互锁和可滑动杆的轴对称薄板力学
Mechanics of axisymmetric sheets of interlocking and slidable rods
摘要：
在这项工作中，我们研究了超材料片的机制的启发Euglenids的表膜。它们由互锁的弹性杆组成，弹性杆可以沿着它们的边缘自由滑动。我们使用特殊的Cosserat理论的杆，并通过假设轴对称变形的管状组件的运动学和这些结构的力学特征。通过渐近展开，我们调查这两种结构，包括一个离散的杆数和无限多杆组成的片的极限情况。我们应用我们的理论框架来研究这些结构在轴向载荷作用下的稳定性。通过线性分析，我们计算的临界屈曲力的离散和连续的情况。对于后者，我们还进行了数值后屈曲分析，研究通过有限元模拟的分叉的非线性演化。
英文摘要：
In this work, we study the mechanics of metamaterial sheets inspired by the pellicle of Euglenids. They are composed of interlocking elastic rods which can freely slide along their edges. We characterize the kinematics and the mechanics of these structures using the special Cosserat theory of rods and by assuming axisymmetric deformations of the tubular assembly. Through an asymptotic expansion, we investigate both structures that comprise a discrete number of rods and the limit case of a sheet composed by infinitely many rods. We apply our theoretical framework to investigate the stability of these structures in the presence of an axial load. Through a linear analysis, we compute the critical buckling force for both the discrete and the continuous case. For the latter, we also perform a numerical post-buckling analysis, studying the non-linear evolution of the bifurcation through finite elements simulations.
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