Boundary integral equation method for simulation scattering of elastic waves obliquely incident to a doubly periodic array of interface delaminations

Golub, Mikhail V.; Doroshenko, Olga V.

doi:10.1016/j.jcp.2018.10.003

Cited by 23 publications

(11 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since all existing engineering materials contain cracks, notches, delaminations and other crack-like defects, a considerable body of work is devoted to the solution of two-and threedimensional fracture mechanics problems for cracked materials under static and dynamic loading [1][2][3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Contact Problems for Interface Cracks Under Harmonic Shear Loading

Menshykov

Menshykov²,

Guz³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

The linear crack between two dissimilar elastic isotropic half-spaces under normal harmonic shear loading is considered. To take the crack faces interaction into account we assumed that the contact satisfies the Signorini constraints and the Coulomb friction law. The problem is solved numerically using the iterative processthe solution changes until the distribution of physical values satisfying the contact constraints is found. The numerical convergence of the method with respect to the number of the Fourier coefficients and mesh size is analysed. The effects of material properties and values of the friction coefficient on the distribution of displacements and contact forces are presented and analysed. Special attention is paid to the size of the contact zone and the results are compared with the classical model solutions obtained for the static problems with and without friction.

show abstract

Section: Introductionmentioning

confidence: 99%

Contact Problems for Interface Cracks Under Harmonic Shear Loading

Menshykov

Menshykov²,

Guz³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

show abstract

“…A combination of the boundary integral equation method (BIEM) and the frequency domain spectral element method (FDSEM; Shi et al, 2016), addressed as a hybrid approach (Golub and Shpak, 2019), is employed in this article. The semi-analytical BIEM is an efficient tool for simulation of wave propagation in an elongated structure with cracks as was shown in Glushkov and Glushkova (1996); Boström (2003); Eremin et al (2019); Golub and Doroshenko (2019). Moreover, the BIEM allows investigating wave energy distribution among various GWs as well as scattering of a selected Lamb wave by a delamination and quantifying its conversion into other modes (Golub et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Influence of a delamination on Lamb wave excitation by a nearby piezoelectric transducer

Shpak

Golub

Mueller

et al. 2020

Journal of Intelligent Material Systems and Structures

Self Cite

View full text Add to dashboard Cite

This article presents the results of theoretical and experimental investigations of characteristic changes of Lamb wave excitation and scattering by a strip-like horizontal delamination in a layered elastic waveguide for Lamb waves induced by a piezoelectric wafer active sensor. The boundary integral equation method is used to describe wave propagation in an infinite layered waveguide with a delamination, while the frequency domain spectral element method is employed to model the dynamic behaviour of the piezoelectric wafer active sensor, which allows to simulate debonding between the piezoelectric wafer active sensor and the waveguide. Experimental investigations of the dynamic interaction of the piezoelectric wafer active sensor with a layered plate containing a horizontal delamination is conducted for several damage scenarios, showing a good agreement with the results obtained using the developed mathematical model. The obtained mathematical model is employed to analyse alteration of the piezo-induced Lamb waves including modes’ decomposition due to delamination. The conversion and/or conservation of the Lamb waves on account of a delamination is investigated. The electro-mechanical impedance of the piezoelectric transducer and the stress intensity factors of a delamination are analysed in dependence on the delamination location.

show abstract

“…A number of researchers paid special attention to the crack problems in layered composites and bimaterials. The elastic wave scattering by a doubly periodic array of planar delaminations of arbitrary shape presented in [16]. The authors used the approach, which is the extension of the boundary integral equation method, to solve the problem.…”

Section: Introduction and State-of-the-art Of The Problemmentioning

confidence: 99%

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

2020

View full text Add to dashboard Cite

The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.

show abstract

Boundary integral equation method for simulation scattering of elastic waves obliquely incident to a doubly periodic array of interface delaminations

Cited by 23 publications

References 45 publications

Contact Problems for Interface Cracks Under Harmonic Shear Loading

Contact Problems for Interface Cracks Under Harmonic Shear Loading

Influence of a delamination on Lamb wave excitation by a nearby piezoelectric transducer

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

Contact Info

Product

Resources

About