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Mechanical Properties of Additively Manufactured Thick Honeycombs

机译:增材制造的厚蜂窝的机械性能

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摘要

Honeycombs resemble the structure of a number of natural and biological materials such as cancellous bone, wood, and cork. Thick honeycomb could be also used for energy absorption applications. Moreover, studying the mechanical behavior of honeycombs under in-plane loading could help understanding the mechanical behavior of more complex 3D tessellated structures such as porous biomaterials. In this paper, we study the mechanical behavior of thick honeycombs made using additive manufacturing techniques that allow for fabrication of honeycombs with arbitrary and precisely controlled thickness. Thick honeycombs with different wall thicknesses were produced from polylactic acid (PLA) using fused deposition modelling, i.e., an additive manufacturing technique. The samples were mechanically tested in-plane under compression to determine their mechanical properties. We also obtained exact analytical solutions for the stiffness matrix of thick hexagonal honeycombs using both Euler-Bernoulli and Timoshenko beam theories. The stiffness matrix was then used to derive analytical relationships that describe the elastic modulus, yield stress, and Poisson’s ratio of thick honeycombs. Finite element models were also built for computational analysis of the mechanical behavior of thick honeycombs under compression. The mechanical properties obtained using our analytical relationships were compared with experimental observations and computational results as well as with analytical solutions available in the literature. It was found that the analytical solutions presented here are in good agreement with experimental and computational results even for very thick honeycombs, whereas the analytical solutions available in the literature show a large deviation from experimental observation, computational results, and our analytical solutions.
机译:蜂窝类似于许多天然和生物材料的结构,例如松质骨,木材和软木塞。厚蜂窝也可用于能量吸收应用。此外,研究蜂窝在平面内载荷下的机械行为可能有助于理解更复杂的3D棋盘格化结构(例如多孔生物材料)的机械行为。在本文中,我们研究了使用增材制造技术制成的厚蜂窝的机械性能,这种增厚制造技术允许制造厚度任意且精确控制的蜂窝。使用熔融沉积模型,即增材制造技术,由聚乳酸(PLA)生产出具有不同壁厚的厚蜂窝。在压缩状态下对样品进行面内机械测试,以确定其机械性能。我们还使用Euler-Bernoulli和Timoshenko梁理论获得了厚六角形蜂窝刚度矩阵的精确解析解。然后,使用刚度矩阵导出分析关系,这些关系描述了厚蜂窝的弹性模量,屈服应力和泊松比。还建立了有限元模型,用于对压缩下的厚蜂窝的力学行为进行计算分析。使用我们的分析关系获得的机械性能与实验观察结果和计算结果以及文献中提供的分析解决方案进行了比较。结果发现,即使对于非常厚的蜂窝,此处提供的分析解决方案也与实验和计算结果非常吻合,而文献中提供的分析解决方案与实验观察结果,计算结果和我们的分析解决方案存在较大差异。

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