Decomposition of the transformation displacement field
Decomposition of the transformation displacement field
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DOI：
10.1080/01418619808239965
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发表时间：
1998-10
影响因子：
1.6
通讯作者：
Wen-Zheng Zhang
中科院分区：
文献类型：
--
作者：
Wen-Zheng Zhang
本文从O格点理论的一个修正出发，研究了相变的位移场。提供了一种分析界面迁移可能引起的长程应变剪切场的方法。应用奇异值分解方法建立位移矢量与晶格中相关点之间的双向关联。位移格（D格）的介绍，它作为一个方便的框架，用于描述的长程应变场。的D晶格示出相关的O晶格的互等定理。长程应变剪切场J1的大小与界面取向和晶体之间的局部平移位移的变化进行了研究。对于一个给定的习惯平面，条件j 1达到最小值要求的平移矢量不应包含任何组件，可以容纳的界面中的位错。最小值j 1与t有关。。
Abstract The displacement field of a phase transformation is studied from a modification of the O-lattice theory. A methodology is provided for analysing the possible long-range strain shear field caused by migration of an interface. The singular value decomposition method is applied to establish a two-way association between a displacement vector and its associated point(s) in a crystal lattice. The displacement lattice (D lattice) is introduced; it serves as a convenient framework for the description of the long-range strain field. The D lattice is shown to be related to the O lattice by a reciprocal theorem. The magnitude of the long-range strain shear field j 1 is examined with variations of the interface orientation and the local translation displacement between crystals. For a given habit plane, the condition for j 1 to reach a minimum value requires that the translation vector should not contain any component that can be accommodated by dislocations in the interface. The minimum j 1 is related to t...