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Elastic-plastic boundary element analysis of interface edge in bonded dissimilar materials

机译:粘结异常材料界面边缘的弹性塑性边界元分析

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Elastoplastic boundary element analysis is carried out to investigate the effect of linear hardening coefficient on the stress singularity and stress field near an interface edge in bonded dissimilar materials. The results show that the elastoplastic stress distribution near an interface edge can be divided into 3 regions, i.e., elastoplastic singular stress dominated zone, transition zone and elastic zone, sizes and properties of which depend on the size of yielding zone and the hardening coefficient. If the linear hardening coefficient is relatively large, the elastoplastic stress distribution agrees with the quasi-elastic theoretical result. It is also found that the transition zone increases and the elastoplastic singular stress dominated zone decreases with decreasing the hardening coefficient. If the linear hardening coefficient is small enough, the transition zone may become the main part of the yield zone, and the theoretical results may be correct only in a very small region near the edge, hence it would lose physical meanings for the evaluation of elastoplastic fracture. On the other hand, for small scale yield problems, the numerical results show that the behavior of stress distribution in the elastic zone is almost similar to the elastic theoretical results (i.e. the stress singularity order is almost the same), but the stress intensity coefficient becomes somewhat larger.
机译:进行弹塑性边界元分析,以研究线性硬化系数对粘结异种材料界面边缘附近应力奇异性和应力场的影响。结果表明,界面边缘附近的弹性塑性应力分布可以分为3个区域,即弹塑性奇异应力占主导地带,过渡区和弹性区,尺寸和性质取决于屈服区和硬化系数的尺寸。如果线性硬化系数相对较大,则弹性塑性应力分布与准弹性理论结果一致。还发现过渡区的增加,并且弹性型奇异应力主导区随着硬化系数的降低而降低。如果线性化硬化系数足够小,则过渡区可以成为屈服区的主要部分,并且理论结果可以仅在边缘附近的非常小的区域中正确,因此它将失去弹性塑料评估的物理含义断裂。另一方面,对于小规模产量问题,数值结果表明,弹性区中应力分布的行为几乎类似于弹性理论结果(即应力奇点序列几乎相同),但应力强度系数变得有些更大。

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