Young's modulus and internal friction of Fe?Cr alloys in relation to heat treatment

Drapkin, B. M.; Fokin, B. V.

doi:10.1007/bf00693254

Cited by 7 publications

(10 citation statements)

References 2 publications

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“…For example, the hardness and isotropic (polycrystalline) elastic moduli of cementite have been reported by several authors. [17][18][19][20][22][23][24][25][26][27][28][29] Inoue et al 30,31 reported deformation and fracture behavior of cementite. Umemoto and co-workers 24,28 reported the effect of V, Cr, Mo and Mn on hardness and polycrystalline elastic moduli of Fe 3 C. Single-phase, thin films of cementite have been synthesized by PVD method on a Si substrate, 21,22 and their Young's modulus and Poisson's ratio have been measured.…”

Section: Introductionmentioning

confidence: 99%

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

Ghosh

2015

AIP Advances

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A comprehensive computational study of elastic properties of cementite (Fe3C) and its alloyed counterparts (M3C (M = Al, Co, Cr, Cu, Fe, Hf, Mn, Mo, Nb, Ni, Si, Ta, Ti, V, W, Zr, Cr2FeC and CrFe2C) having the crystal structure of Fe3C is carried out employing electronic density-functional theory (DFT), all-electron PAW pseudopotentials and the generalized gradient approximation for the exchange-correlation energy (GGA). Specifically, as a part of our systematic study of cohesive properties of solids and in the spirit of materials genome, following properties are calculated: (i) single-crystal elastic constants, Cij, of above M3Cs; (ii) anisotropies of bulk, Young’s and shear moduli, and Poisson’s ratio based on calculated Cijs, demonstrating their extreme anisotropies; (iii) isotropic (polycrystalline) elastic moduli (bulk, shear, Young’s moduli and Poisson’s ratio) of M3Cs by homogenization of calculated Cijs; and (iv) acoustic Debye temperature, θD, of M3Cs based on calculated Cijs. We provide a critical appraisal of available data of polycrystalline elastic properties of alloyed cementite. Calculated single crystal properties may be incorporated in anisotropic constitutive models to develop and test microstructure-processing-property-performance links in multi-phase materials where cementite is a constituent phase.

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Section: Introductionmentioning

confidence: 99%

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

Ghosh

2015

AIP Advances

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“…In most cases, linear extrapolation was applied. The coefficient of thermal expansion 29,30) and Young's modulus [29][30][31][32][33] were measured using this method. It must be noted that this method requires a large fraction of extrapolation because the maximum cementite volume fraction is 65%, which corresponds to the eutectic composition of 4.28 mass% C in the Fe-C system.…”

Section: Samples Used To Study the Physical Properties Of Cementitementioning

confidence: 99%

“…When discussing elastic constants, attention should be paid to the quantity of alloying elements in cementite. Table 3 [16][17][18]25,[29][30][31][32][33]40,41,50,51,57,70,71) is a summary of the experimental elastic constants of cementite reported after 1950. The table presents only data obtained using samples without alloying elements or samples with precise amounts of alloying elements.…”

Section: Measurement Of Elastic Constants Ofmentioning

confidence: 99%

Mechanical Properties of Cementite

Umemoto

Ohtsuka

2022

ISIJ Int.

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This review focuses on the mechanical properties of single-phase cementite. The mechanical properties of interest are 1) sound velocity, 2) elastic constants, 3) hardness, 4) plastic deformation mechanism, 5) wear, 6) fracture toughness, and 7) crystal orientation anisotropy. The effects of temperature, magnetic transition, and alloying elements on the sound velocity, elastic constants, and hardness were reviewed. Furthermore, experimental values of the above mechanical properties as well as other parameters, such as the specimen shape, the quantity of alloying elements, and the measurement method, were collected. A large variation was observed in the reported experimental values. The main reason for this is that cementite is metastable, and it is difficult to prepare large single-phase samples. Other factors, such as sample shape, measurement method, alloying element, magnetic transformation, and crystal orientation anisotropy, also influenced the measured values. Studies using first-principles calculations of cementite were also reviewed. The crystal orientation anisotropy of each elastic constant of single-crystal cementite based on the first-principles calculations are summarized, and its comparison with the experimental results is discussed. By comparing the elastic constants obtained by the first-principles calculations with the measured values, the former values of Young's modulus and shear modulus are several % and bulk modulus and Poisson's ratio are several tens of % larger than those of the latter. This is thought to be because of the difference in temperature between 0 K (first-principles calculations) and room temperature (measured value), and theoretical and experimental studies in which the temperature is changed are expected.

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“…Elastic constants of the cementite are seen as identical to those of the ferrite. [77,78] It is important to notice that only one interaction scale (homogenization over ferrite and cementite grains) is used for the pearlitic structure, so that the interaction between ferrite and cementite crystals of the same grain (real microstructure modeled in Reference 65) is not considered. For the duplex material, a weak hardening (because of the low slope of the measured hardening curve) is considered, assuming a stronger one in the austenitic phase.…”

Section: A Residual Stress Distribution After Plastic Prestrainmentioning

confidence: 99%

Second-order stresses and strains in heterogeneous steels: Self-consistent modeling and X-ray diffraction analysis

Inal

Lebrun

Belassel

2004

Metall Mater Trans A

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Theoretical and experimetal methods have been developed to characterize the effect of mechanical loading on the mesoscopic and macroscopic mechanical state of polycrystalline materials. Ferritic and austenitic single-phase materials were first analyzed, then phase interaction was studied in a multiductile phase material (austeno-ferritic duplex steel) and a natural reinforced composite (pearlitic steel). The theoretical method is based on the self-consistent approach in which elastic and plastic characteristics of the phases have been applied through the micromechanical behavior of single-crystal-using slip systems and microscopic hardening. The effects of a crystallographic texture and phase interaction during loading and after unloading were studied. The elastic and plastic anisotropy of the grains having the same crystallographic orientation were assessed by diffraction strain analysis. The simulation was compared with the experiments performed using the X-ray diffraction technique. In the considered duplex and pearlitic steels, it was observed that the ferrite stress state is much lower than the austenite and cementite ones. The results of diffraction strain distribution have showed the pertinence of the models and give valuable information, for example, for the yield stress and the hardening parameters of each phase in a two-phase material.

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Young's modulus and internal friction of Fe?Cr alloys in relation to heat treatment

Cited by 7 publications

References 2 publications

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

Mechanical Properties of Cementite

Second-order stresses and strains in heterogeneous steels: Self-consistent modeling and X-ray diffraction analysis

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