A Finite Element Formulation and Nonlocal Theory for the Static and Free Vibration Analysis of the Sandwich Functionally Graded Nanoplates Resting on Elastic Foundation
Joint Authors
Nguyen-Thoi, Trung
Tran, Van-Ke
Tran, Thanh-Trung
Phung, Minh-Van
Pham, Quoc-Hoa
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
This article presents a finite element method (FEM) integrated with the nonlocal theory for analysis of the static bending and free vibration of the sandwich functionally graded (FG) nanoplates resting on the elastic foundation (EF).
Material properties of nanoplates are assumed to vary through thickness following two types (Type A with homogeneous core and FG material for upper and lower layers and Type B with FG material core and homogeneous materials for upper and lower layers).
In this study, the formulation of the four-node quadrilateral element based on the mixed interpolation of tensorial components (MITC4) is used to avoid “the shear-locking” problem.
On the basis of Hamilton’s principle and the nonlocal theory, the governing equations for the sandwich FG nanoplates are derived.
The results of the proposed model are compared with published works to verify the accuracy and reliability.
Furthermore, the effects of geometric parameters and material properties on the static and free vibration behaviors of nanoplates are investigated in detail.
American Psychological Association (APA)
Tran, Van-Ke& Tran, Thanh-Trung& Phung, Minh-Van& Pham, Quoc-Hoa& Nguyen-Thoi, Trung. 2020. A Finite Element Formulation and Nonlocal Theory for the Static and Free Vibration Analysis of the Sandwich Functionally Graded Nanoplates Resting on Elastic Foundation. Journal of Nanomaterials،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1188590
Modern Language Association (MLA)
Tran, Van-Ke…[et al.]. A Finite Element Formulation and Nonlocal Theory for the Static and Free Vibration Analysis of the Sandwich Functionally Graded Nanoplates Resting on Elastic Foundation. Journal of Nanomaterials No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1188590
American Medical Association (AMA)
Tran, Van-Ke& Tran, Thanh-Trung& Phung, Minh-Van& Pham, Quoc-Hoa& Nguyen-Thoi, Trung. A Finite Element Formulation and Nonlocal Theory for the Static and Free Vibration Analysis of the Sandwich Functionally Graded Nanoplates Resting on Elastic Foundation. Journal of Nanomaterials. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1188590
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188590