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1Prediction of nonlocal scale parameter for carbon nanotubes显示文摘Based on the theory of nonlocal elasticity,a nonlocal shell model accounting for the small scale effect is developed for the bending characteristics of CNTs subjected to the concentrated load.With this nonlocal shell model,explicit expressions are derived for the bending solutions.To extract the proper values of nonlocal scale parameter,we have made molecular dynamics(MD) simulations for various radii and lengths of armchair and zigzag CNTs,the results of which are matched with those of nonlocal continuum model.It is found that the present nonlocal elastic shell model with its appropriate values of nonlocal scale parameter has the capability to predict the bending behavior of CNTs,which is comparable with the results of MD simulations.Moreover,exact closed form solutions for the nonlocal scale parameter for zigzag and armchair CNTs are obtained.The results show that nonlocal scale parameter is independent of the length of CNTs,and dependent on the radius of CNTs.LIANG YingJing HAN Qiang 2012Science China(Physics,Mechanics & Astronomy)2012,55,9:2
2基于Riesz势空间分数阶算子的非局部粘弹性力学元件显示文摘将幂函数引入Eringen非局部线粘弹性本构,导出Riesz势形式的应力-应变关系.利用该关系,构造非局部弹簧和非局部阻尼器两类元件;利用元件的串联和并联,建立非局部Kelvin和非局部Maxwell粘弹性模型,推导模型的松弛模量和蠕变柔量.进一步,给出非局部粘弹性模型在生物组织超声波耗散建模中的应用.庞国飞 陈文 2017固体力学学报2017,38,1:1
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