Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate
The present study investigates the wave propagation characteristics of porous, multi-directional, functionally graded (FG) nanoplates embedded in a Kerr-elastic substrate. A first-order shear deformation model (FSDM) and the nonlocal strain gradient approach (NSGA) are utilized to address this issue...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202723001258 |
| _version_ | 1797401671139065856 |
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| author | Pouyan Roodgar Saffari Chanachai Thongchom Thira Jearsiripongkul Peyman Roodgar Saffari Suraparb Keawsawasvong Suphanut Kongwat |
| author_facet | Pouyan Roodgar Saffari Chanachai Thongchom Thira Jearsiripongkul Peyman Roodgar Saffari Suraparb Keawsawasvong Suphanut Kongwat |
| author_sort | Pouyan Roodgar Saffari |
| collection | DOAJ |
| description | The present study investigates the wave propagation characteristics of porous, multi-directional, functionally graded (FG) nanoplates embedded in a Kerr-elastic substrate. A first-order shear deformation model (FSDM) and the nonlocal strain gradient approach (NSGA) are utilized to address this issue. The NSGA is enhanced by considering softening and hardening material effects, leading to improved accuracy in the obtained results. In accordance with the law of mixing, the material properties of the nanoplates exhibit nonlinear temperature-dependent variations along the structural axes. Both even and uneven porosity profiles are considered in this study. The nonclassical governing equations for the proposed structure are derived using Hamilton's approach. The phase velocity and wave frequency are determined through the analytical solution of an eigenvalue problem, which depends on the wave number. The dispersion properties of waves in porous FG nanoplates are examined with respect to various factors, including porosity distributions, wave numbers, nonlocal and strain gradient effects, elastic foundation coefficients, and volume fraction index. The main findings of the study indicate that increasing the volume fraction index in the thickness direction leads to a decrease in the phase velocity and frequency of wave propagation in a porous FG nanoplate for a given wave number. Additionally, regardless of the porosity pattern, an increase in the porosity coefficient results in a decrease in wave frequency and phase velocity. |
| first_indexed | 2024-03-09T02:13:27Z |
| format | Article |
| id | doaj.art-32a8a06113444b2f8f2ac96cd18168f5 |
| institution | Directory Open Access Journal |
| issn | 2666-2027 |
| language | English |
| last_indexed | 2024-03-09T02:13:27Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj.art-32a8a06113444b2f8f2ac96cd18168f52023-12-07T05:30:39ZengElsevierInternational Journal of Thermofluids2666-20272023-11-0120100408Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substratePouyan Roodgar Saffari0Chanachai Thongchom1Thira Jearsiripongkul2Peyman Roodgar Saffari3Suraparb Keawsawasvong4Suphanut Kongwat5Department of Civil Engineering, Faculty of Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani 12120, Thailand; Corresponding authors.Department of Civil Engineering, Faculty of Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani 12120, Thailand; Corresponding authors.Department of Mechanical Engineering, Faculty of Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani 12120, ThailandDepartment of Civil Engineering, Faculty of Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani 12120, ThailandDepartment of Civil Engineering, Faculty of Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani 12120, ThailandDepartment of Mechanical Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok, 10140, Thailand; Future Automotive Structure Research Group (FASt), Mobility and Vehicle Technology Research Center, King Mongkut's University of Technology Thonburi, Bangkok, 10140, ThailandThe present study investigates the wave propagation characteristics of porous, multi-directional, functionally graded (FG) nanoplates embedded in a Kerr-elastic substrate. A first-order shear deformation model (FSDM) and the nonlocal strain gradient approach (NSGA) are utilized to address this issue. The NSGA is enhanced by considering softening and hardening material effects, leading to improved accuracy in the obtained results. In accordance with the law of mixing, the material properties of the nanoplates exhibit nonlinear temperature-dependent variations along the structural axes. Both even and uneven porosity profiles are considered in this study. The nonclassical governing equations for the proposed structure are derived using Hamilton's approach. The phase velocity and wave frequency are determined through the analytical solution of an eigenvalue problem, which depends on the wave number. The dispersion properties of waves in porous FG nanoplates are examined with respect to various factors, including porosity distributions, wave numbers, nonlocal and strain gradient effects, elastic foundation coefficients, and volume fraction index. The main findings of the study indicate that increasing the volume fraction index in the thickness direction leads to a decrease in the phase velocity and frequency of wave propagation in a porous FG nanoplate for a given wave number. Additionally, regardless of the porosity pattern, an increase in the porosity coefficient results in a decrease in wave frequency and phase velocity.http://www.sciencedirect.com/science/article/pii/S2666202723001258Nonlinear temperature-dependencyWave propagationPorosityNonlocal strain gradient approachBi-directional FG nanoplate |
| spellingShingle | Pouyan Roodgar Saffari Chanachai Thongchom Thira Jearsiripongkul Peyman Roodgar Saffari Suraparb Keawsawasvong Suphanut Kongwat Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate International Journal of Thermofluids Nonlinear temperature-dependency Wave propagation Porosity Nonlocal strain gradient approach Bi-directional FG nanoplate |
| title | Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate |
| title_full | Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate |
| title_fullStr | Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate |
| title_full_unstemmed | Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate |
| title_short | Porosity-dependent wave propagation in multi-directional functionally graded nanoplate with nonlinear temperature-dependent characteristics on Kerr-type substrate |
| title_sort | porosity dependent wave propagation in multi directional functionally graded nanoplate with nonlinear temperature dependent characteristics on kerr type substrate |
| topic | Nonlinear temperature-dependency Wave propagation Porosity Nonlocal strain gradient approach Bi-directional FG nanoplate |
| url | http://www.sciencedirect.com/science/article/pii/S2666202723001258 |
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