration due to defects (such as pores, cracks, and composite forms) can significantly reduce the expected lifespan and cause the materials to lose their original design functionality, leading to medium breakdown or failure. Therefore, the academic community has devoted considerable attention to addressing the reliability and stability issues of piezomagnetic materials [1,2].…”

Section: Introductionmentioning

confidence: 99%

SH Wave Scattering and Dynamic Stress Concentration in Piezomagnetic Materials with Non-Circular Openings

et al. 2023

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The study uses complex variable functions and conformal mapping to investigate the scattering and dynamic stress concentration phenomena of SH waves in non-circular opening magnetic–elastic materials. Elastic dynamics and piezomagnetic equations are employed to derive expressions for the scattered wave intensity and dynamic stress concentration coefficient around non-circular openings. Special attention is devoted to elliptical openings, where different incident angles and dimensionless wave numbers exhibit varying effects on the dynamic stress concentration coefficients. The numerical results indicate a positive correlation between the dynamic stress concentration coefficient and the illumination region of elliptical openings, with low wave numbers exerting a more significant influence. These findings provide a valuable theoretical foundation for studying fatigue mechanics in piezomagnetic materials. Therefore, to enhance the performance and reliability of piezomagnetic materials, it is imperative to conduct elastic dynamic analysis of non-circular defects in low-frequency environments.

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Section: Introductionmentioning

confidence: 99%

SH Wave Scattering and Dynamic Stress Concentration in Piezomagnetic Materials with Non-Circular Openings

et al. 2023

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“…Salah et al combined the ordinary differential equation method with the general stiffness matrix method to investigate the propagation of Love and Rayleigh waves in FGPM half-space (see [11,12]). Very recently, Kong [13] and Mondal et al [14] studied the propagating characteristics of SH waves in FGPM layered half-space using different method, respectively. On the problem of wave propagation in FGPM plates, C.Othmani et al proposed a Legendre polynomial method to study the effect of the gradient coefficients on the Lamb phase velocity [15].…”

Section: Introductionmentioning

confidence: 99%

The Complex Rayleigh Waves in a Functionally Graded Piezoelectric Half-Space: An Improvement of the Laguerre Polynomial Approach

Jing

et al. 2020

Materials

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The research on the propagation of surface waves has received considerable attention in order to improve the efficiency and natural life of the surface acoustic wave devices, but the investigation on complex Rayleigh waves in functionally graded piezoelectric material (FGPM) is quite limited. In this paper, an improved Laguerre orthogonal function technique is presented to solve the problem of the complex Rayleigh waves in an FGPM half-space, which can obtain not only the solution of purely real values but also that of purely imaginary and complex values. The three-dimensional dispersion curves are generated in complex space to explore the influence of the gradient coefficients. The displacement amplitude distributions are plotted to investigate the conversion process from complex wave mode to propagating wave mode. Finally, the curves of phase velocity to the ratio of wave loss decrements are illustrated, which offers extra convenience for finding the high phase velocity points where the complex wave loss is near zero.

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“…Mondal [11] provided the numerical example to study the scattering problem of SH wave propagation in functionally graded piezoelectric material. Ray [12] established the magneto-elastic dynamic equation, and by using the Green's function method, the characteristics of the wave propagation behavior of the piezomagnetic material layer on the functional gradient piezomagnetic material under the action of the interface pulse point source had been revealed.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Anti-plane Behavior of Rare Earth Giant Magnetostrictive Medium With a Circular Cavity Defect in Semi-space

2020

Preprint

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An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-magnetic dynamic equation of magnetostrictive medium is established, and the semi-space incident wave field is written. In addition, the scattered displacement field and the corresponding magnetic potential of the scattered wave under the condition of no stress and magnetic insulation of the horizontal boundary are obtained by image method. Then, based on the conditions of free boundary stress, continuous magnetic induction intensity and continuous magnetic potential around the circular cavity, the infinite linear algebraic equations are established. Finally, the analytical expressions of dynamic stress concentration factor and magnetic field intensity concentration factor around circular cavity in semi-space rare earth giant magnetostrictive medium are obtained. Numerical examples show that the analysis results depend on the following parameters: permeability, dimensional-piezomagnetic coefficient, frequency of the incident wave, incident angle, distance between the circular cavity and horizontal boundary. These results have certain reference value for the study of non-destructive testing and failure analysis of rare earth giant magnetostrictive materials.

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Propagation of SH waves in corrugated FGPM layer lying over a piezomagnetic half-space

Cited by 13 publications

References 8 publications

SH Wave Scattering and Dynamic Stress Concentration in Piezomagnetic Materials with Non-Circular Openings

SH Wave Scattering and Dynamic Stress Concentration in Piezomagnetic Materials with Non-Circular Openings

The Complex Rayleigh Waves in a Functionally Graded Piezoelectric Half-Space: An Improvement of the Laguerre Polynomial Approach

Dynamic Anti-plane Behavior of Rare Earth Giant Magnetostrictive Medium With a Circular Cavity Defect in Semi-space

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