Postbuckling analysis of nonlocal functionally graded beams

IF 1.4 4区工程技术 Q3 ENGINEERING, CIVIL Latin American Journal of Solids and Structures Pub Date : 2021-10-22 DOI:10.1590/1679-78256699

K. Soncco, K. N. Betancourt, R. Arciniega, J. Reddy

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引用次数: 4

Abstract

Abstract The main goal of this research is to study the postbuckling behavior of nonlocal functionally graded beams. Eringen’s nonlocal differential model is used to evaluate the influence of the material length scale in the bending response. An improved shear deformation beam theory with five independent parameters is utilized, which is suitable for the use of 3D constitutive equations. A finite element model is derived with spectral high-order interpolation functions to avoid shear locking. The formulation is verified by comparing the present results with the ones found in the literature. Functionally graded beams with different boundary conditions, nonlocal parameters, and power law indices are analyzed. It is shown that the present model can accurately predict the behavior of nonlocal beams due to the use of high-order terms in the displacement field in comparison with classical beam formulations. Finally, new benchmark problems are analyzed to show the capabilities of the present model to evaluate the effect of the nonlocal parameter and the power law index on postbuckling beam behavior.

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非局部功能梯度梁的后屈曲分析

摘要本研究的主要目的是研究非局部功能梯度梁的后屈曲行为。Eringen的非局部微分模型用于评估材料长度尺度对弯曲响应的影响。采用了一种改进的具有五个独立参数的剪切变形梁理论，该理论适用于三维本构方程。为了避免剪切锁定，利用谱高阶插值函数建立了有限元模型。通过将目前的结果与文献中发现的结果进行比较来验证该配方。分析了具有不同边界条件、非局部参数和幂律指标的功能梯度梁。结果表明，与经典梁公式相比，由于在位移场中使用了高阶项，本模型可以准确地预测非局部梁的行为。最后，分析了新的基准问题，以表明该模型能够评估非局部参数和幂律指标对后屈曲梁性能的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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