一种处理加筋体结构问题的有限元分析模型

›› 2008, Vol. 29 ›› Issue (7): 1923-1930.

一种处理加筋体结构问题的有限元分析模型

栾广博，李春光，王水林，郭明伟

中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，武汉 430071

收稿日期:2007-10-07 出版日期:2008-07-10 发布日期:2013-07-27
作者简介:栾广博，男，1974年生，博士，主要从事岩土力学数值方法及动力学理论与数值算法研究

An analytical finite element model for solving problem of reinforced solid structure

LUAN Guang-bo, LI Chun-guang, WANG Shui-lin, GUO Ming-wei

State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

Received:2007-10-07 Online:2008-07-10 Published:2013-07-27

摘要/Abstract

摘要： 在用有限元法分析混凝土中钢筋或峒室岩体中的锚杆变形问题时，经常会遇到线单元与体单元耦合变形的问题，现有的方法一般是将锚杆或钢筋简化成桁架或梁单元，作为嵌入单元将其贡献刚度叠加到体单元的刚度矩阵中。但无论哪种简化都没有反映复杂应力状态下加强构件变形处处不均匀的特性。在总结其他学者研究的基础上，将这类问题统称为加筋体问题，并提出一种新的的有限元分析模型。模型中利用连续介质力学基本理论将加强构件的轴向变形能、扭转变形能及弯曲变形能叠加到实体单元的势能泛函中，用最小势能原理导出了一种非线性的单元平衡方程。利用该模型编制了相应的程序，并与商用软件Abaqus的计算结果作了对比分析。

关键词: 加筋体单元, 锚杆, 钢筋混凝土, 最小势能原理, 分析模型

Abstract: When analyzing the deformation problem of rebars embedded in reinforced concrete and anchors embedded in the rockmass of chambers, the coupling deformation between a line element and a solid element has to be dealt with. The general approach is to simplify the anchors and rebars into embedded truss or beam elements, and the rigidity matrix of the embedded elements will be incorporated into one of the solid elements. The two methods cannot reflect the deformation nonuniformity of reinforcing parts under complex stress conditions. On the basis of other scholars’ researches, the reinforced solid element method is proposed to solve such problems, and its relevant analytical model is put forth. In this model, based on foundamental theories of continuum mechanics, a new nonlinear element equilibrium equation is deduced by using minimum potential energy principle, in which the axial deformation energy, torsional energy, bending deformation energy of the reinforcing parts are taken into account. Finally, a computational program based on the model is compiled; and its results are compared with the results from the commercial software Abaqus.

Key words: reinforced solid element, anchor, reinforced concrete, minimum potential energy principle, analytical model

中图分类号:

O 34

栾广博，李春光，王水林，郭明伟. 一种处理加筋体结构问题的有限元分析模型[J]. , 2008, 29(7): 1923-1930.

LUAN Guang-bo, LI Chun-guang, WANG Shui-lin, GUO Ming-wei. An analytical finite element model for solving problem of reinforced solid structure[J]. , 2008, 29(7): 1923-1930.

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