Dynamic BEM analysis of elastic foundation on anisotropic half-plane

Dynamic BEM analysis of elastic anisotropic nano‐sheet with surface imperfections and cavities

“…The authors’ BEM software is verified additionally for the following benchmark examples: (a) P‐ and SV‐waves scattering by a semicircular canyon in a homogeneous elastic, isotropic half‐plane, where the authors’ results are compared successfully with those obtained by Alvarez Rubio et al. [66] in Parvanova and Dineva [68]; (b) P‐ and SV‐wave scattering by a semicircular canyon in an elastic transversely isotropic half‐plane, where the authors’ solutions recover the results obtained by Ba et al. [69] who use the indirect BEM, see Parvanova and Dineva [68]; (c) Two circular cavities at a prescribed distance in a homogeneous elastic transversely isotropic half‐plane under incident normal time‐harmonic P‐wave.…”

“…The comparison results in Figures 2,3 illustrate that the proposed numerical BEM scheme works accurately and can be used for the simulations presented in the next section. The authors' BEM software is verified additionally for the following benchmark examples: (a) P-and SV-waves scattering by a semicircular canyon in a homogeneous elastic, isotropic halfplane, where the authors' results are compared successfully with those obtained by Alvarez Rubio et al [66] in Parvanova and Dineva [68]; (b) P-and SV-wave scattering by a semicircular canyon in an elastic transversely isotropic half-plane, where the authors' solutions recover the results obtained by Ba et al [69] who use the indirect BEM, see Parvanova and Dineva [68]; (c) Two circular cavities at a prescribed distance in a homogeneous elastic transversely isotropic half-plane under incident normal time-harmonic P-wave. Numerical experiments illustrate the well-known fact that at a great separation distance between both cavities, the solutions for displacements recover the corresponding solutions for the reference single cavity.…”

“…[66] in Parvanova and Dineva [68]; (b) P‐ and SV‐wave scattering by a semicircular canyon in an elastic transversely isotropic half‐plane, where the authors’ solutions recover the results obtained by Ba et al. [69] who use the indirect BEM, see Parvanova and Dineva [68]; (c) Two circular cavities at a prescribed distance in a homogeneous elastic transversely isotropic half‐plane under incident normal time‐harmonic P‐wave. Numerical experiments illustrate the well‐known fact that at a great separation distance between both cavities, the solutions for displacements recover the corresponding solutions for the reference single cavity.…”