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Effects of high order deformations on the strength of planar lattice materials

ISSN号：0567-7718
期刊名称：Acta Mechanica Sinica
时间：0
页码：533-540
语言：英文
分类：O76[理学—晶体学]
作者机构：[1]Department of Engineering Mechanics,Tsinghua University, Beijing 100084, China
相关基金：The project supported by the National Natural Science Foundation of China （10632060）, and the Special Funds for the Major State Basic Research Projects of China （G2003CB615603, G2006CB601202）.
相关项目：物理波在超轻多孔材料和结构中的传播和吸收

关键词：二维晶格材料, 机械力学, 最佳设计, 技术性能, Planar lattice materials , Kagome , Mechanical properties , Optimal design

中文摘要：

格子材料在用作因为他们的优秀机械性质和多功能的人物，交换结构的带负担的结构，精力吸收元素和热的最后十年是吸引人的。然而，为在格子材料的倒塌之上的高顺序变丑的定量分析财务，为他们的应用重要，没被报导。关于高顺序变丑的收益表面的分析调查为二典型平面格子材料被执行：三角形并且 Kagome 格子独立。分析结果被有限元素方法验证(女性) 模拟。收益力量上的高顺序变丑的效果与相对密度增加，这被发现。Kagome 格子的弯曲效果是比有一样的相对密度和压力状态的三角形的的更明显的。当相对密度比大约 11.1% 高时，忽视弯曲效果计算的 Kagome 格子的收益力量在超过 10% 过高估计结果，它不能在设计应用被忽略。材料在纸表明了的二个格子的让步的表面也证实分析结果。

英文摘要：

Lattice materials have been attractive over the last decade for use as load-carrying structures, energy absorbing elements and heat exchanging structures because of their excellent mechanical properties and multifunctional characters. However, the quantitative analysis accounting for high order deformations upon the collapse of lattice materials, which is important for their applications, has not been reported. An analytical investigation of yield surfaces with respect to the high order deformations was carried out for two typical planar lattice materials： triangular and Kagome lattices separately. The analytical results were validated by the finite element method （FEM） simulations. It was found that the effect of high order deformation on the yield strength increases with the relative density. The bending effect of the Kagome lattice is more obvious than that of the triangular one with the same relative density and stress state. The yield strength of the Kagome lattice calculated by neglecting the bending effect overestimates the result by more than 10% when the relative density is higher than about 11.1%, which may not be ignored in engineering applications. The yielding surfaces of the two lattice materials demonstrated in the paper also confirm the analytical results.

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