加筋材料动态松弛有限元模型的建立及应用

›› 2013, Vol. 34 ›› Issue (11): 3277-3283.

加筋材料动态松弛有限元模型的建立及应用

彭芳乐^{1, 2}，华针^{1, 2}，曹延波^{1, 2}

1. 同济大学地下建筑与工程系，上海 200092；2. 同济大学岩土及地下工程教育部重点实验室，上海 200092

收稿日期:2013-05-29 出版日期:2013-11-09 发布日期:2013-11-11
作者简介:彭芳乐，男，1965年生，博士，教授，博士生导师，主要研究方向为岩土力学、地下空间与工程等
基金资助:
国家自然科学基金(No. 51279132)；教育部长江学者和创新团队发展计划(No. IRT1029)

Finite element modeling of reinforced material based on dynamic relaxation method and its application

PENG Fang-le^{1, 2}，HUA Zhen^{1, 2}，CAO Yan-bo^{1, 2}

1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

Received:2013-05-29 Online:2013-11-09 Published:2013-11-11

摘要/Abstract

摘要： 为分析加筋材料的抗弯刚度对加筋性能的影响，加筋材料采用梁单元形式。基于动态松弛法，通过定义梁单元的刚度矩阵，求解内力矢量，随后定义虚拟质量密度而建立总质量矩阵，将加筋材料的梁单元有限元模型嵌入到已有的动态松弛法求解程序中。通过对简支梁的简单加载模拟验证了该梁单元模型的准确性能。随后，将该有限元模型与已有的动态松弛法计算程序结合（含砂土本构及弱面单元模型），对加筋砂土地基室内模型试验进行了数值模拟。将梁单元的模拟结果与杆单元（梁单元的特例）模拟结果进行了比较，并分别探讨了抗拉刚度和抗弯刚度对加筋砂土地基承载性能的影响。结果表明：抗拉刚度对承载能力的影响较小；抗弯刚度对承载力的影响程度与加筋材料的布置形式有关，特别是当加筋砂土中出现剪切带以后，其影响逐渐增大。因此，在分析加筋砂土结构的增强机制时，建议采用梁单元（具有一定的抗弯刚度）对加筋材料进行模拟。

关键词: 加筋土, 加筋材料, 动态松弛法, 有限元法, 梁单元, 刚度效应

Abstract: To analyze the influence of bending stiffness of reinforcement on the bearing capacity of reinforced soil structures, the beam element form is applied to modeling for reinforcement. Based on the dynamic relaxation (DR) method, the finite element model of beam element simulating reinforcement is presented. Firstly, the beam element stiffness matrix is constructed and the solution to internal force vector is obtained. Then, the fictitious mass density is defined just for numerical purposes and a mass matrix is established. The beam model is embedded in the existing dynamic relaxation calculation program. To validate the performance and accuracy of the beam element model , the loading simulation of simple beam is conducted. Subsequently model, the numerical study for the reinforced sandy ground physical model test is carried out by combining the beam element model and the DR calculation program (including the sand constitutive and the interface models). The comparison of simulation results between the beam element model and bar element model are conducted. The influences of tensile stiffness and bending stiffness on the bearing capacities of reinforced sand foundation are discussed respectively. The simulation results show that the tensile stiffness has little effect on the bearing capacity of the reinforced sand foundation. The influence of bending stiffness on bearing capacity is related to the reinforcement layout; especially when the shear band occurs in the reinforced sand structures, the impact will increase. Thus, to analyze the reinforced mechanism of reinforced sand structures, the beam element is recommended (with bending stiffness) in the simulation procedure.

Key words: reinforced sand, reinforced material, dynamic relaxation method, finite element method(FEM), beam element, stiffness effect

中图分类号:

O 319.56

彭芳乐，华针，曹延波 , . 加筋材料动态松弛有限元模型的建立及应用[J]. , 2013, 34(11): 3277-3283.

PENG Fang-le ，HUA Zhen ，CAO Yan-bo . Finite element modeling of reinforced material based on dynamic relaxation method and its application[J]. , 2013, 34(11): 3277-3283.

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