Upscaling of dislocation walls in finite domains
Upscaling of dislocation walls in finite domains
复制标题
有限域中位错壁的放大
DOI：
10.1017/s0956792514000254
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发表时间：
2013
影响因子：
1.9
通讯作者：
M. Peletier
中科院分区：
文献类型：
--
作者：
P. V. Meurs;A. Muntean;M. Peletier
我们希望通过提高位错的微观力学来理解金属的宏观塑性行为。我们考虑一个高度简化的位错网络，这使得我们的离散模型是一个一维的粒子系统，其中粒子（位错壁）之间的相互作用是奇异的和非局部的。作为处理现实的几何形状的第一步，我们专注于有限尺寸的影响，而不是考虑一个无限域通常在文献中讨论。利用概率测度空间上的Γ-收敛性，导出了位错密度的有效方程。我们的分析产生了一个分类的宏观模型，其中域的大小起着关键作用。
We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our discrete model to be a one dimensional particle system, in which the interactions between the particles (dislocation walls) are singular and non-local. As a first step towards treating realistic geometries, we focus on finite-size effects rather than considering an infinite domain as typically discussed in the literature. We derive effective equations for the dislocation density by means of Γ-convergence on the space of probability measures. Our analysis yields a classification of macroscopic models, in which the size of the domain plays a key role.
影响因子：
2.6
作者：
Voskoboinikov R
通讯作者：
Voskoboinikov R