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Showing papers on "Strain hardening exponent published in 2018"


Journal ArticleDOI
TL;DR: In this paper, a near-fully dense CoCrFeNiMn high entropy alloy was additively manufactured by selective laser melting successfully, and the as-built samples exhibit a hierarchical structure, including melt pools, columnar grains, sub-micron cellular structures, and dislocations.

369 citations


Journal ArticleDOI
TL;DR: A three-level heterogeneous grain structure with grain sizes spanning the nanometer to micrometer range, imparting a high yield strength well in excess of 1 GPa leads to a sustainable strain hardening rate, a record-wide hysteresis loop in load−unload−reload stress−strain curve and hence high back stresses.
Abstract: Ductility, i.e., uniform strain achievable in uniaxial tension, diminishes for materials with very high yield strength. Even for the CrCoNi medium-entropy alloy (MEA), which has a simple face-centered cubic (FCC) structure that would bode well for high ductility, the fine grains processed to achieve gigapascal strength exhaust the strain hardening ability such that, after yielding, the uniform tensile strain is as low as ∼2%. Here we purposely deploy, in this MEA, a three-level heterogeneous grain structure (HGS) with grain sizes spanning the nanometer to micrometer range, imparting a high yield strength well in excess of 1 GPa. This heterogeneity results from this alloy's low stacking fault energy, which facilitates corner twins in recrystallization and stores deformation twins and stacking faults during tensile straining. After yielding, the elastoplastic transition through load transfer and strain partitioning among grains of different sizes leads to an upturn of the strain hardening rate, and, upon further tensile straining at room temperature, corner twins evolve into nanograins. This dynamically reinforced HGS leads to a sustainable strain hardening rate, a record-wide hysteresis loop in load-unload-reload stress-strain curve and hence high back stresses, and, consequently, a uniform tensile strain of 22%. As such, this HGS achieves, in a single-phase FCC alloy, a strength-ductility combination that would normally require heterogeneous microstructures such as in dual-phase steels.

316 citations


Journal ArticleDOI
TL;DR: In this paper, a single-phase CrCoNi medium-entropy alloys (MEA) with various heterogeneous microstructures, using cold rolling followed by annealing at various temperatures, was characterized using hat-shaped specimens in Hopkinson-bar experiments.

207 citations


Journal ArticleDOI
TL;DR: In this article, a scanning electron microscope and electron backscattered diffraction (EBSD) analysis revealed a fine cellular-dendritic (0.5 to 2.μm) substructure inside large irregularly shaped grains.
Abstract: Structure–property relationships of an additively manufactured 316L stainless steel were explored. A scanning electron microscope and electron backscattered diffraction (EBSD) analysis revealed a fine cellular-dendritic (0.5 to 2 μm) substructure inside large irregularly shaped grains (~ 100 μm). The cellular structure grows along the 〈100〉 crystallographic directions. However, texture analysis revealed that the main 〈100〉 texture component is inclined by ~15 deg from the building direction. X-ray diffraction line profile analysis indicated a high dislocation density of ~1 × 1015 m−2 in the as-built material, which correlates well with the observed EBSD microstructure and high-yield strength, via the traditional Taylor hardening equation. Significant variations in strain hardening behavior and ductility were observed for the horizontal (HB) and vertical (VB) built samples. Ductility of HB and VB samples measured 49 and 77 pct, respectively. The initial growth texture and subsequent texture evolution during tensile deformation are held responsible for the observed anisotropy. Notably, EBSD analysis of deformed samples showed deformation twins, which predominately form in the grains with 〈111〉 aligned parallel to the loading direction. The VB samples showed higher twinning activity, higher strain hardening rates at high strain, and therefore, higher ductility. Analysis of annealed samples revealed that the observed microstructures and properties are thermally stable, with only a moderate decrease in strength and very similar levels of ductility and anisotropy, compared with the as-built condition.

