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- W4387304821 abstract "Boundary integral formulation of 3D problems on the normal incidence of time-harmonic longitudinal elastic wave on a one-periodic array of coplanar rigid disk-shaped inclusions is given. A boundary integral equation for the jump of normal stresses across the reference inclusion surfaces is deduced by applying the periodicity conditions. The dynamic interaction in a periodic chain of wave scatterers is described by Green’s function written in terms of the exponentially convergent Fourier integrals. Regular analog of the equation is obtained involving the singularity subtraction and mapping techniques, which allows its numerical solution for a wide range of wave numbers. The dynamic translation of the inclusions as rigid units and the dynamic stress intensity factor in the inclusion vicinities are computed and analyzed depending on the wave number, the periodicity length of the array, and the mass of constituent inclusions." @default.
- W4387304821 created "2023-10-04" @default.
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- W4387304821 date "2023-01-01" @default.
- W4387304821 modified "2023-10-05" @default.
- W4387304821 title "Boundary Integral Equation Method for 3D Elastodynamic Problems with Chain-Arranged Rigid Disk-Shaped Inclusions" @default.
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- W4387304821 doi "https://doi.org/10.1007/978-3-031-37313-8_22" @default.
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