Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme

Farzad Ebrahimi, Ali Dabbagh, Timon Rabczuk, Francesco Tornabene

Research output: Contribution to journalArticle

1 Citation (Scopus)


The important effect of porosity on the mechanical behaviors of a continua makes it necessary to account for such an effect while analyzing a structure. motivated by this fact, a new two-step porosity dependent homogenization scheme is presented in this article to investigate the wave propagation responses of functionally graded (FG) porous nanobeams. In the introduced homogenization method, which is a modified form of the power-law model, the effects of porosity distributions are considered. Based on Hamilton's principle, the Navier equations are developed using the Euler-Bernoulli beam model. Thereafter, the constitutive equations are obtained employing the nonlocal elasticity theory of Eringen. Next, the governing equations are solved in order to reach the wave frequency. Once the validity of presented methodology is proved, a set of parametric studies are adapted to put emphasis on the role of each variant on the wave dispersion behaviors of porous FG nanobeams.

Original languageEnglish
Pages (from-to)135-143
Number of pages9
JournalAdvances in Nano Research
Issue number2
Publication statusPublished - 2019 Mar 1



  • Functionally graded materials (FGMs)
  • Nonlocal elasticity theory
  • Porous materials
  • Wave propagation

ASJC Scopus subject areas

  • Biotechnology
  • Catalysis
  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Atomic and Molecular Physics, and Optics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Electrical and Electronic Engineering

Cite this