破碎率最小值预测超载材料的崩溃点
Breaking rate minimum predicts the collapse point of over-loaded materials
摘要：
作为复合材料的模型，我们选择了一束纤维，其单个纤维的断裂阈值具有随机分布。假定纤维平均分担载荷，并服从胡克弹性直到断裂点。我们研究了在超过临界载荷的恒定载荷下纤维断裂速率的演变。分析表明，当系统处于完全崩溃的中途时，系统的破碎率达到最小值。
英文摘要：
As a model of composite materials, we choose a bundle of fibers with stochastically distributed breaking thresholds for the individual fibers. the fibers are assumed to share the load equally and to obey Hookean elasticity right up to the breaking point. We study the evolution of the fiber breaking rate at a constant load in excess of the critical load. The analysis shows that the breaking rate reaches a minimum when the system is half-way from its complete collapse.
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