论文标题
由微极弹性和几何对称性发现的3D晶格材料的机械耦合
Mechanical couplings of 3D lattice materials discovered by micropolar elasticity and geometric symmetry
论文作者
论文摘要
与Poisson的效果相似，机械耦合是通过方向输入负载的定向间接响应。随着3D复杂几何形状的制造技术的进步，具有有限体积的单位单元而不是点的构造材料会产生更多的自由度和促进外来的机械耦合，例如轴向剪切，轴向旋转，轴向弯曲，轴向弯曲和轴向扭动。但是，大多数结构材料是通过机械耦合的临时设计而没有理论上支持弹性的，这并不能为机械耦合提供一般指南。此外，尚未对3D晶格的所有机械耦合进行对称操作的所有机械耦合。因此，我们构建了3D晶格的脱钩微极性弹性张量，以识别与点基团相关的单个机械耦合。分类的32点组的解耦微极弹性张量为3D晶格提供了15个机械耦合。我们的发现有助于为3D结构材料的机械耦合提供固体理论指南，并在各个领域进行应用，包括主动的超材料，传感器，执行器，弹性波导和声学。
Similar to Poisson's effect, mechanical coupling is a directional indirect response by a directional input loading. With the advance in manufacturing techniques of 3D complex geometry, architected materials with unit cells of finite volume rather than a point yield more degrees of freedom and foster exotic mechanical couplings such as axial-shear, axial-rotation, axial-bending, and axial-twisting. However, most structural materials have been built by the ad hoc design of mechanical couplings without theoretical support of elasticity, which does not provide general guidelines for mechanical couplings. Moreover, no comprehensive study of all the mechanical couplings of 3D lattices with symmetry operations has been undertaken. Therefore, we construct the decoupled micropolar elasticity tensor of 3D lattices to identify individual mechanical couplings correlated with the point groups. The decoupled micropolar elasticity tensors, classified with 32 point groups, provide 15 mechanical couplings for 3D lattices. Our findings help provide solid theoretical guidelines for the mechanical couplings of 3D structural materials with potential applications in various areas, including active metamaterials, sensors, actuators, elastic waveguides, and acoustics.
