The asymptotic fields at the tip of a crack in a fiber-reinforced neo-Hookean sheet are derived. The investigation is carried out for the case of a strain energy function for a fiber-reinforced hyperelastic material motivated by composite mechanics (Guo et al., 2006, 2007ab), where the fibers are also neo-Hookean. The resulting asymptotic deformation and stress fields depend qualitatively and quantitatively on the degree of fiber reinforcement. For suitable choice of parameters, the strain energy potential for the material reduces to that of a pure neo-Hookean material and the corresponding asymptotic fields to those obtained by Knowles and Sternberg (1983). The result obtained may prove useful in providing a framework for future exploration in modeling and assessing the mechanical behavior near a slit or tear in soft biological tissue reinforced by collagen fibers and in other applications of fiber-reinforced soft materials.

得出了纤维增强的新霍克纤维板的裂纹尖端处的渐近场。对于由复合力学驱动的纤维增强超弹性材料的应变能函数的情况进行了研究（Guo等，2006，2007ab），其中纤维也是新霍克纤维。所产生的渐近形变和应力场定性和定量地取决于纤维增强的程度。为了适当地选择参数，材料的应变能势减小到纯新霍克材料的应变能势，相应的渐近场减小到Knowles和Sternberg（1983）获得的那些。