半柔性网络剪切模量的计算

采用ANSYS软件计算了二维半柔性网络的剪切变形，得到了纤维绕交点可自由旋转和不可自由旋转的剪切模量G_fix和G_free，分析了纤维交点数、长度、纤维力学参数对半柔性网络剪切模量的影响，对比发现G_fix/G_free存在极小值，G_fix/G_free≈1.05. 关键词： 半柔性网络 复杂网络动力学 软凝聚态物质 多尺度

Shear modulus of semi-flexible networks in two dimensions

Organized semiflexible networks composed of a large number of cross-linked quasi-linear filaments, such as actin filament semiflexible networks which determines cell stiffness and transmits force during cellular shape changes. The mechanical property of semiflexible networks plays an essential role in numerous physiological processes, and is a major research topic in the domain of complex network dynamics as well. In this work, by using the ANSYS code, we studied the shear modulus of semiflexible networks with both fixed crosslinks and free crosslinks. The scale factor L/λ, where L is the length of filament and λ the non-affine length, is appropriate for characterizing the shear modulus. The ratio of the two cases was calculated and we found a minimal value at L/λ≈1.05.