This paper presents an algorithm for analyzing the possibility of the formation of self-accommodation complexes of martensite crystals in alloys with shape memory effects with consideration for twinning and minimization of the strain averaged over a corresponding set of domains. It has been shown that complete self-accommodation is possible only in the complexes that simultaneously contain all the orientation relationship variants. The calculation performed for the case of rhombohedral martensite (four possible orientation relationship variants) has demonstrated that there is no average shape strain in the four domains. The thus-formed four-domain complex incorporates all the possible variants of the orientation relationship and, for this reason is a self-accommodation complex. Such complexes have been repeatedly observed in titanium nickelide alloys. The analysis of monoclinic 18R-martensite shows that complete self-accommodation can be attained only in the complex of 12 different domains. The experimentally observed four-domain complexes in the Cu—Al—Ni and Cu—Al—Mn alloys can be explained by partial self-accommodation, which takes the exposure of a martensite crystal on the outer surface of a crystal into account.

中文翻译：

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具有形状记忆效应的合金中实验观察到的马氏体晶体自适应复合物的证实

本文提出了一种算法，用于分析在形状记忆效应的合金中马氏体晶体形成自适应复合物的可能性，并考虑了孪晶和最小化在相应区域范围内平均的应变。已经表明，只有在同时包含所有取向关系变体的复合物中，完全自我调节才是可能的。对于菱形马氏体（四个可能的取向关系变量）进行的计算表明，在四个域中没有平均形状应变。如此形成的四畴复合物结合了取向关系的所有可能的变体，并且因此是自适应复合物。在镍钛合金中已经反复观察到这种配合物。单斜18R-马氏体的分析表明，只有在12个不同域的复合体中才能获得完全的自我适应。在实验观察到的Cu-Al-Ni和Cu-Al-Mn合金中的四畴络合物可以通过部分自适应来解释，该过程考虑了马氏体晶体在晶体外表面的暴露。