Hedayati R, Sadighi M, Mohammadi-Aghdam M, Zadpoor A A
Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Hafez Ave, Tehran, Iran; Department of Biomechanical Engineering, Faculty of Mechanical, Maritime, and Materials Engineering, Delft University of Technology (TU Delft), Mekelweg 2, 2628 CD Delft, The Netherlands.
Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Hafez Ave, Tehran, Iran.
Mater Sci Eng C Mater Biol Appl. 2016 Dec 1;69:1307-17. doi: 10.1016/j.msec.2016.08.020. Epub 2016 Aug 8.
Honeycomb structures have found numerous applications as structural and biomedical materials due to their favourable properties such as low weight, high stiffness, and porosity. Application of additive manufacturing and 3D printing techniques allows for manufacturing of honeycombs with arbitrary shape and wall thickness, opening the way for optimizing the mechanical and physical properties for specific applications. In this study, the mechanical properties of honeycomb structures with a new geometry, called octagonal honeycomb, were investigated using analytical, numerical, and experimental approaches. An additive manufacturing technique, namely fused deposition modelling, was used to fabricate the honeycomb from polylactic acid (PLA). The honeycombs structures were then mechanically tested under compression and the mechanical properties of the structures were determined. In addition, the Euler-Bernoulli and Timoshenko beam theories were used for deriving analytical relationships for elastic modulus, yield stress, Poisson's ratio, and buckling stress of this new design of honeycomb structures. Finite element models were also created to analyse the mechanical behaviour of the honeycombs computationally. The analytical solutions obtained using Timoshenko beam theory were close to computational results in terms of elastic modulus, Poisson's ratio and yield stress, especially for relative densities smaller than 25%. The analytical solutions based on the Timoshenko analytical solution and the computational results were in good agreement with experimental observations. Finally, the elastic properties of the proposed honeycomb structure were compared to those of other honeycomb structures such as square, triangular, hexagonal, mixed, diamond, and Kagome. The octagonal honeycomb showed yield stress and elastic modulus values very close to those of regular hexagonal honeycombs and lower than the other considered honeycombs.
蜂窝结构因其具有诸如低重量、高刚度和孔隙率等良好性能,已在结构材料和生物医学材料领域得到了广泛应用。增材制造和3D打印技术的应用使得能够制造出具有任意形状和壁厚的蜂窝结构,为针对特定应用优化其力学和物理性能开辟了道路。在本研究中,采用解析、数值和实验方法,对一种名为八角形蜂窝的新型几何形状蜂窝结构的力学性能进行了研究。使用一种增材制造技术,即熔融沉积建模,由聚乳酸(PLA)制造蜂窝结构。然后对蜂窝结构进行压缩力学测试,并确定其力学性能。此外,还利用欧拉 - 伯努利梁理论和铁木辛柯梁理论推导出这种新型蜂窝结构的弹性模量、屈服应力、泊松比和屈曲应力的解析关系式。还创建了有限元模型,以通过计算分析蜂窝结构的力学行为。就弹性模量、泊松比和屈服应力而言,使用铁木辛柯梁理论获得的解析解与计算结果接近,特别是对于相对密度小于25%的情况。基于铁木辛柯解析解的解析解与计算结果与实验观测结果吻合良好。最后,将所提出的蜂窝结构的弹性性能与其他蜂窝结构(如方形、三角形、六边形、混合形、菱形和卡戈梅形)的弹性性能进行了比较。八角形蜂窝的屈服应力和弹性模量值与正六边形蜂窝非常接近,且低于其他所考虑的蜂窝结构。