Abstract
A dispersion analysis method is developed for surface elastic waves in a semi-infinite ground, in which a periodic array of piles with finite length is arranged. A displacement solution is given by coupling of the finite element discretization and the plane wave description. In order to consider the finite piles, a semiinfinite unit cell is decomposed into two sub-domains, i.e., the upper layer including the pile and the lower semi-infinite region. The comprehensive solution is then constructed by imposing the continuity conditions on the interface between both domains. The dispersion analysis is reduced to a search for zeros of the determinant of solving matrix in an irreducible sub-region of the first Brillouin zone. Through numerical examples, the influence of the pile length on the band structure is discussed.
