Coupled bend–twist mechanics of biomimetic scale substrate
Coupled bend–twist mechanics of biomimetic scale substrate
复制标题
仿生秤基材的弯曲-扭转耦合力学
DOI：
10.1016/j.jmps.2021.104711
复制
发表时间：
2022
影响因子：
5.3
通讯作者：
Ghosh, Ranajay
中科院分区：
文献类型：
--
作者：
Dharmavaram, Sanjay;Ebrahimi, Hossein;Ghosh, Ranajay
本文研究了一维丝状结构的弯曲和扭转变形的力学问题，丝状结构的表面有一个角度嵌有一个突出的鱼鳞状刚性板。我们开发了一个Cosserat运动学公式沿着与规模接触约束。这种几何精确的模型使我们能够绕过小挠度有限元计算的限制，从而保持规模运动学的准确性。推导出的结构-性能关系揭示，第一次，弯曲和扭曲的细长鱼鳞启发基板的综合效果。该模型包含了以前的纯弯曲和纯扭转模型，但也显示了以前未观察到的现象，由于这些负载的耦合效应。这些措施包括一个新的解释的运动学锁定行为，多个接触制度，一个曲率在其他的不对称的敏感性，和非线性的力矩曲率和扭矩扭转行为的不连续过渡，反映了复杂的规模接合模式。
We develop the mechanics of combined bending and twisting deformation of a one-dimensional filamentous structure with protruding stiff fish-scale-like plates embedded at an angle on the surface. We develop a Cosserat kinematic formulation along with scale contact constraints. This geometrically exact model allows us to bypass the limitations of small deflection finite element computations, thereby preserving the accuracy of scale kinematics. The derived structure–property relationships reveal, for the first time, the combined effect of bending and twisting on a slender fish-scale inspired substrate. The model subsumes previous models on pure bending and pure twisting, but also shows previously unobserved phenomena that arise due to the coupled effects of these loads. These include a new interpretation of kinematic locking behavior, multiple contact regimes, asymmetric sensitivities of one curvature over the other, and discontinuous transitions in the nonlinear moment–curvature and torque–twist behaviors, reflecting the complex scale engagement patterns.