Interaction analysis revisited by generalized finite difference method with perfectly matched layer

• Published in: Soil dynamics and earthquake engineering (1984) 2023-07, Vol.170, p.107923, Article 107923
• Main Authors: Mengi, Yalcin, Korkut, Fuat
• Format: Article
• Language: English
• Subjects: Generalized finite difference; Inclined waves; Input motion function; Interaction; Perfectly matched; Rayleigh waves
• ISSN: 0267-7261; 1879-341X
• DOI: 10.1016/j.soildyn.2023.107923

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 θvθcr for the reasons discussed in the study, where θv and θcr 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). •A formulation eliminating scattering analysis in interaction problems.•The use of GFDM with PML in interaction analysis.•The use of complex stretching coordinates in PML analysis.•Investigation of the situation when the seismic input in interaction analysis is induced by P-SV waves with inclination of SV waves being smaller than its critical value, and the simulation of that input by Rayleigh waves.•Proposition of a rigorous computational model for the lining analysis of tunnels under the influence of earthquake excitation.