Elastodynamic contact problem for an interface crack under an oblique harmonic loading

Mikucka, Vita; Menshykov, Oleksandr

doi:10.1016/j.ijmecsci.2014.05.008

Cited by 9 publications

(2 citation statements)

References 12 publications

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“…Its generalization on the dynamic problems mostly relates the bimaterial cracked solids. Time‐harmonic loading of a penny‐shaped crack lying on the interface between dissimilar elastic half‐spaces with accounting the crack surfaces closure was considered by Guz et al ., Menshykova et al ., Mikucka and Menshykov . The propagation of time‐harmonic elastic waves through an array of periodically distributed interfacial penny‐shaped and elliptic cracks was investigated by Golub and Doroshenko .…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Mykhas’kiv

Stankevych

2019

Z Angew Math Mech

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Dynamic stress intensification due to the penny-shaped crack in a three-component elastic solid consisting of two dissimilar half-spaces and intermediate layer is analyzed. Twisting time-harmonic loading is applied to the opposite surfaces of the crack, which can be located in any component of the composite and has parallel orientation to its interfaces. Corresponding frequency-domain problem is solved by an improved boundary integral equation method, where identical satisfaction of perfect contact conditions at two presented interfaces is provided. Then, application of the dynamic loading condition on the crack-surfaces results in two uncoupled boundary integral equations relative to the tangential crack-opening-displacements. These quantities are defined by the collocation technique. Numerical examples concern the effects of the dimensionless wave number, the material mismatch, and the crack-interfaces distance on the mode-III dynamic stress intensity factor in the crack vicinity. K E Y W O R D Sboundary integral equation method, dynamic stress intensity factor, layered composite, penny-shaped crack, twisting time-harmonic loading

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Section: Introductionmentioning

confidence: 99%

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Mykhas’kiv

Stankevych

2019

Z Angew Math Mech

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“…The contact interaction between opposite crack faces has a very complex nature, and a great majority of researchers neglected the crack closure effects due to the difficulties with the problem solution. The crack closure effect for interfacial cracks subjected to dynamic loading was considered in [38][39][40][41]. To solve the problem of a crack located on the bimaterial interface under time harmonic loading, the BIEM was used.…”

Section: Introductionmentioning

confidence: 99%

A boundary integral equation method in the frequency domain for cracks under transient loading

et al. 2016

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This paper concerns the fracture mechanics problem for elastic cracked materials under transient dynamic loading. The problem is solved by use of the boundary integral equations in the frequency domain, and the components of the solution are presented by the Fourier exponential series. The dynamic stress intensity factors are computed for different stress pulses and compared with those obtained for the case of the Heaviside loading.

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Intensity of Dynamic Stresses of Longitudinal Shear in a Periodically Layered Composite with Penny-Shaped Cracks

Stankevych

Mykhas’kiv

2023

J Math Sci

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Elastodynamic contact problem for an interface crack under an oblique harmonic loading

Cited by 9 publications

References 12 publications

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

A boundary integral equation method in the frequency domain for cracks under transient loading

Intensity of Dynamic Stresses of Longitudinal Shear in a Periodically Layered Composite with Penny-Shaped Cracks

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