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一维六方准晶中螺型位错偶极子与直线纳米裂纹的干涉效应 被引量:4
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作者 魏刚 肖万伸 席俊平 《固体力学学报》 CAS CSCD 北大核心 2018年第6期606-613,共8页
关于一维六方准晶中螺型位错偶极子与直线纳米裂纹干涉效应的问题,提出了一种可获得精确解的新方法.首先,将Gurtin-Murdoch表/界面理论推广运用到准晶材料中的纳米裂纹问题,建立了裂纹表面上含声子场、相位子场的应力边界模型;然后,利... 关于一维六方准晶中螺型位错偶极子与直线纳米裂纹干涉效应的问题,提出了一种可获得精确解的新方法.首先,将Gurtin-Murdoch表/界面理论推广运用到准晶材料中的纳米裂纹问题,建立了裂纹表面上含声子场、相位子场的应力边界模型;然后,利用复变函数中的共形映射方法,将直线裂纹问题化为单位圆孔问题;再借助于柯西积分方法获得了问题的封闭解,将该解退化到无表面效应时与经典解一致;最后,数值结果表明:当裂纹的尺寸减小到纳米量级时,表面效应将对声子场和相位子场中的应力场、像力及像力偶矩产生显著的影响,从而改变其力学性能,即裂纹尺寸越小,表面效应越强,声子场和相位子场中的应力场、像力及像力偶矩的数值变化越大;螺型位错偶极子偶臂的方向对像力的极值和自身平衡亦有较大影响. 展开更多
关键词 准晶 螺型位错偶极子 直线纳米裂纹 表面效应 像力 像力偶矩
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Interaction between a screw dislocation and a circular nano-inhomogeneity with a bimaterial interface
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作者 Tengwu He wanshen xiao +1 位作者 Xiangdong Li Yan Zhang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2017年第1期39-50,共12页
The problem of a screw dislocation interacting with a circular nano-inhomogeneity near a bimaterial interface is investigated. The stress boundary condition at the interface between the inhomogeneity and the matrix is... The problem of a screw dislocation interacting with a circular nano-inhomogeneity near a bimaterial interface is investigated. The stress boundary condition at the interface between the inhomogeneity and the matrix is modified by incorporating surface/interface stress. The analytical solutions to the problem in explicit series are obtained by an efficient complex variable method associated with the conformal mapping function. The image force exerted on the screw dislocation is also derived using the generalized Peach–Koehler formula. The results indicate that the elastic interference of the screw dislocation and the nano-inhomogeneity is strongly affected by a combination of material elastic dissimilarity, the radius of the inclusion, the distance from the center of inclusion to the bimaterial interface, and the surface/interface stress between the inclusion and the matrix. Additionally, it is found that when the inclusion and Material 3 are both harder than the matrix( μ1 〉 μ2 and μ3 〉 μ2), a new stable equilibrium position for the screw dislocation in the matrix appears near the bimaterial interface; when the inclusion and Material 3 are both softer than the matrix( μ1 〈 μ2 and μ3 〈 μ2), a new unstable equilibrium position exists close to the bimaterial interface. 展开更多
关键词 Screw dislocation Image force Conformal mapping Bimaterial interface Nano-inhomogeneity
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