{"title":"无序非均匀立方 TiCy、ZrCy 和 HfCy 碳化物的熔化温度和弹性常数","authors":"Aleksandr I. Gusev","doi":"10.1016/j.ijrmhm.2024.106920","DOIUrl":null,"url":null,"abstract":"<div><div>Based on the analysis of phase diagrams of carbide-forming systems M–C (M = Ti, Zr, Hf), an empirical relationship is proposed between the elastic stiffness constants <em>c</em><sub><em>ij</em></sub> of nonstoichiometric cubic carbides of titanium, zirconium and hafnium and their melting temperature. The dependences of the melting temperatures of nonstoichiometric cubic carbides TiC<sub><em>y</em></sub>, ZrC<sub><em>y</em></sub> and HfC<sub><em>y</em></sub> on their composition in homogeneity regions are calculated using the elastic stiffness constants <em>c</em><sub>11</sub>(<em>y</em>) and <em>c</em><sub>44</sub>(<em>y</em>) of these carbides. The calculated maximum melting temperatures are observed for carbides ∼TiC<sub>0.80</sub>, ∼ZrC<sub>0.82</sub> and ∼ HfC<sub>0.94</sub><sub>–</sub><sub>0.95</sub> and are equal to 3345, 3708 and 4192 K, respectively. There is a qualitative correlation between the concentration dependences of the melting temperatures <em>T</em><sub>m</sub>(<em>y</em>) of TiC<sub><em>y</em></sub>, ZrC<sub><em>y</em></sub> and HfC<sub><em>y</em></sub> carbides and the anisotropy of the elastic properties of these carbides.</div></div>","PeriodicalId":14216,"journal":{"name":"International Journal of Refractory Metals & Hard Materials","volume":"126 ","pages":"Article 106920"},"PeriodicalIF":4.2000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Melting temperature and elastic constants of disordered nonstoichiometric cubic TiCy, ZrCy and HfCy carbides\",\"authors\":\"Aleksandr I. Gusev\",\"doi\":\"10.1016/j.ijrmhm.2024.106920\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Based on the analysis of phase diagrams of carbide-forming systems M–C (M = Ti, Zr, Hf), an empirical relationship is proposed between the elastic stiffness constants <em>c</em><sub><em>ij</em></sub> of nonstoichiometric cubic carbides of titanium, zirconium and hafnium and their melting temperature. The dependences of the melting temperatures of nonstoichiometric cubic carbides TiC<sub><em>y</em></sub>, ZrC<sub><em>y</em></sub> and HfC<sub><em>y</em></sub> on their composition in homogeneity regions are calculated using the elastic stiffness constants <em>c</em><sub>11</sub>(<em>y</em>) and <em>c</em><sub>44</sub>(<em>y</em>) of these carbides. The calculated maximum melting temperatures are observed for carbides ∼TiC<sub>0.80</sub>, ∼ZrC<sub>0.82</sub> and ∼ HfC<sub>0.94</sub><sub>–</sub><sub>0.95</sub> and are equal to 3345, 3708 and 4192 K, respectively. There is a qualitative correlation between the concentration dependences of the melting temperatures <em>T</em><sub>m</sub>(<em>y</em>) of TiC<sub><em>y</em></sub>, ZrC<sub><em>y</em></sub> and HfC<sub><em>y</em></sub> carbides and the anisotropy of the elastic properties of these carbides.</div></div>\",\"PeriodicalId\":14216,\"journal\":{\"name\":\"International Journal of Refractory Metals & Hard Materials\",\"volume\":\"126 \",\"pages\":\"Article 106920\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Refractory Metals & Hard Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0263436824003688\",\"RegionNum\":2,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Refractory Metals & Hard Materials","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263436824003688","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Melting temperature and elastic constants of disordered nonstoichiometric cubic TiCy, ZrCy and HfCy carbides
Based on the analysis of phase diagrams of carbide-forming systems M–C (M = Ti, Zr, Hf), an empirical relationship is proposed between the elastic stiffness constants cij of nonstoichiometric cubic carbides of titanium, zirconium and hafnium and their melting temperature. The dependences of the melting temperatures of nonstoichiometric cubic carbides TiCy, ZrCy and HfCy on their composition in homogeneity regions are calculated using the elastic stiffness constants c11(y) and c44(y) of these carbides. The calculated maximum melting temperatures are observed for carbides ∼TiC0.80, ∼ZrC0.82 and ∼ HfC0.94–0.95 and are equal to 3345, 3708 and 4192 K, respectively. There is a qualitative correlation between the concentration dependences of the melting temperatures Tm(y) of TiCy, ZrCy and HfCy carbides and the anisotropy of the elastic properties of these carbides.
期刊介绍：
The International Journal of Refractory Metals and Hard Materials (IJRMHM) publishes original research articles concerned with all aspects of refractory metals and hard materials. Refractory metals are defined as metals with melting points higher than 1800 °C. These are tungsten, molybdenum, chromium, tantalum, niobium, hafnium, and rhenium, as well as many compounds and alloys based thereupon. Hard materials that are included in the scope of this journal are defined as materials with hardness values higher than 1000 kg/mm2, primarily intended for applications as manufacturing tools or wear resistant components in mechanical systems. Thus they encompass carbides, nitrides and borides of metals, and related compounds. A special focus of this journal is put on the family of hardmetals, which is also known as cemented tungsten carbide, and cermets which are based on titanium carbide and carbonitrides with or without a metal binder. Ceramics and superhard materials including diamond and cubic boron nitride may also be accepted provided the subject material is presented as hard materials as defined above.
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