论文标题
Timoshenko非局部应变梯度纳米梁：变化一致性，精确溶液和碳纳米管年轻模量
Timoshenko nonlocal strain gradient nanobeams: Variational consistency, exact solutions and carbon nanotube Young moduli
论文作者
论文摘要
碳纳米管（CNT）是纳米复合材料和纳米系统的主要成分。因此，CNT尺寸依赖性响应评估是当前对高级材料和结构力学的兴趣的话题。 CNT在这里通过用于Timoshenko纳米梁的变异一致的非局部应变梯度方法对CNT进行建模，从而扩展了[Int。 J. Eng。科学143（2019）73-91]仅限于细长的结构。比例效应由整体卷积描述，可方便地用差分和边界非局部定律替换。通过分子动力学模拟验证了用于分析估计CNT的年轻弹性模量减少的理论预测。
Carbon nanotubes (CNTs) are principal constituents of nanocomposites and nano-systems. CNT size-dependent response assessment is therefore a topic of current interest in Mechanics of Advanced Materials and Structures. CNTs are modeled here by a variationally consistent nonlocal strain gradient approach for Timoshenko nano-beams, extending the treatment in [Int. J. Eng. Science 143 (2019) 73-91] confined to slender structures. Scale effects are described by integral convolutions, conveniently replaced with differential and boundary nonlocal laws. The theoretical predictions, exploited to analytically estimate the reduced Young elastic modulus of CNTs, are validated by molecular dynamics simulations.
