›› 2018, Vol. 39 ›› Issue (9): 3477-3485.doi: 10.16285/j.rsm.2016.2688

• 数值分析 • 上一篇    下一篇

饱和土动力方程全显式有限元法在 OpenSees中的实现与应用

宋 佳1,古 泉2,许成顺1,杜修力1   

  1. 1. 北京工业大学 城市与工程安全减灾教育部重点实验室,北京 100124;2. 厦门大学 建筑与土木工程学院,福建 厦门 361005
  • 收稿日期:2016-11-17 出版日期:2018-09-11 发布日期:2018-10-08
  • 通讯作者: 许成顺,女,1977年生,博士,教授,博士生导师,从事岩土力学基础理论与试验研究工作。E-mail: xuchengshun@bjut.edu.cn E-mail: sjandrew@163.com
  • 作者简介:宋佳,女,1986年生,博士研究生,主要从事土动力学理论与数值计算方法研究工作。
  • 基金资助:

    国家自然科学基金创新群体项目(No.51421005);国家自然科学基金面上项目(No.51578026)。

Implementation of fully explicit method for dynamic equation of saturated soil in OpenSees

SONG Jia1, GU Quan2, XU Cheng-shun1, DU Xiu-li1   

  1. 1. The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China; 2. School of Architecture and Civil Engineering, Xiamen University, Xiamen, Fujian 361005, China
  • Received:2016-11-17 Online:2018-09-11 Published:2018-10-08
  • Supported by:

    This work was supported by the Foundation for Innovative Research Groups of the General Program of National Natural Science Foundation of China(51421005) and the National Natural Science Foundation of China(51578026).

摘要: 饱和土的动力响应一直是土动力学重点关注的问题,尤其是在循环荷载作用下饱和砂土容易发生孔压升高、强度降低的液化现象。同时,采用有限元法求解尺寸较大的实际饱和土场地,巨大的自由度数往往造成整体系统的计算效率极低,制约着饱和土数值方法的发展。因此,基于已提出的u-p(u为固相土骨架位移,p为孔压)饱和两相多孔介质动力方程的全显式有限元法,将其嵌入OpenSees开放性平台中,并利用软件自带的饱和多孔介质单元和本构模型,实现了高效、显式计算饱和土的动力响应。通过计算二维弹性饱和土动力响应,与Newmark法的计算结果对比,两者结果吻合较好,验证了嵌入算法的正确性。将提出方法计算非线性自由场海床土的地震响应问题,有效模拟了海床土的液化过程和失效模式以及发生的侧向变形,同时说明了提出方法在计算效率方面具有的显著优势。

关键词: OpenSees, 饱和多孔介质, 全显式有限元法

Abstract: The dynamic responses of saturated soil are the always concerning problems of soil dynamics. The liquefaction caused by cyclic loadings often increases the pore pressure and decreases the strength of the soil. In addition, for the site with large size saturated soil, large numbers of degrees of freedom often lead to low calculation efficiency, and restrict the development of the numerical method of saturated soil. Therefore, the proposed fully explicit finite element method for the equations of saturated porous medium in u-p formulation is implemented into the OpenSees software. By using the element and constitutive models in OpenSees, the efficient and explicit computation of the dynamic responses of saturated soils can be realized in this paper. In a two-dimensional saturated model, the elastic dynamic responses obtained from the Newmark method are compared with the results obtained from the embedded method. Two results are in good agreement, which verify the embedded algorithm. The proposed algorithm is used to compute the nonlinear free field seismic responses of the seabed soil. This method simulates liquefaction process, failure modes and the lateral deformation of the seabed soil effectively. The proposed algorithm illustrates significant advantages in terms of computational efficiency.

Key words: OpenSees, saturated porous media, completed explicit finite element method

中图分类号: 

  • TU 435

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