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| 1 | 基于Newmark隐式时间积分方案的裂纹动态扩展的数值计算方法显示文摘扩展有限单元法(XFEM)是基于单位分解的思想,在常规有限元的位移模式中加入能够反映裂纹面不连续性的跳跃函数和裂纹尖端的渐近位移场函数,避免了常规有限单元法计算断裂问题时需要对裂纹尖端重新划分网格的不便以及繁重的计算量,并且裂纹的扩展独立于网格.标准有限元在处理时间积分时,在裂纹不断扩展的过程中整体刚度矩阵的自由度也会不断地增大,从而导致迭代计算无法进行.本文基于扩展有限单元法模拟动态裂纹扩展的方法,提出了新的Newmark隐式时间积分方案.此方法将所有节点都富集Heaviside函数和裂纹尖端的渐近位移场函数,即每个节点都有12个自由度,从而使得总体刚度矩阵式保持一致,避免迭代计算无法进行.同时,提出了一种稀疏矩阵技术来解决矩阵所占内存大和计算时间长的问题. | 郭德平 李铮 彭森林 曾志凯 吴岱峰 | 2021 | 上海交通大学学报2021，55，6： | 1 |
| 2 | Effect of a less permeable stronger soil layer on the stability of non-homogeneous unsaturated slopes显示文摘Slope failure occurs due to an increase in the saturation level and a subsequent decrease in matric suction in unsaturated soil.This paper presents the results of a series of centrifuge experiments and numerical analyses on a 55°inclined unsaturated sandy slope with less permeable,stronger silty sand layer inclusion within it.It is observed that a less permeable,stronger silty sand layer in an otherwise homogeneous sandy soil slope hinders the infiltration of water.The water content of the slope just above the stronger layer increases significantly,compared to elsewhere.No shear band is found to initiate in a homogeneous sandy soil slope,whereas for a non-homogeneous slope,they initiate just above the less pervious,stronger layer.A discontinuity of the shear zone is also observed for the case of a non-homogeneous soil slope.The factor of safety of a non-homogeneous,unsaturated soil slope decreases because of the less permeable,stronger layer.It decreases significantly if this less permeable,stronger soil layer is located near the toe of the slope. | Nabarun DEY Aniruddha SENGUPTA | 2020 | Frontiers of Structural and Civil Engineering2020，14，6： | 0 |
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