Department of Physics and Astronomy, Vrije Universiteit, Amsterdam, The Netherlands.
Phys Rev Lett. 2012 Feb 17;108(7):078102. doi: 10.1103/PhysRevLett.108.078102. Epub 2012 Feb 13.
We present a model for disordered 3D fiber networks to study their linear and nonlinear elasticity. In contrast to previous 2D models, these 3D networks with binary crosslinks are underconstrained with respect to fiber stretching elasticity, suggesting that bending may dominate their response. We find that such networks exhibit a bending-dominated elastic regime controlled by fiber length, as well as a crossover to a stretch-dominated regime for long fibers. Finally, by extending the model to the nonlinear regime, we show that these networks become intrinsically nonlinear with a vanishing linear response regime in the limit of flexible or long filaments.
我们提出了一个用于无序 3D 纤维网络的模型，以研究它们的线性和非线性弹性。与之前的 2D 模型相比，这些具有二进制交联的 3D 网络在纤维拉伸弹性方面受到约束，这表明弯曲可能主导它们的响应。我们发现，这种网络表现出由纤维长度控制的弯曲主导弹性状态，以及对于长纤维的拉伸主导状态的转变。最后，通过将模型扩展到非线性状态，我们表明这些网络在柔性或长丝的极限下具有内在的非线性，线性响应状态消失。
