Elastic fields around a nanosized spheroidal cavity under arbitrary uniform remote loadings

Elastic fields around a nanosized spheroidal cavity under arbitrary uniform remote loadings
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任意均匀远程载荷下纳米级球体空腔周围的弹性场

DOI:
10.1016/j.euromechsol.2008.05.001
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发表时间:
2009
影响因子:
4.1
通讯作者:
Wang, T. J.
Wang, T. J.
中科院分区:
工程技术2区
文献类型:
--
作者:
Ou, Z. Y.;Wang, G. F.;Wang, T. J.

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当空穴的尺寸缩小到纳米级时,表面效应对其力学行为起着重要的作用。基于表面弹性理论,研究了各向同性弹性介质中球腔在任意均匀载荷作用下的弹性场。利用位移势函数方法,得到了具有表面效应的纳米球腔周围弹性场的一般解。对于六种独立加载情况,给出了表面效应对孔洞周围弹性场的影响。结果表明,纳米空穴附近的弹性场不仅与空穴的形状和大小有关,而且还与残余表面张力和表面弹性常数有关。在纳米球腔的不同位置和不同的远程载荷下,表面效应是不同的。所得结果明显不同于经典结果,对含纳米孔洞的非均质材料的损伤分析和有效模量值的预测具有一定的参考价值。
When the size of a cavity shrinks to nanometers, surface effect plays an important role in its mechanical behavior. Based on the surface elasticity, we investigated the elastic fields around a spheroidal cavity embedded in an isotropic elastic medium subjected to arbitrary uniform loadings. Using the displacement potential functions method, we derived the general solution of elastic fields around a nanosized spheroidal cavity with surface effect. For six independent loading cases, the surface effects on the elastic fields around a cavity are presented in detail. It is shown that the elastic fields near a nanosized cavity depend not only on the shape and the size of the cavity but also on the residual surface tension and the surface elastic constants. The surface effect is different in different locations of the nanosized spheroidal cavity and under different remote loadings. The present results are clearly different from the classical ones, and are useful to the damage analysis and prediction of the effective moduli of heterogeneous materials containing nanosized cavities.
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