The use of FFT algorithm for circumferential coordinate in axisymmetric analysis of solids by generalized finite difference method

Korkut F., Mengi Y.

Computers and Geotechnics, vol.162, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 162
  • Publication Date: 2023
  • Doi Number: 10.1016/j.compgeo.2023.105683
  • Journal Name: Computers and Geotechnics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Computer & Applied Sciences, Geobase, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Keywords: Axisymmetric, Complex Fourier series, Generalized finite difference, Meshless, Perfectly matched layer, Wave propagation
  • Middle East Technical University Affiliated: Yes

Abstract

A formulation is presented for GFDM analysis of axisymmetric viscoelastic bodies under general loading conditions. The proposed formulation reduces the dimension of analysis by one by using complex Fourier series for circumferential coordinate ((θ) dependency) of field variables. For θ (Fourier) transform computations, the discrete Fourier transform formulas with FFT algorithm are employed. Radiational effects are accounted for through the use of perfectly matched layer (PML) with the equation being modified in accordance with the proposed formulation. For the assessment of the formulation, several sample problems are presented. The results indicate its capability in estimating the response even for that requiring sensitive analysis, such as, those in wave propagation analysis.