A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory
This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of...
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| Published in | Engineering analysis with boundary elements Vol. 143; pp. 124 - 136 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.10.2022
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated. |
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| AbstractList | This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated. |
| Author | Gao, Zhijian Pan, Feng Mahmoudi, Tayebeh Moradi, Zohre Khadimallah, Mohamed Amine Wang, Pin |
| Author_xml | – sequence: 1 givenname: Pin surname: Wang fullname: Wang, Pin organization: School of Mechanical and Electrical Engineering, Shenzhen Polytechnic, Shenzhen 518055, Guangdong, China – sequence: 2 givenname: Zhijian surname: Gao fullname: Gao, Zhijian organization: Guangdong Key Laboratory of Intelligent Information Processing and Shenzhen Key Laboratory of Media Security, Shenzhen 518060, Guangdong, China – sequence: 3 givenname: Feng surname: Pan fullname: Pan, Feng email: panfeng@szpt.edu.cn organization: School of Mechanical and Electrical Engineering, Shenzhen Polytechnic, Shenzhen 518055, Guangdong, China – sequence: 4 givenname: Zohre surname: Moradi fullname: Moradi, Zohre organization: Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University, 34149-16818 Qazvin, Iran – sequence: 5 givenname: Tayebeh orcidid: 0000-0002-7726-1087 surname: Mahmoudi fullname: Mahmoudi, Tayebeh organization: Hoonam Sanat Farnak, Engineering and Technology knowledge-based enterprise Company, Iran – sequence: 6 givenname: Mohamed Amine surname: Khadimallah fullname: Khadimallah, Mohamed Amine organization: Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia |
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| Keywords | High-order theory Zhang-Fu's tube model Timoshenko theory Two-dimensional functionally graded materials Nonlocal strain gradient theory Buckling |
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| SubjectTerms | Buckling High-order theory Nonlocal strain gradient theory Timoshenko theory Two-dimensional functionally graded materials Zhang-Fu's tube model |
| Title | A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory |
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