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工程力学  2013 

三点弯曲缺口梁T应力的确定

DOI: 10.6052/j.issn.1000-4750.2012.06.0446

Keywords: 断裂力学,裂纹尖端,三点弯曲梁,T应力,有限元分析

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Abstract:

T应力是存在于裂纹尖端平行于裂纹方向的应力,是裂纹尖端应力级数展开式中的常数项,它对裂缝尖端应力场的贡献不容忽视。三点弯曲梁是普通实验室中用来测定试件断裂性能的基本几何形式,为保证这些断裂参数确定的有效性,必须首先确定裂纹尖端T应力的大小,才能明确T应力对断裂参数的影响程度。该文通过有限元数值模拟得到跨高比为4的三点弯曲缺口梁和纯弯作用下单边裂纹尖端的T应力大小,与已有文献的比较验证了有限元计算的有效性。在此基础上根据圣维南原理,由跨高比为4和纯弯作用这两种情况下的T应力推导出一般跨高比情况下裂纹尖端的T应力表达式,并以跨高比为6、8和10三种情况为例,进行了计算并与该文的有限元计算结果进行比较,验证了该文提出的T应力计算公式的可靠性。

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