A Crack Emanating from the Tip of Bonded Dissimilar Materials
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摘要: 本文分析两种材料角区尖端产生的裂纹现象。设裂纹位于两种材料角区的分角线上,利用问题的几何和材料对称性,可将原问题分解为对称和反对称两种状态。通过特征展开法,分别导出两种状态下裂纹的特征方程,进而计算出不同材料比值和角区张角下的特征值序列,其中最小正特征值可用来反映裂纹的奇异性程度,最后推导出裂纹尖端附近位移应力表达式。Abstract: A crack is assumed to emanate from the tip of bonded dissimilar materials with the crack on the bisector of one of the bonded wedges.The problem is firstly divided into symmetric and anti-symmetric modes according to the characteristics of the local geometry.By eigenexpansion method,the eigenequations for the two modes are derived,respectively,and the corresponding eigenvalues are obtained with different ratios of dissimilar material constants and angles of the wedges.The singularity of the crack is then analyzed by the eigenvalues that are less then one.The fields of displacement and stress in the vicinity of the tip of the crack are finally derived in an explicit form.
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Key words:
- Dissimilar material /
- singularity /
- fields of displacement and stress
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