Bio-inspired network materials composed of regularly aligned repeating filamentary microstructures exhibit promising application prospects in tissue engineering and bio-integrated devices due to the typical J-shaped mechanics curve precisely matched to the biological tissues. During the tensile process, an evident nonlinear mechanical anisotropy is induced by the drastic changes of microstructure geometries, which is of great concern in some particular requirements such as identifying the direction with the lowest or highest tensile stiffness and inducing alternate positive and negative or nearly zero Poisson's ratio. An efficient theoretical model for nonlinear anisotropic mechanics is developed in this paper by introduction of equilibrium and deformation compatibility conditions of presentative unit cell under finite uniaxial stretching along arbitrary directions, which is then verified by finite element analyses (FEA) and experiments both graphically and quantitatively. Through this model, the anisotropic mechanical responses of the periodic network materials are studied thoroughly and systematically based on the precise prediction of stress-strain relation, transverse-longitudinal strain relation and the deformed configuration. The effects of both the geometric parameters and the unit cell topology on the anisotropic mechanical responses are analyzed thereafter, which implies that the proposed model can play an instructive role in the design, optimization, and application of the periodic network materials.

由规则排列的重复丝状微结构组成的具有生物启发性的网络材料，由于与生物组织精确匹配的典型J形力学曲线，在组织工程和生物集成设备中显示出广阔的应用前景。在拉伸过程中，微观结构几何形状的急剧变化会引起明显的非线性机械各向异性，这在某些特定要求中引起了极大关注，例如，确定最低或最高拉伸刚度的方向并感应出正负交替或接近零。泊松比。通过引入沿任意方向的有限单轴拉伸下典型晶胞的平衡和变形相容条件，建立了一种有效的非线性各向异性力学理论模型，然后通过有限元分析（FEA）进行了验证，并进行了图形和定量实验。通过该模型，在精确预测应力-应变关系，横向-纵向应变关系和变形构型的基础上，全面而系统地研究了周期性网络材料的各向异性力学响应。此后，分析了几何参数和晶胞拓扑结构对各向异性力学响应的影响，这表明所提出的模型可以在设计，优化，