莫尔圆极点确定的新方法

发布时间：2018-04-19 19:48

本文选题：莫尔圆 + 极点　；参考：《岩土力学》2015年06期

【摘要】：莫尔圆在岩土材料的强度理论、应力路径以及地基承载力等方面具有广泛的应用。极点是莫尔应力圆上的一个特殊点,具有惟一性,通过极点,可以求得任意分析平面的应力状态。特别是对于求解复杂状态下的应力问题,莫尔圆极点法具有简便、快捷的优点。提出了定义极点的新方法——射线法,利用应力隔离体力的平衡法则证明了该方法定义极点的正确性及惟一性,并且发现定义极点的平行线法和法线法是射线法的两种特殊情况。通过比较,发现不同方法所得到的极点位置并不相同,但求得的任意面上的应力状态是相同的,而且平行线法更便于使用。然而,所提出的射线法能加深对莫尔圆极点的理解,从而进一步推动其广泛应用。
[Abstract]:Mohr circle is widely used in strength theory, stress path and foundation bearing capacity of geotechnical materials. The pole is a special point on the moire stress circle, which is unique. Through the pole, the stress state of any analytical plane can be obtained. Especially for solving the stress problem in complex state, the moire circle pole method has the advantages of simplicity and rapidity. In this paper, a new method of defining poles, the ray method, is proposed. The correctness and uniqueness of the method are proved by using the balance law of stress isolation force. It is also found that parallel line method and normal method are two special cases of ray method. By comparison, it is found that the positions of the poles obtained by different methods are different, but the stress states on any plane obtained are the same, and the parallel line method is more convenient to use. However, the proposed ray method can deepen the understanding of the moire circle poles and further promote its wide application.
【作者单位】：山东科技大学土木工程与建筑学院山东省土木工程防灾减灾重点实验室;河海大学岩土工程研究所;
【基金】：国家自然科学基金资助项目(No.51379118) 山东科技大学科研创新团队资助项目(No.2012kytd104)
【分类号】：TU43

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