A fast and accurate method to compute dispersion spectra for layered media using a modified Kausel-Roësset stiffness matrix approach. Issue 92 (January 2017)

• Record Type: Journal Article
• Authors: Kumar, Jyant; Naskar, Tarun
• Is Part Of: Soil dynamics and earthquake engineering. Issue 92(2017)
• Page Start: 176
• Page End: 182
• Publication Date: 2017-01
• Subjects: Dispersion -- Non-destructive testing -- Shear wave velocity -- Surface wave tests -- Wave propagation; Soil dynamics -- Periodicals; Earthquake engineering -- Periodicals; Sols -- Dynamique -- Périodiques; Génie parasismique -- Périodiques; 624.176205
• DOI: 10.1016/j.soildyn.2016.09.042
• Languages: English
• ISSNs: 0267-7261

Abstract

Abstract: This brief article presents a simple modification to the widely-used Kausel-Roësset Stiffness Matrix Method (SMM), and in particular to its implementation in the context of the Thin-Layer Method (TLM). This modification allows making fast and accurate computations of wavenumber spectra even for layered media underlain by infinitely deep half-spaces. As is well known, the TLM uses a finite element expansion in the depth direction, which in principle disallows exact representations of infinitely deep media other than through Paraxial Approximations or Perfectly Matched Layers. However, with the modification presented herein, that obstacle is removed. The very simple method is first presented and then demonstrated by means of examples involving layered half-spaces. Highlights: Method given for finding modal solutions for planar wave propagation. The effect of elastic half space included. Formulation solved as a quadratic Eigen value problem. Dispersion curves plotted for five ground profiles. Comparison and validation shown.