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科技导报  2014 

长方形岩石劈裂应力分析

DOI: 10.3981/j.issn.1000-7857.2014.07.005, PP. 39-43

Keywords: 长方形岩石,劈裂应力,傅里叶级数解析方法,三维有限元模型

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Abstract:

提出一种基于弹性力学平面问题傅里叶级数的长方形岩石劈裂应力解析方法。为了与该傅里叶级数解析方法比较,建立了相同劈裂载荷条件下长方形岩石三维有限元模型,分析了劈裂试件的应力分布,以及试件宽长比、垫条宽度对劈裂试件应力分布的影响。结果表明,两种方法的分析结果一致,劈裂试件的最大拉应力未出现在试件中心,而是出现在试件x=0对称轴上靠近边界的某一点;最大拉应力随着垫条宽度2c和试件宽长比b/a的增加而减小;正方形试件的最大拉应力大于圆柱形试件的最大拉应力。通过类岩石材料劈裂实验,证明了该傅里叶级数解析方法描述的长方形岩石劈裂应力分布规律与实验结果相符。

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