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工程力学  2014 

基于拓展虚内键本构模型的多裂纹混凝土结构破坏分析

DOI: 10.6052/j.issn.1000-4750.2012.10.0797, PP. 54-60

Keywords: 混凝土,裂纹扩展,虚内键,本构模型,数值模拟

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Abstract:

拓展虚内键(Augmentedvirtualinternalbond,AVIB)是基于虚内键理论的一种多尺度本构模型,它同时考虑了微观虚内键的法向和切向变形,应用Xu-Needleman势函数描述虚内键,并在微观势函数基础上直接导出了宏观本构方程。由于脆性材料的抗压强度与微元体的应力状态有关,为了反映这种微元应力效应,依据混凝土三轴抗压强度准则定义了应力效应系数,并将其反映到AVIB本构模型中。对于已有裂纹,采用无厚度单元劈裂法进行建模,避免了网格重划分问题和单独设置接触单元问题。结合AVIB模型与无厚度单元劈裂法,对多裂纹混凝土结构的破坏进行了模拟分析。结果表明,预制裂纹的长度不同,导致结构的主裂纹扩展方式不同。模拟所得的结构破坏模式及荷载-主裂纹口张开位移曲线与相关文献报道结果基本一致,表明了该方法的有效性。由于该文所采用的AVIB本构方程中已蕴涵了混凝土断裂能及三轴强度准则,因而在整个断裂模拟过程中,既避免了外部的断裂准则问题,同时又不需要网格重构及附加自由度,提高了计算效率,为大体积混凝土结构的破坏分析提供了一种简单的可行方法。

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