On bending of single crystal beam with continuously distributed dislocations
On bending of single crystal beam with continuously distributed dislocations
复制标题
DOI：
10.1016/j.ijplas.2013.02.010
复制
发表时间：
2013-09
影响因子：
9.8
通讯作者：
K. Le;B. D. Nguyen
中科院分区：
文献类型：
--
作者：
K. Le;B. D. Nguyen
本文提出了考虑连续分布位错的单晶梁塑性弯曲理论。应用变分渐近方法，我们减少了能量泛函的梁的一维能量泛函，承认解析解。在塑性屈服以及位错密度的发病阈值被发现在所施加的弯矩。我们还考虑了卸载和退火后的弯曲梁的变形，并表明这种状态在能量上是优选的。通过比较小角度倾斜边界的表面能和体能量中的梯度项来估计多边形的数量。
The theory of plastic bending of single crystal beam taking into account continuously distributed dislocations is proposed. Applying the variational-asymptotic method we reduce the energy functional of the beam to the one-dimensional energy functional which admits analytical solutions. The threshold value at the onset of plastic yielding as well as the dislocation density are found in terms of the applied bending moment. We consider also the polygonization of the bent beam after unloading and annealing and show that such state is energetically preferable. The number of polygons is estimated by comparing the surface energy of small angle tilt boundaries and the gradient terms in the bulk energy.