摘要
US-FE-LSPIM四边形单元由传统的4节点等参元形函数集和FE-LSPIM四边形单元形函数集分别作为检验函数和试函数而构成。传统的4节点等参元形函数集用于满足单元间和单元内位移连续性要求,FE-LSPIM四边形单元形函数集用于满足位移完备性要求。该单元综合了无网格和有限元法的优点,具有计算精度高、对网格畸变不敏感的优点,满足数值收敛的一致性要求。将其扩展到边坡稳定分析中,推导了该单元的弹塑性离散格式。采用强度折减法,以改进的位移突变作为判据,通过算例验证了该单元程序的正确性,并用其分析三峡工程左岸大坝稳定性,得到合理的结果。
US-FE-LSPIM quadrilateral element is constructed by using shape function sets of classical 4-node isoparametric element and FE-LSPIM quadrilateral element as the test function and the trial function respectively.The shape function sets of classical 4-node isoparametric element are used for meeting the requirements of intra-element and inter-element continuity in displacement field,and the function sets of FE-LSPIM quadrilateral element are for the completeness in displacement field.The constructed element combines the advantages of the mesh-free method and finite element method to possess the properties of good precision and insensitivity to mesh distortion and satisfy the consistency requirement.This element is used in the slope stability analysis,and the discretized formulations of this element for elasto-plastic problems are deduced.Based on criterion of the modified displacement catastrophe,the program of the new element is checked by actual examples by utilizing strength reduction method.The presented element is used to analyze the sliding stability of the dam on left bank of the Three Gorges Project,and reasonable results are obtained.
出处
《人民长江》
北大核心
2012年第21期75-78,88,共5页
Yangtze River
基金
建设部资助项目(2010-K4-38)
盐城工学院人才项目(XKR2011016)
