{"title":"ti - fe单晶和多晶的纳米硬度和弹性模量","authors":"S. A. Muslov, A. I. Lotkov","doi":"10.1134/S1029959923020042","DOIUrl":null,"url":null,"abstract":"<p>The paper reports on a nanoindentation study of the hardness <i>H</i> and Young’s modulus <i>E</i> in the B2 phase of quasi-binary TiNi-TiFe single crystals and Ti<sub>49</sub>Ni<sub>51</sub> single and polycrystals with and with no thermoelastic martensite transformations. The study shows that the elastic properties of the alloy single crystals depend on the concentration of Fe atoms and decrease gradually with a decrease in the Fe content and with a gradual decrease in the B2-phase stability to martensite transformations. In Ti<sub>50</sub>Ni<sub>50–<i>x</i></sub>Fe<sub><i>x</i></sub>, the dependence of the hardness <i>H</i> on the Fe content reveals a peak at equal Fe and Ni concentrations (25.0 at %), which is likely because the alloy at this Fe/Ni ratio is involved in its maximum solid solution hardening. The experimental results are compared with numerical data obtained by the Voigt averaging of elastic constants, showing a mean deviation of 11.55% between them. An analysis of the <i>H</i> and <i>E</i> correlation and the <i>H</i>/<i>E</i> ratio in the alloys as they lose the B2-phase stability to martensite transformations suggests that the correlation coefficient of <i>E</i> and <i>H</i> in TiNiFe measures 0.42, which corresponds to the range of moderate statistical values. In TiNi-TiFe with martensite transformation, the ratio <i>H</i>/<i>E</i> is higher than 0.035, and hence, higher than the values typical of metals and alloys. In our opinion, this is because the elastic moduli of the alloys are “softened” as they get close in concentration to the points of B2 → R → B19′ transitions. The <i>H</i>/<i>E</i> ratio in the alloys can be considered as a criterion of B2-phase stability loss with respect to martensite transformations.</p>","PeriodicalId":726,"journal":{"name":"Physical Mesomechanics","volume":"26 2","pages":"152 - 156"},"PeriodicalIF":1.8000,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nanohardness and Elastic Modulus of TiNi-TiFe Single and Polycrystals\",\"authors\":\"S. A. Muslov, A. I. Lotkov\",\"doi\":\"10.1134/S1029959923020042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The paper reports on a nanoindentation study of the hardness <i>H</i> and Young’s modulus <i>E</i> in the B2 phase of quasi-binary TiNi-TiFe single crystals and Ti<sub>49</sub>Ni<sub>51</sub> single and polycrystals with and with no thermoelastic martensite transformations. The study shows that the elastic properties of the alloy single crystals depend on the concentration of Fe atoms and decrease gradually with a decrease in the Fe content and with a gradual decrease in the B2-phase stability to martensite transformations. In Ti<sub>50</sub>Ni<sub>50–<i>x</i></sub>Fe<sub><i>x</i></sub>, the dependence of the hardness <i>H</i> on the Fe content reveals a peak at equal Fe and Ni concentrations (25.0 at %), which is likely because the alloy at this Fe/Ni ratio is involved in its maximum solid solution hardening. The experimental results are compared with numerical data obtained by the Voigt averaging of elastic constants, showing a mean deviation of 11.55% between them. An analysis of the <i>H</i> and <i>E</i> correlation and the <i>H</i>/<i>E</i> ratio in the alloys as they lose the B2-phase stability to martensite transformations suggests that the correlation coefficient of <i>E</i> and <i>H</i> in TiNiFe measures 0.42, which corresponds to the range of moderate statistical values. In TiNi-TiFe with martensite transformation, the ratio <i>H</i>/<i>E</i> is higher than 0.035, and hence, higher than the values typical of metals and alloys. In our opinion, this is because the elastic moduli of the alloys are “softened” as they get close in concentration to the points of B2 → R → B19′ transitions. 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引用次数: 0
摘要
本文研究了Ti49Ni51准二元ti - tife单晶和Ti49Ni51单晶和多晶在发生和不发生热弹性马氏体相变时B2相硬度H和杨氏模量E的纳米压痕变化。研究表明,合金单晶的弹性性能与铁原子浓度有关,随着铁含量的降低和b2相向马氏体转变的稳定性逐渐降低,合金单晶的弹性性能逐渐降低。在Ti50Ni50-xFex中,硬度H与Fe含量的关系在Fe和Ni浓度相等时达到峰值(25.0 at %),这可能是因为合金在此Fe/Ni比下参与了最大的固溶硬化。将实验结果与弹性常数Voigt平均法的数值数据进行了比较,两者的平均偏差为11.55%。对合金失去b2相稳定性时的H、E相关和H/E比值分析表明,TiNiFe中E、H的相关系数为0.42,符合中等统计值范围。在马氏体相变的ti - fe中,H/E大于0.035,高于金属和合金的典型值。我们认为,这是因为合金的弹性模量在浓度接近B2→R→B19′转变点时被“软化”了。合金中的H/E比值可以作为马氏体相变中b2相稳定性损失的判据。
Nanohardness and Elastic Modulus of TiNi-TiFe Single and Polycrystals
The paper reports on a nanoindentation study of the hardness H and Young’s modulus E in the B2 phase of quasi-binary TiNi-TiFe single crystals and Ti49Ni51 single and polycrystals with and with no thermoelastic martensite transformations. The study shows that the elastic properties of the alloy single crystals depend on the concentration of Fe atoms and decrease gradually with a decrease in the Fe content and with a gradual decrease in the B2-phase stability to martensite transformations. In Ti50Ni50–xFex, the dependence of the hardness H on the Fe content reveals a peak at equal Fe and Ni concentrations (25.0 at %), which is likely because the alloy at this Fe/Ni ratio is involved in its maximum solid solution hardening. The experimental results are compared with numerical data obtained by the Voigt averaging of elastic constants, showing a mean deviation of 11.55% between them. An analysis of the H and E correlation and the H/E ratio in the alloys as they lose the B2-phase stability to martensite transformations suggests that the correlation coefficient of E and H in TiNiFe measures 0.42, which corresponds to the range of moderate statistical values. In TiNi-TiFe with martensite transformation, the ratio H/E is higher than 0.035, and hence, higher than the values typical of metals and alloys. In our opinion, this is because the elastic moduli of the alloys are “softened” as they get close in concentration to the points of B2 → R → B19′ transitions. The H/E ratio in the alloys can be considered as a criterion of B2-phase stability loss with respect to martensite transformations.
期刊介绍:
The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.