EVOLUTION OF GRAIN BOUNDARIES
EVOLUTION OF GRAIN BOUNDARIES
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DOI：
10.1142/s0218202501001069
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发表时间：
2001-06
影响因子：
3.5
通讯作者：
中科院分区：
文献类型：
--
作者：
建立了曲率驱动生长的(平面)晶界网络的演化和趋于平衡的趋势，假设该系统最初接近于某种平衡构型。曲率驱动生长是加工多晶材料以获得所需的织构、延展性、韧性、强度和其他性能的主要机制。在三个结点上施加鲱鱼条件确保了这个系统是耗散的，并且互补条件成立。我们引入了一种新的方法来利用已知的Solonnikov型估计，它们在时间上只是局部的，以获得在受控范数下在时间上是全局的解。这些问题是作为中尺度界面测绘项目的一部分提出的。
Evolution and trend to equilibrium of a (planar) network of grain boundaries subject to curvature driven growth is established under the assumption that the system is initially close to some equilibrium configuration. Curvature driven growth is the primary mechanism in processing polycrystalline materials to achieve desired texture, ductility, toughness, strength, and other properties. Imposition of the Herring condition at triple junctions ensures that this system is dissipative and that the complementing conditions hold. We introduce a new way to employ the known Solonnikov-type estimates, which are only local in time, to obtain solutions that are global in time with controlled norm. These issues were raised as part of the Mesoscale Interface Mapping Project.