A gradient smoothing meshfree method for damage analysis based on stabilized conforming nodal integration and three dimensional simulation of large deformation slope failure
边坡失稳作为一种最为常见的自然灾害形式，其发生与发展涉及到材料的弹塑性损伤、应变软化与大变形运动，是一个十分复杂的破坏过程，因而通常不能进行解析分析，需要采用数值方法进行模拟，例如常用的有限元法。然而受到网格拓扑连接及局部近似特性的影响，在模拟大变形与应变软化问题时常出现网格畸变问题及网格敏感性问题，有限元法不能很好地模拟材料的损伤破坏过程。本文首先分析了应变软化引起的传统有限元计算中网格敏感性问题，研究了基于光滑节点梯度的稳定节点积分无网格法的离散敏感性现象，并在此基础上构造了非局部二次应变光滑正则化稳定节点积分伽辽金无网格法。典型数值算例表明，正则化稳定节点积分伽辽金无网格法能很好地解决材...As one of the most common natural disasters, the initiation and evolution of slope failure often involves coupled large deformation elasto-plastic damage behavior and strain softening response which collectively lead to a very complex failure process. Consequently it is difficult to analytically study the slope failure problem and the simulation using numerical methods, for example, the finite ele...学位：工学硕士院系专业：建筑与土木工程学院土木工程系_力学学号：2532008115179
