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分析表面裂纹的一种新方法

DOI: 10.3969/j.issn.1000-5013.2005.02.014, PP. 164-167

Keywords: 表面裂纹,边界积分方法,应力强度因子,张开位移

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Abstract:

用边界积分方法,分析表面裂纹的张开位移和应力强度因子.此方法将埋在无穷大弹性介质中裂纹,模拟为连续分布的位错环.根据两个位错环之间的相互作用能,可以得到弹性体的应变能;对弹性体的势能取极值,可以得到关于裂纹张开位移的边界积分方程.通过把半空间的边界模拟成一个包含在无穷大弹性介质中大裂纹,此法能很好的处理具有任意表面形状的表面裂纹.两个实验算例的计算结果与已有的解析解吻合很好,说明此方法的有效性和精确性.文中还分析具有表面台阶的表面裂纹的应力强度因子,结果有利于分析表面裂纹的扩展.

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