Large Deflections of Functionally Graded Non-Linearly Elastic Cantilever Beams

IF 1.5 4区 材料科学 Q3 ENGINEERING, MECHANICAL
Ayhan Hacioglu, Adem Candaş, C. Baykara
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引用次数: 2

Abstract

Uses of functionally graded materials (FGMs) is increasing owing to recent development in manufacturing technologies. Large deflection of beams that made of nonlinearly elastic, Ludwick's type of material and also FGMs has received considerable critical attention during recent years. However, the precise effect of number of laminae on both vertical and horizontal deflection of the beam in the finite element analysis (FEA) are unknown. Here, we examined the large deflections of a cantilever beam that subjected various loading conditions and made of nonlinearly elastic, modified Ludwick's type of material using FEA. The direction dependent material properties in the functionally graded material and non-linearity from modified Ludwick law are combined in the analysis by using Marlow's material model. Our results show that gradient function and number of laminae have significant effect on stress distribution through the thickness and the both vertical and horizontal deflection of the beam.
功能梯度非线性弹性悬臂梁的大挠度
由于制造技术的最新发展,功能梯度材料的使用正在增加。由非线性弹性、Ludwick类型的材料以及FGM制成的梁的大挠度近年来受到了相当大的关注。然而,在有限元分析(FEA)中,层压板数量对梁的垂直和水平偏转的精确影响是未知的。在这里,我们使用有限元分析研究了悬臂梁的大挠度,该悬臂梁承受各种载荷条件,由非线性弹性、改良的Ludwick型材料制成。利用Marlow材料模型,将功能梯度材料中的方向相关材料特性与修正的Ludwick定律中的非线性相结合进行分析。研究结果表明,梯度函数和层片数量对梁的应力分布以及梁的垂直和水平挠度都有显著影响。
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来源期刊
CiteScore
3.00
自引率
0.00%
发文量
30
审稿时长
4.5 months
期刊介绍: Multiscale characterization, modeling, and experiments; High-temperature creep, fatigue, and fracture; Elastic-plastic behavior; Environmental effects on material response, constitutive relations, materials processing, and microstructure mechanical property relationships
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