Elastodynamics Macro/Nano-crack Plain strain state General anisotropy Frequency domain BIEM SCF SIF
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 26, No 1, (2016), 177p-186p
The two-dimensional in-plane time-harmonic elastodynamic problem for anisotropic infinite plane with a crack at macro and nano scale subjected to incident plane longitudinal P or shear SV wave is studied. The continuum mechanics model of surface elasticity proposed by Gurtin and Murdoch  is applied to account for the effects of surface elasticity for a crack at nano-level. The non-hypersingular traction boundary integral equation method (BIEM) is used in conjunction with closed form frequency dependent fundamental solution, obtained by Radon transform. In addition a parametric study for the dynamic stress intensity factor (SIF) and stress concentration field (SCF) sensitivity to the frequency, crack-size, surface effects and material anisotropy is presented. 2010 Mathematics Subject Classification: 35Q74, 74S15, 74H35.