The Localized Boundary Integral Equation-Discrete Wavenumber Method for Simulating P-SV Wave Scattering by an Irregular Topography

2008 ◽  
Vol 98 (1) ◽  
pp. 265-279 ◽  
Author(s):  
H. Zhou ◽  
X. Chen
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Wave Scattering ◽  
Boundary Integral ◽  
Irregular Topography ◽  
Discrete Wavenumber Method

scholarly journals Wave Scattering by Cracks at Macro- and Nano-Scale in Anisotropic Plane by Boundary Integral Equation Method

2016 ◽  
Vol 46 (4) ◽  
pp. 19-35 ◽  
Author(s):  
Petia Dineva ◽  
Tsviatko Rangelov
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Wave Scattering ◽  
Surface Elasticity ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Nano Scale ◽  
Subsequent Step

AbstractElastic wave scattering by cracks at macro- and nano-scale in anisotropic plane under conditions of plane strain is studied in this work. Furthermore, time-harmonic loads due to incident plane longitudinal P- or shear SV- wave are assumed to hold. In a subsequent step, the elastodynamic fundamental solution for general anisotropic continua derived in closed-form via the Radon transform is implemented in a numerical scheme based on the traction boundary integral equation method (BIEM). The surface elasticity effect in the case of nano-crack is taken into consideration via non-classical boundary condition along the crack surface proposed by Gurtin and Murdoch [1]. The numerical results obtained herein reveal substantial differences between anisotropic materials containing a macro- and a nano-crack in terms of their dynamic stress response, where the latter case demonstrates clearly the strong influence of the size-effects. Finally, these types of examples serve to illustrate the present approach and to show its potential for evaluating the stress concentration fields (SCF) inside cracked nanocomposites. The obtained results concern the reliability and safety of the advancing nanomaterials.

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