多边形比例边界有限单元非线性化方法及应用

发布时间：2018-03-09 21:47

  本文选题：多边形单元　切入点：弹塑性　出处：《浙江大学学报(工学版)》2017年10期 　论文类型：期刊论文

【摘要】：针对当前比例边界有限元法(SBFEM)仅适用于弹性求解,无法推广至非线性应用的问题;根据三角形单元积分法则,提出在每个线单元径向覆盖的三角形引入域内高斯积分点,通过半解析的弹性解来构造用于非线性分析的单元形函数,实现了非线性多边形比例边界有限单元(NPSBFE).采用NPSBFE对经典算例Koyna大坝进行塑性损伤动力响应分析,与振动台实验及XFEM模拟结果进行比较,结果基本一致,验证了实现的NPSBFE用于非线性动力分析的可靠性.采用NPSBFE模拟考虑挤压边墙的面板堆石坝弹塑性地震动响应.用较少的网格模拟结果与有限元较密网格所得的结果吻合良好.多边形比例边界有限元可以非常灵活地处理复杂的材料分区及跨尺度区域的网格衔接问题,能够大幅减少建模难度和单元数量,提高模拟效率.
[Abstract]:In view of the problem that the current proportional boundary finite element method (SBFEMM) is only suitable for elastic solution and can not be extended to nonlinear application, according to the integral rule of triangular element, the Gao Si integral point in the domain of introducing Gao Si into the triangle with radial coverage of each line element is proposed. The element shape function for nonlinear analysis is constructed by semi-analytical elastic solution, and the nonlinear polygonal proportional boundary finite element (NPSBFEE) is realized. The plastic damage dynamic response of a classical Koyna dam is analyzed by NPSBFE. Compared with the shaking table experiment and XFEM simulation results, the results are basically consistent. The reliability of NPSBFE for nonlinear dynamic analysis is verified. The elastoplastic ground motion response of face rockfill dam with extruded side wall is simulated by NPSBFE. The finite element method of polygonal proportional boundary can deal with the problem of complex material partitioning and meshing in cross-scale region flexibly. It can greatly reduce the difficulty of modeling and the number of units, and improve the efficiency of simulation.
【作者单位】： 大连理工大学水利工程学院;大连理工大学海岸和近海工程国家重点实验室;
【基金】：国家重点研发计划资助项目(2017YFC0404900) 国家自然科学基金资助项目(51678113;51379028) 中央高校基本科研业务费资助项目(DUT17ZD219)
【分类号】：TV32;TV641.43
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本文编号：1590360