TY - JOUR
T1 - Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia
AU - Nobili, Andrea
AU - Radi, Enrico
AU - Vellender, Adam
N1 - Funding Information:
The authors wish to thank Prof. G. Mishuris for his valuable comments. AV acknowledges the ERC Grant “Instabilities” for supporting his short stay in Trento University working on this paper. AN gratefully acknowledges support from National Group of Mathematical Physics (GNFM- INdAM ) through the Young researchers fellowship programme 2017, Prot. n. U UFMBAZ-2017/0000259 08/06/2017 .
Funding Information:
The authors wish to thank Prof. G. Mishuris for his valuable comments. AV acknowledges the ERC Grant “Instabilities” for supporting his short stay in Trento University working on this paper. AN gratefully acknowledges support from National Group of Mathematical Physics (GNFM-INdAM) through the Young researchers fellowship programme 2017, Prot. n. U UFMBAZ-2017/0000259 08/06/2017.
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/3/1
Y1 - 2019/3/1
N2 - We investigate diffraction of reduced traction shear waves applied at the faces of a stationary crack in an elastic solid with microstructure, under antiplane deformation. The material behaviour is described by the indeterminate theory of couple stress elasticity and the crack is rectilinear and semi-infinite. The full-field solution of the crack problem is obtained through integral transforms and the Wiener–Hopf technique. A remarkable wave pattern appears which consists of entrained waves extending away from the crack, reflected Rayleigh waves moving along the crack, localized waves irradiating from the crack-tip with, possibly, super-Rayleigh speed and body waves scattered around the crack-tip. Interestingly, the localized wave solution may be greatly advantageous for defect detection through acoustic emission. Dynamic stress intensity factors are presented, which generalize to Elastodynamics the corresponding results already obtained in the static framework. The correction brings out the important role of wave diffraction on stress concentration.
AB - We investigate diffraction of reduced traction shear waves applied at the faces of a stationary crack in an elastic solid with microstructure, under antiplane deformation. The material behaviour is described by the indeterminate theory of couple stress elasticity and the crack is rectilinear and semi-infinite. The full-field solution of the crack problem is obtained through integral transforms and the Wiener–Hopf technique. A remarkable wave pattern appears which consists of entrained waves extending away from the crack, reflected Rayleigh waves moving along the crack, localized waves irradiating from the crack-tip with, possibly, super-Rayleigh speed and body waves scattered around the crack-tip. Interestingly, the localized wave solution may be greatly advantageous for defect detection through acoustic emission. Dynamic stress intensity factors are presented, which generalize to Elastodynamics the corresponding results already obtained in the static framework. The correction brings out the important role of wave diffraction on stress concentration.
KW - couple stress
KW - wave diffraction
KW - Rayliegh waves
KW - dynamic stress intensity factor
KW - Wave diffraction
KW - Rayleigh waves
KW - Dynamic stress intensity factor
KW - Couple stress
UR - http://www.scopus.com/inward/record.url?scp=85057831281&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2018.11.013
DO - 10.1016/j.jmps.2018.11.013
M3 - Article
SN - 0022-5096
VL - 124
SP - 663
EP - 680
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
ER -
