2011
DOI: 10.1016/s1003-6326(11)60868-6
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A first-principles study on elastic properties and stability of TixV1-xC multiple carbide

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Cited by 21 publications
(4 citation statements)
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“…This approximation was successfully applied by Abadias and co-workers in order to systematically investigate the composition dependence of the structure, elastic, and electronic properties of the Ti 1– x Zr x N system. Other authors have also applied this calculation method with considerable success. Convergence tests were carried out analyzing the dependence of the plane-wave cutoff energy on the total energy and the Monkhorst–Pack grid of k -points. These tests showed that the parameters used here (see section 2.2) are sufficient to ensure that relative energies converged and that the theoretical results are reliable.…”
Section: Resultsmentioning
confidence: 99%
“…This approximation was successfully applied by Abadias and co-workers in order to systematically investigate the composition dependence of the structure, elastic, and electronic properties of the Ti 1– x Zr x N system. Other authors have also applied this calculation method with considerable success. Convergence tests were carried out analyzing the dependence of the plane-wave cutoff energy on the total energy and the Monkhorst–Pack grid of k -points. These tests showed that the parameters used here (see section 2.2) are sufficient to ensure that relative energies converged and that the theoretical results are reliable.…”
Section: Resultsmentioning
confidence: 99%
“…Maouche et al [23] analyzed the stability of Ti 1−x Zr x C, Ti 1−x Hf x C and Hf 1−x Zr x C using First-principles approach. Wang et al [24] used First-principles and pseudopotential plane wave methods to study the structure, stability and elastic properties of transition group multicomponent carbides Ti x V 1−x C. The results show that the equilibrium lattice constant of Ti x V 1−x C decreases almost linearly with the increase of vanadium composition. At the same time, vanadium has the potential to increase the hardness of TiC, but it also increases the brittleness of TiC.…”
Section: Microhardness Analysismentioning
confidence: 99%
“…Теоретические оценки упругих свойств, полученные, как правило, в разных вариантах теории функционала плотности с использованием приближений локальной плотности (LDA) и обобщенного градиента (GGA) для обменно-корреляционных потенциалов, имеются только для стехиометрического карбида титана TiC 1.0 и представлены в работах [14,[19][20][21][22][23][24][25][26][27][28]. Результаты теоретического расчета упругих констант c i j стехиометрического TiC 1.0 в разных работах отличаются весьма заметно: согласно [14,24,25] c 11 ∼ = 470, c 12 ∼ = 105 и c 44 ∼ = 170 GPa, а по данным [20,21] эти же константы упругой жесткости больше и равны 603−610, 103−124 и 173−181 GPa соответственно. Заметим, что использование в расчетах приближения LDA приводит к большим значениям c i j по сравнению с приближением GGA.…”
Section: Introductionunclassified