Polygonization as low energy dislocation structure
Polygonization as low energy dislocation structure
复制标题
多边形化作为低能位错结构
DOI：
10.1007/s00161-010-0137-x
复制
发表时间：
2010
影响因子：
2.6
通讯作者：
Q. Nguyen
中科院分区：
文献类型：
--
作者：
K. Le;Q. Nguyen
在连续位错理论下，导出了单晶弯曲光束的一维能量泛函。通过松弛该能量泛函的连续可微极小值，我们构造了一系列的分段光滑挠度和分段恒定塑性变形，从而降低了能量并表现出多边形化。通过比较小角度倾斜边界的表面能与体能中来自弱极小值的梯度项的贡献，可以估计多边形数。
Within continuum dislocation theory, one-dimensional energy functional of a bent beam, made of a single crystal, is derived. By relaxing the continuously differentiable minimizer of this energy functional, we construct a sequence of piecewise smooth deflections and piecewise constant plastic distortions reducing the energy and exhibiting polygonization. The number of polygons can be estimated by comparing the surface energy of small angle tilt boundaries with the contribution of the gradient terms from the weak minimizer in the bulk energy.