静态手征Milton-Briane-Willis连续介质力学
On static chiral Milton-Briane-Willis continuum mechanics
摘要：
在微极Eringen连续介质力学的背景下，这是一个推广的柯西弹性的手征三维机械超材料的扭曲效应的最新静态实验进行了讨论。对于立方对称性，艾琳根弹性包括九个额外的参数相对于柯西弹性，其中三个直接影响手征效应。在这里，我们讨论的行为的静态情况下的另一种推广的柯西弹性，米尔顿-Briane-威利斯方程。我们表明，在均匀静态立方的情况下，只有一个额外的参数，柯西弹性的结果，直接影响手征效应。我们表明，Milton-Briane-Willis方程定性描述实验观察到的手征扭曲效应，太。我们把这种行为与一个特征长度尺度联系起来。
英文摘要：
Recent static experiments on twist effects in chiral three-dimensional mechanical metamaterials have been discussed in the context of micropolar Eringen continuum mechanics, which is a generalization of Cauchy elasticity. For cubic symmetry, Eringen elasticity comprises nine additional parameters with respect to Cauchy elasticity, of which three directly influence chiral effects. Here, we discuss the behavior of the static case of an alternative generalization of Cauchy elasticity, the Milton-Briane-Willis equations. We show that in the homogeneous static cubic case only one additional parameter with respect to Cauchy elasticity results, which directly influences chiral effects. We show that the Milton-Briane-Willis equations qualitatively describe the experimentally observed chiral twist effects, too. We connect the behavior to a characteristic length scale.
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