摘要
根据现代关于晶间界面的研究可知,晶界和相界多具有二维周期结构。由此出发,采用Fourier级数展开的表示,在给定了界面结构,在数学上即是形式地给定了边界条件的情况下,求出了两个各向异性物相间相界附近的弹性场。并以Ni中扭转晶界为例,作了应力场的数值计算。本文的方法和方程对于研究各种类型的晶界和相界均普遍可用,为处理这类问题提供了一种有效的简捷手段。
According to the recent studies on interfaces in crystals, it is evident that most grain boundaries and phase boundaries have two dimensional periodic structures. Starting from this fact, using the representation of Fourier series expansion, in the case of given interface structure, i.e., in mathematical sense, formerly given the boundary condition, the elastic fields near the phase boundary between two anisotropic phases are found. As an example, we compute numerically the field of a twist grain boundary in Ni. The method and equations presented in this paper are generally applicable for studying various types of grain boundaries and phase boundaries, providing an effective and concise method for treating this kind of problem.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1992年第9期1463-1473,共11页
Acta Physica Sinica
基金
国家自然科学基金
