We study the nucleation and development of crack patterns in thin composite fibers under tension in this work. A fiber comprises an elastic core and an outer layer of a weaker brittle material. In recent tensile experiments on such composites, multiple cracks were observed to develop simultaneously on the outer layer. We propose here a simple one-dimensional model to predict such phenomena using the inverse-deformation approach to fracture. We idealize the problem as two axially loaded rods coupled by a linear interfacial condition. The latter can be regarded as an adhesive that resists slip between the two materials. One rod is modeled as a brittle material, and the other a linearly elastic material, both undergoing finite deformations.

在这项工作中，我们研究了在张力下薄复合纤维中裂纹模式的成核和发展。纤维包括弹性芯和较弱脆性材料的外层。在最近对此类复合材料进行的拉伸实验中，观察到多个裂纹在外层同时发展。我们在这里提出了一个简单的一维模型来预测这种现象，使用断裂的逆变形方法。我们将问题理想化为通过线性界面条件耦合的两个轴向加载杆。后者可以看作是一种粘合剂，可以防止两种材料之间的滑动。一根杆被建模为脆性材料，另一根杆被建模为线弹性材料，两者都经历有限变形。