Universal formulae for the limiting elastic energy of membrane networks
Universal formulae for the limiting elastic energy of membrane networks
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DOI：
10.1016/j.jmps.2011.09.003
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发表时间：
2011-02
影响因子：
5.3
通讯作者：
B. Schmidt;F. Fraternali
中科院分区：
文献类型：
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作者：
B. Schmidt;F. Fraternali
我们提供了具有最近邻键势和余弦型二面角势的三角膜网络的限制拉伸和弯曲能的通用公式。给定的公式考虑了有限弹性，并解决了 Helfrich 型弯曲能早期结果的一些缺陷，这是由于形状依赖性和对极限弹性系数的网格畸变效应的敏感性造成的。我们还提供了整套弹性系数来表征所检查网络的极限响应，并考虑了完全弯曲-拉伸耦合。我们通过示例说明了所提出的公式的有效性，检查了等边三角形覆盖的圆柱形和球形网络的特殊情况，并讨论了所选弹性模量的实验表征的可能策略。
We provide universal formulae for the limiting stretching and bending energies of triangulated membrane networks endowed with nearest neighbor bond potentials and cosine-type dihedral angle potentials. The given formulae account for finite elasticity and solve some deficiencies of earlier results for Helfrich-type bending energies, due to shape-dependence and sensitivity to mesh distortion effects of the limiting elastic coefficients. We also provide the entire set of the elastic coefficients characterizing the limiting response of the examined networks, accounting for full bending–stretching coupling. We illustrate the effectiveness of the proposed formulae by way of example, on examining the special cases of cylindrical and spherical networks covered with equilateral triangles, and discussing possible strategies for the experimental characterization of selected elastic moduli.