Application of the C-Me segregating theory in solid alloys to ceramics

Li, Zhilin; Qin, Huang; Wu, Yanchun; Li, Zhifeng

doi:10.1007/s11431-007-0055-8

Cited by 9 publications

(7 citation statements)

References 10 publications

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“…Many approaches were applied and developed for ceramic toughening mechanism simulations such as finite element method (FEM), first principles calculation (FPC) [47,48] and the empirical electron theory (EET) of solids and molecules [49,50,51,52]. …”

Section: Toughening Models For Max Phasesmentioning

confidence: 99%

Toughening Mechanisms in Nanolayered MAX Phase Ceramics—A Review

Chen

Bei

2017

Materials

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Advanced engineering and functional ceramics are sensitive to damage cracks, which delay the wide applications of these materials in various fields. Ceramic composites with enhanced fracture toughness may trigger a paradigm for design and application of the brittle components. This paper reviews the toughening mechanisms for the nanolayered MAX phase ceramics. The main toughening mechanisms for these ternary compounds were controlled by particle toughening, phase-transformation toughening and fiber-reinforced toughening, as well as texture toughening. Based on the various toughening mechanisms in MAX phase, models of SiC particles and fibers toughening Ti3SiC2 are established to predict and explain the toughening mechanisms. The modeling work provides insights and guidance to fabricate MAX phase-related composites with optimized microstructures in order to achieve the desired mechanical properties required for harsh application environments.

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Section: Toughening Models For Max Phasesmentioning

confidence: 99%

Toughening Mechanisms in Nanolayered MAX Phase Ceramics—A Review

Chen

Bei

2017

Materials

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“…[27], the binding force between two atoms which form the strongest covalence bond can be characterized by the covalent electron pair number of the strongest covalent bond n A in the phase, i.e., the larger the n A , the stronger the binding force between atoms, and the more difficult the reconstruction or decomposition of the phase. Therefore, the statistical value of the covalent electron pair number on the strongest bond Sn A of phase also can, as the same as n A , characterize the extent of difficulty or easiness for phase to reconstruct or decompose.…”

Section: Effect Of Sn a On The Phase Transition Temperaturementioning

confidence: 99%

Statistical values of valence electron structure parameters applied to research on phase transition temperature and eutectoid reaction of titanium alloy

Lin

2008

Sci. China Ser. E-Technol. Sci.

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Based on the empirical electron theory of solids and molecules (EET), the statistical values of valence electron structure parameters Sn A and SEA which can characterize the properties of alloy phases are calculated, and influences of alloying elements (e.g., V, Nb, Mo, Hf, Zr, Fe, Mn, Co, Cr, Si, and so on) on the phase transition temperature and eutectoid reaction of titanium alloy are discussed with the statistical values of valence electron structure parameters. The research results agree well with real situations.EET, valence electron structure, titanium alloy, statistical valueIn 1978, Yu [1] established the empirical electron theory of solids and molecules (EET). On the basis of the four basic hypotheses, EET ascertains, by dint of the lattice constant of the crystal, the electron distribution and the atom state of the solid or molecule with the bond length difference (BLD) method. The atom state and the corresponding electron distribution are called the valence electron structure (VES) of the solid or molecule in EET. The contents and calculation methods of EET have been dissertated in detail in refs. [2][3][4][5]. Since EET was delivered, investigators successively calculated the phase valence electron structures of solid solution [6] , industrial alloy phase [7] and compound [8] . They advanced the calculation model and method of the phase interface valence electron structures [9] , studied the relations of valence electron structures to the physical properties of material (e.g., melting point, boiling point, magnetic) [10,11] , phase diagrams [12] , phase transition [13] , solidifying [14] , hot working [15] , C-curve [16] , structures [17] and strength-toughness [18] , and quantitatively calculated the finishing rolling mechanical properties of the continuous casting and rolling non-quenched and tempered steel [19][20][21][22] . In EET, when researchers use the bond length

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“…The starting point of EESM is the valence electron structure (VES) calculated by the empirical electron theory (EET) [29][30][31][32], which was established by Yu. Because of its simplicity, EET has been applied successfully in predicting numerous properties of metals [25][26][27][28], alloys, and ceramics, such as, phase transformation [33], the interface conjunction factor [32,34]. Also, a brief English introduction of EET can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Covalent electron density analysis and surface energy calculation of gold with the empirical electron surface model

Liu

2011

Int J Miner Metall Mater

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Based on the empirical electron surface model (EESM), the covalent electron density of dangling bonds (CEDDB) was calculated for various crystal planes of gold, and the surface energy was calculated further. Calculation results show that CEDDB has a great influence on the surface energy of various index surfaces and the anisotropy of the surface. The calculated surface energy is in agreement with experimental and other theoretical values. The calculated surface energy of the close-packed (111) surface has the lowest surface energy, which agrees with the theoretical prediction. Also, it is found that the spatial distribution of covalent bonds has a great influence on the surface energy of various index surfaces. Therefore, CEDDB should be a suitable parameter to describe and quantify the dangling bonds and surface energy of various crystal surfaces.

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Application of the C-Me segregating theory in solid alloys to ceramics

Cited by 9 publications

References 10 publications

Toughening Mechanisms in Nanolayered MAX Phase Ceramics—A Review

Toughening Mechanisms in Nanolayered MAX Phase Ceramics—A Review

Statistical values of valence electron structure parameters applied to research on phase transition temperature and eutectoid reaction of titanium alloy

Covalent electron density analysis and surface energy calculation of gold with the empirical electron surface model

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