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Closed-form solution for a mode-III interfacial edge crack between two bonded dissimilar elastic strips

机译:用于两个粘合的不同弹性条带之间的模式-III界面边缘裂缝的闭合形式解决方案

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摘要

A closed-form solution is obtained for the problem of a mode-III interfacial edge crack between two bonded semi-infinite dissimilar elastic strips. A general out-of-plane displacement potential for the crack interacting with a screw dislocation or a line force is constructed using conformal mapping technique and existing dislocation solutions. Based on this displacement potential, the stress intensity factor (SIF, KIII) and the energy release rate (ERR, GIII) for the interfacial edge crack are obtained explicitly. It is shown that, in the limiting special cases, the obtained results coincide with the results available in the literature. The present solution can be used as the Green’s function to analyze interfacial edge cracks subjected to arbitrary anti-plane loadings. As an example, a formula is derived correcting the beam theory used in evaluation of SIF (KIII) and ERR (GIII) of bimaterials in the double cantilever beam (DCB) test configuration.
机译:针对两个粘结的半无限异种弹性条之间的III型界面边缘裂纹问题,获得了一种封闭形式的解决方案。使用共形映射技术和现有的位错解决方案,构造了与螺钉位错或线力相互作用的裂纹的一般平面外位移潜力。基于该位移电势,明确获得了界面边缘裂纹的应力强度因子(SIF,KIII)和能量释放速率(ERR,GIII)。结果表明,在有限的特殊情况下,获得的结果与文献中提供的结果一致。本解决方案可以用作格林函数来分析承受任意反平面载荷的界面边缘裂纹。例如,导出了一个公式,该公式校正了在双悬臂梁(DCB)测试配置中评估双材料的SIF(KIII)和ERR(GIII)时使用的梁理论。

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