Abstract Elastic properties of two–dimensional cellular lattice materials are studied using a discrete model. The model is based on a representation of the lattice as a set of interacting nodes. A potential of interaction between the nodes is calibrated such that to simulate elastic linking. The analytical homogenization based on Cauchy–Born rule allowed determining the elastic properties of the effective continuum corresponding to the specific lattice. On the other hand, the same properties were found from the numerical simulations based on particle dynamics. It is shown that both ways lead to the same values of elastic constants. This approach allows using particle–based numerical simulations to design various applications of lattice materials.

中文翻译：

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蜂窝材料的弹性面内特性：离散方法

摘要 使用离散模型研究了二维蜂窝晶格材料的弹性特性。该模型基于将点阵表示为一组交互节点。节点之间的相互作用的潜力被校准以模拟弹性链接。基于柯西-伯恩规则的解析均匀化允许确定对应于特定晶格的有效连续体的弹性特性。另一方面，从基于粒子动力学的数值模拟中发现了相同的特性。结果表明，两种方式都会导致相同的弹性常数值。这种方法允许使用基于粒子的数值模拟来设计晶格材料的各种应用。