【摘要】 研究纳米纤维受拉力作用时静态应变的轴向分布规律.根据弹性梯度理论,提出一个新的本构模型.讨论高阶应变梯度对纳米纤维轴向应变分布的影响.忽略轴向应变高阶小量,通过基本方程和变分原理得到平衡控制方程,再通过变分法和残余权值法,导出全部的经典和非经典边界条件.得到的解析计算结果显示出高阶应变梯度对尺度和边界效应的影响.更多还原

【Abstract】 This paper studies the static strain properties of a gradient nanofiber in tension.A new constitutive model based on gradient elasticity is proposed.The influence of high-order gradient of strain on static analysis of nanofibers is discussed.After neglecting the higher infinitesimal strain along nanofiber’s longitudinal direction,the governing equation of equilibrium is obtained with combination of the basic equation and a proposed variational principle.By using both variational and weighted residuals methods,all classical and nonclassical boundary conditions are determined.Some influences of high-order gradient of stain on size and boundary effects are identified and assessed by analytical expressions.更多还原