Diffraction and reflection of antiplane shear waves in a cracked couple stress elastic material

Andrea Nobili*, Enrico Radi, Gennady Mishuris

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Pennod mewn Llyfr/Adroddiad/Trafodion CynhadleddTrafodion Cynhadledd (Nid-Cyfnodolyn fathau)

Crynodeb

We investigate the effect of a semi-infinite rectilinear crack on diffraction and reflection of antiplane shear waves in an elastic solid with microstructure. Waves are induced by moving shear traction vectors applied at the faces of the crack. The material behavior is described by the indeterminate theory of couple stress elasticity considering micro inertia. This elastic constitutive model accounts for the material microstructure and it is a special case of the micropolar theory; it was developed by Koiter [10] for the quasi-static regime and later extended by Eringen [3] to include dynamic effects. The full-field solution is obtained through integral transforms and the Wiener-Hopf technique [18] and it may be used as a building block to solve general wave propagation problems in a cracked half-space in antiplane deformation. The solution differs significantly from the classical result given in [4] for isotropic elastic materials. Indeed, unlike classical elasticity, antiplane shear Rayleigh waves are supported in couple stress materials [17]. A complicated wave pattern appears which consists of entrained waves extending away from the crack, reflected Rayleigh waves, localized waves irradiating from and body waves scattered by the crack-tip. Wave diffraction and interference brings an important contribution to the stress intensity factors originally presented in [20] in the static framework. Resonance is triggered when the applied loading is fed into the crack-tip at Rayleigh speed and this result is confirmed by the evaluation of the energy release rate.

Iaith wreiddiolSaesneg
TeitlProceedings of 24th AIMETA Conference 2019
GolygyddionAntonio Carcaterra, Giorgio Graziani, Achille Paolone
CyhoeddwrSpringer Nature
Tudalennau137-150
Nifer y tudalennau14
ISBN (Argraffiad)9783030410568
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 31 Maw 2020
Digwyddiad24th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2019 - Rome, Yr Eidal
Hyd: 15 Medi 201919 Medi 2019

Cyfres gyhoeddiadau

EnwLecture Notes in Mechanical Engineering
ISSN (Argraffiad)2195-4356
ISSN (Electronig)2195-4364

Cynhadledd

Cynhadledd24th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2019
Gwlad/TiriogaethYr Eidal
DinasRome
Cyfnod15 Medi 201919 Medi 2019

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