Bending and Buckling of Circular Sandwich Plates with a Hardened Core
Hard-core sandwich plates are widely used in the field of aviation, aerospace, transportation, and construction thanks to their superior mechanical properties such as sound absorption, heat insulation, shock absorption, and so on. As an important form, the circular sandwich is very common in the fie...
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doaj-d10dcae55a0243259f738da9131a4b112021-08-26T14:01:43ZengMDPI AGMaterials1996-19442021-08-01144741474110.3390/ma14164741Bending and Buckling of Circular Sandwich Plates with a Hardened CoreZizi Pi0Zilong Zhou1Zongbai Deng2Shaofeng Wang3School of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaCollege of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaHard-core sandwich plates are widely used in the field of aviation, aerospace, transportation, and construction thanks to their superior mechanical properties such as sound absorption, heat insulation, shock absorption, and so on. As an important form, the circular sandwich is very common in the field of engineering. Thus, theoretical analysis and numerical simulation of bending and buckling for isotropic circular sandwich plates with a hard core (SP-HC) are conducted in this study. Firstly, the revised Reissner’s theory was used to derive the bending equations of isotropic circular SP-HC for the first time. Then, the analytic solutions to bending deformation for circular and annular sandwich SP-HCs under some loads and boundary conditions were obtained through the decoupled simplification. Secondly, an analytic solution to bending deformation for a simply supported annular SP-HC under uniformly distributed bending moment and shear force along the inner edge was given. Finally, the differential equations of buckling for circular SP-HCs in polar coordinates were derived to obtain the critical loads of overall instability of SP-HC under simply supported and fixed-end supported boundary conditions. Meanwhile, the numerical simulations using Nastran software were conducted to compare with the theoretical analyses using Reissner’s theory and the derived models in this study. The theoretical and numerical results showed that the present formula proposed in this study can be suitable to both SP-HC and SP-SC. The efforts can provide valuable information for safe and stable application of multi-functional composite material of SP-HC.https://www.mdpi.com/1996-1944/14/16/4741circular sandwich platesannular sandwich plateshard coreReissner’s theorybendingstability |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zizi Pi Zilong Zhou Zongbai Deng Shaofeng Wang |
spellingShingle |
Zizi Pi Zilong Zhou Zongbai Deng Shaofeng Wang Bending and Buckling of Circular Sandwich Plates with a Hardened Core Materials circular sandwich plates annular sandwich plates hard core Reissner’s theory bending stability |
author_facet |
Zizi Pi Zilong Zhou Zongbai Deng Shaofeng Wang |
author_sort |
Zizi Pi |
title |
Bending and Buckling of Circular Sandwich Plates with a Hardened Core |
title_short |
Bending and Buckling of Circular Sandwich Plates with a Hardened Core |
title_full |
Bending and Buckling of Circular Sandwich Plates with a Hardened Core |
title_fullStr |
Bending and Buckling of Circular Sandwich Plates with a Hardened Core |
title_full_unstemmed |
Bending and Buckling of Circular Sandwich Plates with a Hardened Core |
title_sort |
bending and buckling of circular sandwich plates with a hardened core |
publisher |
MDPI AG |
series |
Materials |
issn |
1996-1944 |
publishDate |
2021-08-01 |
description |
Hard-core sandwich plates are widely used in the field of aviation, aerospace, transportation, and construction thanks to their superior mechanical properties such as sound absorption, heat insulation, shock absorption, and so on. As an important form, the circular sandwich is very common in the field of engineering. Thus, theoretical analysis and numerical simulation of bending and buckling for isotropic circular sandwich plates with a hard core (SP-HC) are conducted in this study. Firstly, the revised Reissner’s theory was used to derive the bending equations of isotropic circular SP-HC for the first time. Then, the analytic solutions to bending deformation for circular and annular sandwich SP-HCs under some loads and boundary conditions were obtained through the decoupled simplification. Secondly, an analytic solution to bending deformation for a simply supported annular SP-HC under uniformly distributed bending moment and shear force along the inner edge was given. Finally, the differential equations of buckling for circular SP-HCs in polar coordinates were derived to obtain the critical loads of overall instability of SP-HC under simply supported and fixed-end supported boundary conditions. Meanwhile, the numerical simulations using Nastran software were conducted to compare with the theoretical analyses using Reissner’s theory and the derived models in this study. The theoretical and numerical results showed that the present formula proposed in this study can be suitable to both SP-HC and SP-SC. The efforts can provide valuable information for safe and stable application of multi-functional composite material of SP-HC. |
topic |
circular sandwich plates annular sandwich plates hard core Reissner’s theory bending stability |
url |
https://www.mdpi.com/1996-1944/14/16/4741 |
work_keys_str_mv |
AT zizipi bendingandbucklingofcircularsandwichplateswithahardenedcore AT zilongzhou bendingandbucklingofcircularsandwichplateswithahardenedcore AT zongbaideng bendingandbucklingofcircularsandwichplateswithahardenedcore AT shaofengwang bendingandbucklingofcircularsandwichplateswithahardenedcore |
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1721191869447143424 |