Interaction Analysis Revisited by Generalized Finite Difference Method With Perfectly Matched Layer

Abstract

A unified formulation is given for solid-solid interaction problems. For the description of the formulation, the embedded foundation problem is considered with interaction interface being taken as either flexible or rigid. Introducing a transfer function relating free field displacements at interaction interface to seismic excitation, a formula is established for the evaluation of all the elements of input matrix at a single step without using complicated scattering analysis. Some sample problems are considered in the study for the assessment of the formulation. In the in-plane problem, involving an infinitely long rigid embedded foundation under the influence of inclined P-SV or Rayleigh waves, it is found that the behavior of input motion functions for Ov<Ocr are drastically different from those of Ov>Ocr for the reasons discussed in the study, where Ov and Ocr are respectively the inclination and critical angles for SV waves. The computations in the work are carried out by generalized finite difference method (GFDM) together with perfectly matched layer (PML).