178 citations


Journal ArticleDOI
TL;DR: In this paper, the deformation mechanisms were systematically investigated using EBSD and TEM for samples strained to 1.3, 5% and 16% and a substantial 33.3% uniform elongation was achieved.

174 citations


Journal ArticleDOI
TL;DR: In this paper, a ferrous Fe60Co15Ni15Cr10 (at%) medium-entropy alloys (MEAs) was shown to exhibit a combination of cryogenic tensile strength of ∼1.5 GPa and ductility of ∼87% due to the multiple-stage strain hardening.

150 citations


Journal ArticleDOI
TL;DR: In this article, an interstitial high-entropy alloys (iHEAs) with nominal composition of Fe-30Mn-10Co-10Cr-0.5C was produced and investigated via in-situ and interrupted in-sit tensile testing in a scanning electron microscope (SEM) combining electron channeling contrast imaging (ECCI) and electron backscatter diffraction (EBSD) techniques.

148 citations


Journal ArticleDOI
TL;DR: In this paper, a linear gradient in grain size was introduced into Fe-Mn-C twinning-induced plasticity (TWIP) steel, which is one of the promising structural steels in automobile industry.

135 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the mechanical characteristics of salt rock using uniaxial compression tests and creep tests in a salt diapir located in the south of Iran and found that the stress-strain curves were typical for a ductile material characterized by moderate strain hardening.

120 citations


Journal ArticleDOI
TL;DR: In this paper, the effect of back stress on the mechanical behaviors of heterogeneous material is studied in two modeled heterogeneous laminates, i.e. laminated structure with a nanostructured (NS) Cu-Zn alloy layer sandwiched between two coarse-grained (CG) pure Cu layers.
Abstract: The effect of back stress on the mechanical behaviors of heterogeneous material is studied in two modeled heterogeneous laminates, i.e. laminated structure with a nanostructured (NS) Cu-Zn alloy layer sandwiched between two coarse-grained (CG) pure Cu layers. The improved tensile ductility of NS layer is revealed and attributed to the constraint from the stable CG layers. It is found that the elastic/plastic interaction between NS and CG layers is capable of significantly improving the back stress, which makes a significant contribution to the synergetic strain hardening in low strain stage. Furthermore, a higher mechanical incompatibility permits stronger and longer mutual interaction between layers, i.e. coupling effect, which contributes to a higher back stress. These results improve our understanding about the role of back stress on mechanical behaviors of heterogeneous laminate materials.

109 citations


Journal ArticleDOI
TL;DR: In this paper, the authors defined ductility as the elongation to failure of a sample during standard uniaxial tensile tests, which is a better measure of ductility for small samples because they are less sensitive to sample size.

Journal ArticleDOI
TL;DR: In this paper, the authors measured geometrically necessary dislocation densities (GND) associated with non-uniform plastic deformation and calculated the statistically stored dislocation (SSD) density by subtracting the GND density from the total dislocation density.

Journal ArticleDOI
TL;DR: In this paper, the effects of Sn content on strain hardening behavior of as-extruded Mg-xSn (x = 1.3, 2.4, 3.6 and 4.7) binary alloys were investigated by uniaxial tensile tests at room temperature.
Abstract: The effects of Sn content on strain hardening behavior of as-extruded Mg-xSn (x = 1.3, 2.4, 3.6 and 4.7 wt%) binary alloys were investigated by uniaxial tensile tests at room temperature. Strain hardening rate, strain hardening exponent and hardening capacity were obtained from the true plastic stress-strain curves. After hot extrusion, the as-extruded Mg-Sn alloys are mainly composed of α-Mg matrix and second phase Mg2Sn, which only exists in Mg-3Sn and Mg-4Sn. Average grain size decreases from 15.6 μm to 3.6 µm with Sn content increases from 1.3 to 4.7 wt%. The experimental results show that Sn content decreases strain hardening ability of as-extruded Mg-Sn alloys, but gives rise to an obvious elevation in tensile strength, yield strength and elongation of them. With increasing Sn content, strain hardening rate decreases from 3527 MPa to 1211 MPa at (σ-σ0.2) = 50 MPa, strain hardening exponent decreases from 0.21 to 0.13 and hardening capacity decreases from 1.66 to 0.63. The variation in strain hardening behavior of Mg-Sn alloys with Sn content is discussed in terms of the influences of grain size and distribution of grain orientation.

