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Title: Dynamic Behaviour of a Crack at Macro- and Nano- Scale in Anisotropic Plane by BIEM
Authors: Rangelov, Tsviatko
Dineva, Petia
Keywords: Elastodynamics
Plain strain state
General anisotropy
Frequency domain
Issue Date: 2016
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 26, No 1, (2016), 177p-186p
Abstract: 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 [1] 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.
Description: [Rangelov Tsviatko; Рангелов Цвятко]; [Dineva Petia; Динева Петя]
ISSN: 0204-9805
Appears in Collections:2016 Volume 26

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