论文标题
通过解耦微极弹性张量和对称操作发现的2D晶格的机械耦合效应
Mechanical coupling effects of 2D lattices uncovered by decoupled micropolar elasticity tensor and symmetry operation
论文作者
论文摘要
机械耦合（例如轴向剪切和轴向弯曲）在主动机械超材料的设计中具有巨大的潜力，并在传感器和执行器中对输入和输出载荷的方向控制。但是，没有理论支持弹性的机械耦合的当前机械耦合设计无法为与晶格几何形状的机械耦合提供设计指南。此外，机械耦合效应与几何对称性之间的相关性尚未清楚地理解。在这项工作中，我们通过确定分解的微极弹性张量中的非零角性项来系统地搜索2D晶格结构中的所有可能的机械耦合。我们还通过将对称操作应用于分解的微极弹性张量，将机械耦合与2D晶格的点组对称性相关联。解耦的微极构成方程发现了2D晶格结构的八个耦合效应。解耦的微极弹性张量的对称操作揭示了机械耦合与点基团的相关性。我们的发现可以在包括传感器，执行器，软机器人和主动的超材料（用于弹性/声波引导和热管理）的区域中加强机械超材料的设计。
Mechanical couplings such as axial-shear and axial-bending have great potential in the design of active mechanical metamaterials with directional control of input and output loads in sensors and actuators. However, the current ad hoc design of mechanical coupling without theoretical support of elasticity cannot provide design guidelines for mechanical coupling with lattice geometries. Moreover, the correlation between mechanical coupling effects and geometric symmetry is not yet clearly understood. In this work, we systematically search for all possible mechanical couplings in 2D lattice structures by determining the non-zero diagonal terms in the decomposed micropolar elasticity tensor. We also correlate the mechanical couplings with the point-group symmetry of 2D lattices by applying the symmetry operation to the decomposed micropolar elasticity tensor. The decoupled micropolar constitutive equation uncovers eight coupling effects for 2D lattice structures. The symmetry operation of the decoupled micropolar elasticity tensor reveals the correlation of the mechanical coupling with the point groups. Our findings can strengthen the design of mechanical metamaterials with potential applications in areas including sensors, actuators, soft robots, and active metamaterials for elastic/acoustic wave guidance and thermal management.
