【作者】 冯道雨；

【导师】 陈胜宏；

【作者基本信息】 武汉大学 ， 水工结构工程， 2004， 硕士

【摘要】 随着计算机技术和数值计算方法的不断发展，有限元技术的应用领域正在不断地扩大。自适应有限元方法是有限元方法发展的新阶段，具有简化前处理和客观误差控制等优点，使分析更加方便，结果具有客观性，因而得到日益广泛的应用。本文针对复杂的水工结构和岩土工程结构问题，完善了平面弹粘塑性自适应有限元分析系统，并研究了其在边坡稳定分析中的应用。 有限元网格划分是有限元分析，特别是自适应有限元分析的关键性环节。本文提出了一种改进的平面四边形网格自动生成技术，并在网格生成过程中针对复杂结构中经常出现的尖灭型节理、锚杆、锚索等提出了相应的处理方法。 然后，本文阐述了弹塑性有限元分析理论和网格误差估计理论，介绍了平面h型自适应有限元分析系统，并结合两个边坡工程实例，给出了整个分析过程，验证了分析系统的实用性和可操作性。 最后，本文还介绍了在自适应有限元应力应变分析结果的基础上，利用遗传算法实现边坡的最危险滑动面和最小安全系数的自动搜索技术。通过边坡算例验证表明，这种搜索方法是有效可行的。更多还原

【Abstract】 With the development of numerical method and electronic computer technology, the application domain of the finite element method is enlarged. The adaptive FEM is the new development stage of the FEM, which benefits to reduce pre-processing works and to control the generating mesh error objectively. Due to more convenience in the analysis and more objectivity of computation results, this method has brilliant prospects in practice. In this thesis, the h-version elasto-viscoplastic adaptive FEM analysis system for 2-D problems in hydraulic structure engineering is improved. The application of this adaptive FEM analysis system in landslide stability analysis is also focused.Mesh generation is the key part of the FEM analysis, especially the adaptive FEM analysis. In this thesis, a new method of automatic quadrilateral mesh generation. is proposed. The algorithm to treat discontinuities and bolts as well as anchors has been put forward for the geotechnical engineering structures, too.After the principle of 2-D FEM analysis and mesh error estimation is brought forward, the h-version adaptive FEM analysis system is established. The effectiveness and feasibility of this system is verified by two slope engineering examples.Based on the adaptive FEM stress and deformation analysis result, an automatic search method for the critical slip surface and the minimum safety coefficient is implemented by using of genetic algorithms. The landslide examples show the feasibility and availability of the proposed method更多还原