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基于改进的三阶剪切变形理论模型的多尺度功能梯度碳纳米管板的轴向与剪切屈曲分析：一种数值方法

Axial and Shear Buckling Analysis of Multiscale FGM Carbon Nanotube Plates Using the MTSDT Model: A Numerical Approach.

作者信息

Kumar Ravi, Kumar Ajay, Szafraniec Małgorzata, Barnat-Hunek Danuta, Styczeń Joanna

机构信息

Department of Civil Engineering, National Institutes of Technology Patna, Patna 800005, India.

Faculty of Civil Engineering and Architecture, Lublin University of Technology, Nadbystrzycka 40, 20-618 Lublin, Poland.

出版信息

Materials (Basel). 2022 Mar 24;15(7):2401. doi: 10.3390/ma15072401.

DOI:10.3390/ma15072401
PMID:35407735
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8999476/
Abstract

The present paper investigates the axial and shear buckling analysis of a carbon nanotube (CNT)-reinforced multiscale functionally graded material (FGM) plate. Modified third-order deformation theory (MTSDT) with transverse displacement variation is used. CNT materials are assumed to be uniformly distributed, and ceramic fibers are graded according to a power-law distribution of the volume fraction of the constituents. The effective material properties are obtained using the Halpin-Tsai equation and Voigt rule of the mixture approach. A MATLAB code is developed using nine noded iso-parametric elements containing 13 nodal unknowns at each node. The shear correction factor is eliminated in the present model, and top and bottom transverse shear stresses are imposed null to derive higher-order unknowns. Comparisons of the present results with those available in the literature confirm the accuracy of the existing model. The effects of material components, plate sizes, loading types, and boundary conditions on the critical buckling load are investigated. For the first time, the critical buckling loads of CNT-reinforced multiscale FGM rectangular plates with diverse boundary conditions are given, and they can be used as future references.

摘要

本文研究了碳纳米管（CNT）增强多尺度功能梯度材料（FGM）板的轴向和剪切屈曲分析。采用了考虑横向位移变化的修正三阶变形理论（MTSDT）。假定碳纳米管材料均匀分布，陶瓷纤维根据组分体积分数的幂律分布进行梯度变化。有效材料性能通过Halpin-Tsai方程和混合法则的Voigt规则获得。使用每个节点包含13个节点未知量的九节点等参单元开发了MATLAB代码。本模型中消除了剪切修正因子，并施加顶部和底部横向剪应力为零以推导高阶未知量。将本研究结果与文献中的结果进行比较，证实了现有模型的准确性。研究了材料组分、板尺寸、加载类型和边界条件对临界屈曲载荷的影响。首次给出了具有不同边界条件的碳纳米管增强多尺度功能梯度材料矩形板的临界屈曲载荷，可供未来参考。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/eaf5f8c0d740/materials-15-02401-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/78df37c882e8/materials-15-02401-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/f3b0f4a625bb/materials-15-02401-g006.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/158d1e399db0/materials-15-02401-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/1a7baf791c6b/materials-15-02401-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/5c4b9b3e7190/materials-15-02401-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/eaf5f8c0d740/materials-15-02401-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/548bb8ceddea/materials-15-02401-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/e0954977c8b0/materials-15-02401-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/8afeffe43832/materials-15-02401-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/b0eaf5c61620/materials-15-02401-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/78df37c882e8/materials-15-02401-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/f3b0f4a625bb/materials-15-02401-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/0f2ab3cc24bb/materials-15-02401-g007a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/158d1e399db0/materials-15-02401-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/1a7baf791c6b/materials-15-02401-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/5c4b9b3e7190/materials-15-02401-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b8d9/8999476/eaf5f8c0d740/materials-15-02401-g011.jpg

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