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Cohesive Crack Analysis of Toughness Increase Due to Confining Pressure

机译：围压导致韧性增加的内聚裂纹分析

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摘要

Apparent fracture toughness in Mode I of microcracking materials such as rocks under confining pressure is analyzed based on a cohesive crack model. In rocks, the apparent fracture toughness for crack propagation varies with the confining pressure. This study provides analytical solutions for the apparent fracture toughness using a cohesive crack model, which is a model for the fracture process zone. The problem analyzed in this study is a fluid-driven fracture of a two-dimensional crack with a cohesive zone under confining pressure. The size of the cohesive zone is assumed to be negligibly small in comparison to the crack length. The analyses are performed for two types of cohesive stress distribution, namely the constant cohesive stress (Dugdale model) and the linearly decreasing cohesive stress. Furthermore, the problem for a more general cohesive stress distribution is analyzed based on the fracture energy concept. The analytical solutions are confirmed by comparing them with the results of numerical computations performed using the body force method. The analytical solution suggests a substantial increase in the apparent fracture toughness due to increased confining pressures, even if the size of the fracture process zone is small.
机译：基于内聚裂纹模型，分析了微裂纹材料（如岩石）在有限压力下模式I的表观断裂韧性。在岩石中，裂纹扩展的表观断裂韧性随围压而变化。这项研究使用内聚裂纹模型为断裂过程区域的模型提供了表观断裂韧性的解析解。在这项研究中分析的问题是在密闭压力下流体驱动的二维裂纹的破裂，带有一个粘结区域。假定与裂纹长度相比，粘合区的尺寸可以忽略不计。针对两种类型的内聚应力分布进行分析，即恒定内聚应力（Dugdale模型）和线性减小的内聚应力。此外，基于断裂能概念分析了更普遍的内聚应力分布问题。通过将解析解与使用体力法进行的数值计算结果进行比较，可以确认解析解。分析解决方案表明，即使压裂加工区很小，由于增加的围压，表观断裂韧性也会大大提高。

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