Journal ArticleDOI
TL;DR: In this article, a new multi-element β titanium alloy Ti-3Al-5Mo-7V-3Cr (Ti-3573) was designed using the d-electron method based on a commercial alloy.

Journal ArticleDOI
TL;DR: In this article, the tensile properties of an as-cast CoCrFeMnNi high-entropy alloy were investigated at various temperatures ranging from −160 to 1000°C.
Abstract: Tensile properties of an as-cast CoCrFeMnNi high-entropy alloy were investigated at various temperatures ranging from −160 to 1000 °C. The tensile strength and ductility did not vary significantly with loading direction, despite the alloy’s strongly preferred crystallographic orientation. The impact toughness values of the as-cast high-entropy alloy were much higher than those of many traditional alloys, particularly at low temperatures. The mechanical properties of the as-cast high-entropy alloy were compared with those of wrought high-entropy alloy and noticeable differences between the two alloys were found. The maximum tensile ductility and three different strain hardening stages were observed at 500 °C in the as-cast structure. Transmission electron microscopy observations demonstrated that the initiation of deformation twinning was very active even at 500 °C. A simple calculation suggests that very large grains of the as-cast structure induced a reduction in twinning stress, retarding the onset of strain localization.

Journal ArticleDOI
TL;DR: In this article, the effect of Si content on the activation and kinetics of transformation-induced plasticity (TRIP) effect, the formation of deformation twins, as well as the strain partitioning between phase constituents during deformation was studied in detail.

Journal ArticleDOI
TL;DR: In this paper, the strain-hardening and fracture behavior of high manganese austenitic twinning induced plasticity (TWIP) steel at temperatures ranging from 123 to 773 K were investigated.

Journal ArticleDOI
TL;DR: The fundamental role of junction formation in connecting dislocation microstructure evolution and strain hardening in face-centered cubic (fcc) Cu is demonstrated and it is found that glissile junctions make the dominant contribution to strainhardening.
Abstract: When metals plastically deform, the density of line defects called dislocations increases and the microstructure is continuously refined, leading to the strain hardening behavior. Using discrete dislocation dynamics simulations, we demonstrate the fundamental role of junction formation in connecting dislocation microstructure evolution and strain hardening in face-centered cubic (fcc) Cu. The dislocation network formed consists of line segments whose lengths closely follow an exponential distribution. This exponential distribution is a consequence of junction formation, which can be modeled as a one-dimensional Poisson process. According to the exponential distribution, two non-dimensional parameters control microstructure evolution, with the hardening rate dictated by the rate of stable junction formation. Among the types of junctions in fcc crystals, we find that glissile junctions make the dominant contribution to strain hardening.

Journal ArticleDOI
Christian C. Roth1, Dirk Mohr1
TL;DR: In this article, a parametric study evaluating more than 600 distinct specimen geometries is performed in an attempt to identify a universal specimen geometry for all types of materials, but no single geometry can be found for different hardening behaviors, it seems to be necessary to use several distinct geometry to cover all levels of ductility, and the authors recommend testing three different types of specimen per material, reporting the highest measured strain among all specimens as strain to fracture for simple shear.

Journal ArticleDOI
Lei Ren1, Wenlong Xiao1, Chaoli Ma1, Ruixiao Zheng1, Lian Zhou1 
TL;DR: In this paper, a multi-alloyed near β-Ti alloy Ti-6Cr-4Mo-2Al-2Sn-1Zr (Ti-64221) with high strength and high ductility was designed utilizing the d-electron theory combined with molybdenum equivalence approaches.

