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Theoretical Analysis of Effects of Confining Pressure on the Stress Intensity Factors for Cracked Brazilian Disk

机译：约束压力对巴西裂纹盘应力强度因子影响的理论分析

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In order to investigate effects of confining pressure on the stress intensity factors for a cracked Brazilian disk,the closed-form expressions of the stress intensity factors were obtained by using the weight function method in fracture mechanics for the cracked Brazilian disk loaded by the confining pressure,and then the explicit expressions of the stress intensity factors were achieved under both the confining pressure and diametrical forces loading condition.Based on the formulas of the stress intensity factors,effects of confining pressure on stress intensity factors of the cracked Brazilian disk was analyzed.The analyzed results show that the confining pressure has no effects on the mode Ⅱ stress intensity factor,however,mode Ⅰ stress intensity factors decrease with the increasing confining pressure.In addition,effects of confining pressure on the loading condition of pure mode II crack were also investigated.The analyzed results show that the critical loading angle for pure mode II crack decreases gradually to 0 degree with the increasing confining pressure.
机译：为了研究封闭压力对破裂巴西圆盘应力强度因子的影响，采用加权函数方法，对受压巴西圆盘破裂的巴西圆盘，采用应力函数求得应力强度因子的闭式。然后，在密闭压力和径向力加载条件下，得到了应力强度因子的明确表达式。根据应力强度因子的公式，分析了密闭压力对破裂巴西圆盘应力强度因子的影响。分析结果表明，围压对Ⅱ型应力强度因子没有影响，但随着围压的增大，Ⅰ型应力强度因子减小。此外，围压对纯Ⅱ型裂纹加载条件的影响如下：分析结果表明，纯模式的临界加载角随着围压的增大，II裂纹逐渐减小至0度。

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