利用 TRPIM 路径跟踪无网格方法研究碳纳米管和石墨烯平板增强多孔复合梁的弯曲和屈曲行为

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
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引用次数: 0

摘要

本研究的目的是研究用石墨烯平板(GPL)和支撑碳纳米管(CNT)加固的多孔梁的非线性行为,分别称为功能分级石墨烯平板加固复合梁(FG-GPLRC)和功能分级纳米管碳加固复合梁(FG-CNTRC)。值得注意的是,研究人员探讨了 GPL/CNT 在整个梁厚度上的均匀和非均匀分布。这项研究的与众不同之处在于,它采用了改进的梁模型作为增强型 FSDT,其中包含了非线性剪切项,这对于准确捕捉特定边界条件下的后屈曲响应是一个至关重要的进步,而这正是现有 FSDT 文献所缺乏的。通过对包含立方非线性的控制方程进行求解,创新性地得出了屈曲后载荷-挠度关系。这是通过采用 Galerkin 方法和基于渐近数值方法的非迭代高阶延续技术,再加上 Tchebychev-radial 点插值法 (TRPIM),利用路径跟踪,通过消除对迭代过程的需求,逐支求解来实现的。从本质上讲,这项研究强调了多孔性和 GPL/CNT 增强在塑造完美和不完美纳米复合梁的屈曲后构型中的关键作用,从而推进了我们对多孔纳米复合材料结构行为的理解。本研究的结果阐明了孔隙度系数、孔隙度分布、GPL/CNT 分布和 GPL 重量/CNT 体积分数等参数对多孔梁非线性屈曲行为的重要影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Investigating the bending and buckling behaviors of composite porous beams reinforced with carbon nanotubes and graphene platelets using a TRPIM path following mesh-free approach

The aim of the present work consists in investigating the nonlinear behavior of porous beams reinforced with graphene platelets (GPL) and supported carbon nanotubes (CNT), termed functionally graded graphene platelets reinforced composite beam (FG-GPLRC) and functionally graded nanotube carbon reinforced composite beam (FG-CNTRC), respectively. Notably, the distribution of GPL/CNT is explored in both uniform and non-uniform patterns across the beam's thickness. What sets this research apart is its utilization of a refined beam model as enhanced FSDT incorporating nonlinear shear terms which is a crucial advancement in accurately capturing the post-buckling response in certain boundary conditions, a feature lacking in the existing FSDT literature. Innovatively, the post-buckling load-deflection relationship is derived through the solution of governing equations incorporating cubic nonlinearity. This is achieved by employing Galerkin's method alongside a non-iterative high-order continuation technique based on the asymptotic numerical method coupled with the Tchebychev-radial point interpolation method (TRPIM), using a path-following where the solutions are obtained branch-by-branch by eliminating the need for iterative processes. In essence, this research underscores the pivotal role of porosity and GPL/CNT reinforcement in shaping the post-buckling configuration of both perfect and imperfect nanocomposite beams, thereby advancing our understanding of structural behavior in porous nanocomposite materials. The findings of this study illuminate the significant influence of parameters such as porosity coefficient, porosity distribution, GPL/CNT distribution, and GPL-weight/CNT-volume fraction on the nonlinear buckling behavior of porous beams.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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