Journal ArticleDOI
TL;DR: In this paper, the effect of Mn additions on the microstructural characteristics and the ensuring mechanical properties has been investigated by investigating two variants of medium Mn steels with compositions of 0.2C-7/10Mn-3Al, subjected to intercritical annealing (IA) and tensile testing.
Abstract: Manganese is normally considered as the most important alloying element in medium Mn steels. However, the influence of Mn additions on the microstructural characteristics and the ensuring mechanical properties has not been much studied. This was addressed in the present study by investigating two variants of medium Mn steels with compositions of 0.2C-7/10Mn-3Al (in wt%), subjected to intercritical annealing (IA) and tensile testing. Results showed that a higher Mn addition can effectively increase the fraction of retained austenite (RA) at ambient temperature. However, the mechanical stability of RA was reduced, due to the lower C concentration partitioned into austenite during IA treatments. The higher fraction and lower mechanical stability of RA in the 10Mn steel gave rise to an enhanced transformation-induced plasticity (TRIP) effect, which was the main contributor to its higher strain hardening rate and improved mechanical properties, confirmed by a dislocation density-based strain hardening model. The yielding behavior and the Portevin-Le Chatelier (PLC) effect of the investigated steels were also found to be altered with different austenite mechanical stability as a consequence of different Mn additions and IA temperatures. Higher deformation-induced martensite transformation (DIMT) kinetics, i.e. lower mechanical stability of austenite, resulted in a lower yield point elongation, and eventually changed the yielding to a continuous manner due to the formation of stress-induced martensite. The PLC effect only occurred in the intermediate austenite stability range, and the critical strain for the onset of jerky flow showed a first decrease and then an increasing trend with higher DIMT kinetics. The observed beneficial effect of Mn additions on mechanical property improvement in medium Mn steels offers a significant aspect for further alloy design of such steels.

Journal ArticleDOI
TL;DR: Based on binary phase diagrams and thermodynamic calculation, CoCrFeNiTax (x ǫ = 0.1, 0.3, 0.5 and 0.7) eutectic high entropy alloys were designed as discussed by the authors.

Journal ArticleDOI
TL;DR: In this paper, a FeCoNiNb0.5 medium-entropy-alloy nanocomposite was designed, which possesses a high volume fraction (>50%) of a cubic laves phase but shows superb strength and excellent malleability at room temperature.

Journal ArticleDOI
TL;DR: In this article, the back stress induced by carbon nanotube/aluminum (CNT/Al) composites exhibit higher strain hardening capability than the unreinforced ultrafine-grained Al matrix.
Abstract: As demonstrated by the loading–unloading tests and the modeling of the grain size effect and the composite effect, mainly owing to the back stress induced by CNTs, carbon nanotube/aluminum (CNT/Al) composites exhibit higher strain hardening capability than the unreinforced ultrafine-grained Al matrix. The back stress induced by CNTs should arise from the interfacial image force and the long-range interaction between statically stored dislocations and geometrically necessary dislocations around the CNT/Al interface. Therefore, this CNT-induced interfacial back stress strengthening mechanism is supposed to provide a novel route to enhancing the strain hardening capability and ductility in CNT/Al composites.

