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摘 要 研究了无穷远纵向剪切下无限大基体中含共焦刚性核弹性椭圆夹杂内任意位置螺型位错的干涉问题。运用复变函数保角映射、解析延拓等方法,获得了基体与夹杂区域的应力场的级数形式精确解,并得出了位错像力的解析表达式,导出了纵向剪切下两椭圆界面最大应力及其比值公式。分析结果表明:夹杂内部的刚性核对位错与夹杂的干涉产生明显的扰动效应,排斥硬夹杂内位错,并使之不断趋近弹性夹杂界面。对于软夹杂,夹杂中的位错存在稳定的平衡位置,当位错位于刚性核和平衡位置之间时,位错会趋于弹性夹杂界面;当位错位于平衡位置和弹性夹杂界面之间时,位错会离开界面。结果还显示,夹杂的长轴和短轴之比对位错与夹杂的干涉也有着不可忽视的影响,尤其当位错在刚性核附近时,随着夹杂的长、短轴比值的减小,核对位错的排斥力也明显减弱。本文解答包含了多个以往文献成果。 相似文献
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The Fibonacci piezoelectric superlattices(FPSs) with an external dc electric field is presented, in which the dc electric field can tune the bandwidth of polaritonic band gaps(PBGs) continuously and reversibly via the electrooptic effect. The absolute bandwidths of two major PBGs of the FPSs around ω= 7.5 GHz and ω = 12.5 GHz can be broadened from 0.022 GHz to 0.74 GHz and from 0.02 GHz to 0.82 GHz with the dc electric field increasing from 0 to 1.342 × 10~6 V/m, respectively. The corresponding relative bandwidths of the two major PBGs are widened from 0.28% to 9.2% and from 0.18% to 6.35%, respectively. The general mechanism for the bandwidth tunability is that the coupling strength between the lattice vibration and electromagnetic waves is capable of being altered by the dc electric field via the electro-optic effect. Thus the properties can be applied to construct microwave switchings or field tunable bulk acoustic filters. 相似文献
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Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote mode III uniform load and concentrated load 总被引:2,自引:0,他引:2
In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series form by using the technical of conformal mapping and the method of analytic continuation. The effects of material combinations, bond of interface and geometric configurations on interfaciai stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfaciai stresses can be reduced by rational material combinations and geometric configurations designs for different load forms. 相似文献
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