Polygonization: Theory and comparison with experiments
Polygonization: Theory and comparison with experiments
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多边形化：理论及与实验的比较
DOI：
10.1016/j.ijengsci.2012.03.005
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发表时间：
2012
影响因子：
6.6
通讯作者：
B. D. Nguyen
中科院分区：
文献类型：
--
作者：
K. Le;B. D. Nguyen
在连续介质位错理论(CDT)下，对只有一个活动滑移系的单晶弯曲光束的能量泛函进行了渐近分析。通过松弛该能量泛函的光滑极小元，我们构造了一系列的分段光滑位移和分段恒定塑性变形，从而降低了能量并表现出多边形化。通过将小角度倾斜边界的表面能量等同于来自光滑极小器的梯度项在体能量中的贡献，可以从上方估计多边形数。与吉尔曼的实验结果进行了比较，显示出很好的一致性。
Within continuum dislocation theory (CDT) the energy functional of a bent beam, made of a single crystal having only one active slip system, is asymptotically analyzed. By relaxing the smooth minimizer of this energy functional, we construct a sequence of piecewise smooth displacements and piecewise constant plastic distortions reducing the energy and exhibiting polygonization. The number of polygons can be estimated from above by equating the surface energy of small angle tilt boundaries to the contribution of the gradient terms from the smooth minimizer in the bulk energy. The comparison with Gilman’s experimental results shows a good agreement.