Journal ArticleDOI
TL;DR: In this article, a face-centered cubic FeCoNiCrMn high-entropy alloy with different grain sizes was tested to understand the effect of grain size, thus grain boundary volume, on the mechanical properties.
Abstract: In this study, mechanical tests were conducted on a face-centered cubic FeCoNiCrMn high-entropy alloy, both in tension and compression, in a wide range of strain rates (10−4–104 s−1) to systematically investigate its dynamic response and underlying deformation mechanism. Materials with different grain sizes were tested to understand the effect of grain size, thus grain boundary volume, on the mechanical properties. Microstructures of various samples both before and after deformation were examined using electron backscatter diffraction and transmission electron microscopy. The dislocation structure as well as deformation-induced twins were analyzed and correlated with the measured mechanical properties. Plastic stability during tension of the current high-entropy alloy (HEA), in particular, at dynamic strain rates, was discussed in lights of strain-rate sensitivity and work hardening rate. It was found that, under dynamic conditions, the strength and uniform ductility increased simultaneously as a result of the massive formation of deformation twins. Specifically, an ultimate tensile strength of 734 MPa and uniform elongation of ∼63% are obtained at 2.3 × 103 s−1, indicating that the alloy has great potential for energy absorption upon impact loading.

Journal ArticleDOI
TL;DR: In this article, the ductility of NiCoCr equiatomic alloy was investigated through microstructural analysis of single crystals deformed under tension, showing that multiple slip and nanotwinning were prominent in the early stages of deformation.
Abstract: Unusual strain hardening response and ductility of NiCoCr equiatomic alloy were investigated through microstructural analysis of [111], [110] and [123] single crystals deformed under tension. Nano-twinning prevailed at, as early as, 4% strain along the [110] orientation, providing a steady work hardening, and thereby a significant ductility. While single slip dominated in the [123] orientation at the early stages of deformation, multiple slip and nanotwinning was prominent in the [111] orientation. Significant dislocation storage capability and resistance to necking due to nanotwinning provided unprecedented ductility to NiCoCr medium entropy alloys, making it superior than quinary variants, and conventional low and medium stacking fault energy steels.

Journal ArticleDOI
TL;DR: In this article, the tensile behavior of re-entrant hexagonal honeycombs in two principal directions is analyzed by considering the plastic, nonlinear behavior of cell walls based on idealized mechanisms.

Journal ArticleDOI
TL;DR: In this paper, the deformation-induced martensitic transformation during cycling at given plastic strain amplitudes is not observed, which is attributed to the planar nature of slip and partial reversibility of deformation.

Journal ArticleDOI
TL;DR: In this paper, the authors explore the combined effects of statistics, inclusion arrangement, and interface properties of staggered composites and find that the negative effects of random microstructures can be offset by interfaces with large strain at failure accompanied by strain hardening.
Abstract: Natural materials such as nacre, collagen, and spider silk are composed of staggered stiff and strong inclusions in a softer matrix. This type of hybrid microstructure results in remarkable combinations of stiffness, strength, and toughness and it now inspires novel classes of high-performance composites. However, the analytical and numerical approaches used to predict and optimize the mechanics of staggered composites often neglect statistical variations and inhomogeneities, which may have significant impacts on modulus, strength, and toughness. Here we present an analysis of localization using small representative volume elements (RVEs) and large scale statistical volume elements (SVEs) based on the discrete element method (DEM). DEM is an efficient numerical method which enabled the evaluation of more than 10,000 microstructures in this study, each including about 5,000 inclusions. The models explore the combined effects of statistics, inclusion arrangement, and interface properties. We find that statistical variations have a negative effect on all properties, in particular on the ductility and energy absorption because randomness precipitates the localization of deformations. However, the results also show that the negative effects of random microstructures can be offset by interfaces with large strain at failure accompanied by strain hardening. More specifically, this quantitative study reveals an optimal range of interface properties where the interfaces are the most effective at delaying localization. These findings show how carefully designed interfaces in bioinspired staggered composites can offset the negative effects of microstructural randomness, which is inherent to most current fabrication methods.

Journal ArticleDOI
TL;DR: In this article, the impact process of UHHA martensitic steel is investigated with a hybrid experimental-numerical approach, where a model composed of von Mises yield surface, non-associated anisotropic flow rule, combined Swift-Voce strain hardening law and a Johnson-Cook type of rate and temperature-dependency is used to predict the onset of fracture.