Liouville-Green approximation: An analytical approach to study the elastic waves vibrations in composite structure of piezo material

Singhal, Abhinav; Sahu, Sanjeev A.; Chaudhary, Soniya

doi:10.1016/j.compstruct.2017.10.031

Cited by 51 publications

(13 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among the three types of waves, namely, the body torsional waves, the Rayleigh waves, and Love waves, the body waves decay quickly over distance so the total area of severe damage caused by the body waves is much smaller than the Rayleigh and the Love waves, which are surface waves. [31][32][33][34][35] Between the Rayleigh waves that reside in thick soil and the Love waves that reside in shallow soil above bed rock, the Rayleigh waves are more often encountered than Love waves because in geology thick soil cites are more common than shallow soil. Furthermore, once the means to attenuate Rayleigh waves are established, they could serve as a reference for the Love waves.…”

Section: Journal Of Applied Physicsmentioning

confidence: 99%

Folded sheet resonators that aim at low frequency attenuation of surface elastic waves in solids

Yang

et al. 2020

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

Section: Journal Of Applied Physicsmentioning

confidence: 99%

Folded sheet resonators that aim at low frequency attenuation of surface elastic waves in solids

Yang

et al. 2020

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

“…Then proposed an analytical technique to study the shear horizontal wave propagation in a layered pre-stressed rotating cylindrical tube structure consisting of a piezoelectric material layer which is wrapped on piezomagnetic material having an imperfect interface. Singhal 11 , 12 studied the propagation of Love-type wave in functionally graded piezoelectric material layer bonded between piezomagnetic plate and pre-stressed piezoelectric half-space and then used liouville-green approximation to study the surface waves in functionally graded piezoelectric material clubbed between two dissimilar piezomagnetic media. Jiang 13 used the decoupling technique and wave function method to study the dynamic behavior around the circular hole in exponential gradient piezomagnetic material.…”

Section: Introductionmentioning

confidence: 99%

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Liu

2021

Sci Rep

View full text Add to dashboard Cite

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, based on the theory of complex function and the method of wave function expansion, the expression of the wave function of 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. 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.

show abstract

“…In this paper, we present a Lamb wave wavefield imaging method that can show details of structural damage with great complexity through the combination with adopting actuator network. Piezoelectric transducers (PZTs) have been widely studied and proved stable and effective for Lamb wave generation (Giurgiutiu, 2008; Sahu et al, 2018; Singh et al, 2018; Singhal et al, 2018, 2019a). Thus, a network of PZTs are used in this work to actuate Lamb waves in turn while the waves are measured by the SLDV to acquire time-space wavefield dataset.…”

Section: Introductionmentioning

confidence: 99%

Lamb wave imaging with actuator network for damage quantification in aluminum plate structures

2020

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

Lamb waves have been widely used for damage detection on plate-like structures. However, there are still considerable interests on quantifying damage with complex profile. In this article, quantification of complex damage in plate-like structures using a network of actuators and time-space Lamb wavefield is investigated. The actuator network inspection system is implemented with multiple PZT transducers for Lamb wave actuation in round robin pattern and scanning laser Doppler vibrometer for wavefield sensing. The PZT network is arranged in a way that the target area is fully enclosed and Lamb waves come to the damage from all directions. Waves induced by the damage are subsequently obtained through frequency-wavenumber filtering, using the experimentally acquired dispersion curves presented in the paper. The filtered waves from all wave actuators are then used to generate a synthetic image of the damage being inspected. Two cases of complex damage are evaluated on aluminum plates, mass loss with triangular profile and mass addition with a three-letter cluster profile. Our results show that the damages are not only detected but also their profiles are clearly outlined in the images. We believe the subject methods provide improved evaluation of damage profile for Lamb wavefield based damage quantification.

show abstract

Liouville-Green approximation: An analytical approach to study the elastic waves vibrations in composite structure of piezo material

Cited by 51 publications

References 49 publications

Folded sheet resonators that aim at low frequency attenuation of surface elastic waves in solids

Folded sheet resonators that aim at low frequency attenuation of surface elastic waves in solids

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Lamb wave imaging with actuator network for damage quantification in aluminum plate structures

Contact Info

Product

Resources

About