摘要
基于钢筋混凝土转动裂缝模型,应用平面膜单元对钢筋混凝土构件进行全过程非线性剪切分析。通过选择材料单轴本构、总结复杂的平面应力状态、归纳三种主应变空间下的主应变状态及其刚度矩阵共轭项计算方法,改善平面膜单元在有限元分析中的数值稳定性。选取弯-剪作用下钢筋混凝土梁与压-弯-剪作用下剪力墙试验建立有限元模型进行对比验证,试验实测与有限元分析结果吻合良好。对比结果表明,全面细致地考虑可能出现的各种应力状态,依据三种主应变空间下的主应变状态及其刚度矩阵计算方法,可以得到较好的有限元分析的数值稳定性和精度,基于转动裂缝模型的平面膜单元为压-弯-剪作用下的钢筋混凝土构件的全过程非线性分析提供了有效的分析途径。
Based on the rotating crack model, the planar membrane element was applied to the full-process nonlinear shear analysis of reinforced concrete (RC) structures. First, the uniaxial stress-strain relationships of materials were selected. Second, various plane stress conditions were summarised and classified into three groups of principle strain states in the principle strain space. Third, the computational methods for the three different principle strain states to calculate Jacobian Matrix were given. Finally, a group of RC beams and a group of RC shear walls were selected and experimentally simulated for validation. Good agreement was found between the experimental and calculated results. Comparison results demonstrate that by considering various plane stress conditions with three principle strain states and their different calculation methods of the Jocobian Matrix, good numerical stability and computational accuracy can be gained. The planar membrane element may offer an effective and applicable method for the full-process nonlinear analysis of RC structures subjected to complex compression-flexure-shear actions.
出处
《建筑结构学报》
EI
CAS
CSCD
北大核心
2014年第3期33-38,共6页
Journal of Building Structures
基金
国家“十二五”科技支撑计划(2011BAJ09B01,2011BAJ09B02)
国家自然科学基金重点项目(51138007,51378291)