层状岩质边坡临界高度极限分析上限解
Critical Height Analysis for Bedding Rock Slopes Using the Upper bound Method of Limit Analysis
作者：李新坡(中国科学院 成都山地灾害与环境研究所，四川 成都 610041)；何思明(中国科学院 成都山地灾害与环境研究所，四川 成都 610041)；徐骏(中国科学院 成都山地灾害与环境研究所，四川 成都 610041)
Author：(Inst. of Mountain Hazards and Environment, Chinese Academy of Sci., Chengdu 610041, China)；(Inst. of Mountain Hazards and Environment, Chinese Academy of Sci., Chengdu 610041, China)；(Inst. of Mountain Hazards and Environment, Chinese Academy of Sci., Chengdu 610041, China)
收稿日期：2005-12-06 年卷（期）页码：2007,39(1):44-47
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：层状岩质边坡;临界高度;极限分析;横观各向同性
Key words：bedding rock slopes;critical height;limit analysis;transverse isotropy
基金项目：国家自然科学基金资助项目（40572158）;组合抗滑结构作用机制研究项目（Y10059）
中文摘要
为了确定层状岩体边坡稳定的临界高度，把层状岩体视为横观各向同性材料，采用抗剪强度随所求方向与层面之间的夹角线性变化的关系，导出了利用极限分析上限定理计算层状岩体边坡临界高度的方法。应用本方法对文中边坡进行了计算分析，结果表明,对算例中的竖直边坡,岩层倾角在48°～70°时，边坡将发生顺层面的破坏，否则发生切割层面破坏；另外，三峡库区某边坡的计算结果与工程实际相符。该方法可以用于指导层状岩体边坡开挖。
英文摘要
The critical height of bedding rock slope is investigated using the kinematic approach of limit analysis. Firstly, linear equations are introduced to express the shear strength of layered rocks, which is treated as a transverse isotropy material. Then, one case of bedding rock slope is investigated and calculation procedure is developed. Finally, a practical slope was calculated using the method proposed. It is found that when the inclination angle of the layered rocks is between 48° and 70°, the slope will fail along the layer. It is concluded that the proposed method can be used as guidance for slope excavation.
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