基于扩展有限元的钢筋混凝土梁剪压破坏分析

The shear compression failure simulation of reinforced concrete beams based on the Extended Finite Element

扩展有限元法(e Xtended Finite Element Method,简写为XFEM)是近年来发展起来的分析不连续问题(特别是裂缝问题)的一种有效方法,在传统模拟裂缝的方法当中应用比较广泛的是一种叫做黏聚力模型,但是这种模型不可避免的存在开裂位置必须处于两个单元之间的缺陷。本文介绍了扩展有限元法的基本原理,并将其应用到黏聚力模型当中,解决了开裂位置必须处于单元之间的弊病。最后针对剪切破坏中的斜裂缝求解困难问题,给出了一种钢筋混凝土梁受力剪切破坏的模拟方法,能够对工程当中常见的剪切破坏形式进行分析,并得到了与试验较为吻合的结果,为扩展有限元理论进一步应用到工程实践中提供了参考。

Extended Finite Element Method(e Xtended Finite Element Method,XFEM for short) is an ef-fective approach for discontinuity problems developed in recent years(especially when dealing with cracks).What is widely used in the conventional approach is called the cohesive crack model, which defines acracking surface between two element boundaries. This article describes the basic principle theory of the Ex-tended Finite Element Method and its application to the cohesive crack model. This approach solves theproblem that a cracking surface must be between the two element boundaries. Finally for the diagonal crackproblem in the shear failure which is difficult to solve,we introduce the shear failure simulation of rein-forced concrete beams,which could guide engineering applications about the shear failure of reinforced con-crete beams. And we get a good agreement with the experimental results,providing reference to further ap-plying of the Extended Finite Element Method to engineering practice.