Abstract
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 language | English |
|---|---|
| Pages (from-to) | 135-143 |
| Number of pages | 9 |
| Journal | Advances in Nano Research |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 Mar 1 |
Fingerprint
Keywords
- 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
Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme. / Ebrahimi, Farzad; Dabbagh, Ali; Rabczuk, Timon; Tornabene, Francesco.
In: Advances in Nano Research, Vol. 7, No. 2, 01.03.2019, p. 135-143.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme
AU - Ebrahimi, Farzad
AU - Dabbagh, Ali
AU - Rabczuk, Timon
AU - Tornabene, Francesco
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - Functionally graded materials (FGMs)
KW - Nonlocal elasticity theory
KW - Porous materials
KW - Wave propagation
UR - http://www.scopus.com/inward/record.url?scp=85065287785&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065287785&partnerID=8YFLogxK
U2 - 10.12989/anr.2019.7.2.135
DO - 10.12989/anr.2019.7.2.135
M3 - Article
AN - SCOPUS:85065287785
VL - 7
SP - 135
EP - 143
JO - Advances in Nano Research
JF - Advances in Nano Research
SN - 2287-237X
IS - 2
ER -