arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1708.03286cond-mat.mtrl-sci
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相邻晶粒中马氏体组织的相互作用

Interaction of martensitic microstructures in adjacent grains

John M. Ball, Carsten Carstensen

摘要:

经常观察到相邻多晶粒中的马氏体显微结构是相关的。例如,Arlt的显微照片显示出在$\rm BaTiO_3$中的α-到-四元相转变中层状结构跨越晶界的传播。这种观察结果与晶界处变形的相容性要求有关。使用推广的阿达玛跳跃条件,这是探讨在马氏体相变的非线性弹性模型的情况下,双晶体与适当取向的柱状几何形状,其中在两个晶粒的微观结构被假定为只涉及两个马氏体变体,与平面或非平面的晶粒之间的界面。

英文摘要:

It is often observed that martensitic microstructures in adjacent polycrystal grains are related. For example, micrographs of Arlt exhibit propagation of layered structures across grain boundaries in the cubic-to-tetragonal phase transformation in $\rm BaTiO_3$. Such observations are related to requirements of compatibility of the deformation at the grain boundary. Using a generalization of the Hadamard jump condition, this is explored in the nonlinear elasticity model of martensitic transformations for the case of a bicrystal with suitably oriented columnar geometry, in which the microstructure in both grains is assumed to involve just two martensitic variants, with a planar or non-planar interface between the grains.

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