Understanding the Effect of Plastic Deformation on Elastic Modulus of Metals Based on a Percolation Model with Electron Work Function

Li, Qingda; Hua, Guomin; Lu, Hao; Yu, Bin; Li, D. Y.

doi:10.1007/s11837-018-2891-3

Cited by 18 publications

(7 citation statements)

References 23 publications

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“…Stable states correspond to the maxima of the effective potential (11), unstable -to the minimum V (h g ). As is known according to the main theorem of algebra, equation (12) will always have at least one real root (that is, there will always be at least one solution, in this case, a stationary structure). The other two roots can be either real (depending on the sign of the determinant of the cubic equation -multiple or different), or a pair of complex-conjugate solutions.…”

Section: Resultsmentioning

confidence: 99%

“…Since various stresses σ ij and the elastic deformations associated with them e e ij lead to the formation of regions with corresponding grain boundaries densities h g , arises the question of studying the regularities that would allow unambiguously establishing a connection between elastic deformations and the formation of Submicrocrystalline or nanocrystalline structures. We study the loss of stability of stationary states h m g (solutions of equation ( 12)) corresponding to the extremes of the effective potential V (h g ), and determine the critical values of I 2 , allowing the transition between the stationary states of equation (12). Thus, we find the areas of formation of various limit structures depending on the values of the first and second invariants e e ii ; I 2 .…”

Section: Resultsmentioning

confidence: 99%

“…In this regard, the development of theoretical methods for describing structural transformations in integrated project delivery processing is gaining significant importance. The considered basic theoretical approaches make it possible to reveal certain aspects of the various manifestations of regularities in the processes of deformation and destruction of solids, and generally allow forming a more complete and objective idea of the subject under study [12].…”

Section: Introductionmentioning

confidence: 99%

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The influence of chemical and technological parameters of materials in the design of objects in industrial design on the example of state facilities

Zijing

2024

Materialwissenschaft Werkst

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The purpose of this study is to generalise the thermodynamic model describing the fragmentation of metals or alloys at integrated project delivery, and to study the features and conditions for the formation of limit (stationary) structures of various types. Thus, a Project Delivery is constructed in the two‐defect model approximation with dislocation density and grain boundaries taken into account, which establishes the conditions for the formation of limit (stationary) structures of different types. In addition, the article studies in detail the evolution of the main structural defects and their interaction during the implementation of the stationary regime, and also establishes the dependence of the type of limit structure formed on the values of landslide deformation and the initial state of the material. It is found that the change of states of the system is of solid‐state phase transformation nature. It follows from the methods of description that the limit (stationary) structure is not immutable, but represents a dynamic equilibrium of the processes of generation and annihilation of structural defects.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The influence of chemical and technological parameters of materials in the design of objects in industrial design on the example of state facilities

Zijing

2024

Materialwissenschaft Werkst

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“…As E decreases almost linearly with decreasing density (for details see (Rogl and Rogl, 2011)) and all HPT samples have a lower density than the HP ones, lower E values are expected, which indeed is the case for almost all HPT samples (see the values gained with the micro indenter). In this context it is interesting to note that Li et al (2018) demonstrated that plastic deformation decreased the elastic moduli for brass, aluminum, and low carbon steel by 10-20%.…”

Section: Indentation Fracture Toughnessmentioning

confidence: 99%

How Severe Plastic Deformation Changes the Mechanical Properties of Thermoelectric Skutterudites and Half Heusler Alloys

Rogl

2020

Front. Mater.

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Thermoelectric leg materials with a high figure of merit, ZT, are the essential basis to build thermoelectric generators, directly converting waste heat into electricity. Skutterudites and half-Heusler alloys are promising candidates because they can be used in a wide temperature range, the starting material is available and cheap and in addition they are environmentally friendly. Severe plastic deformation via high-pressure torsion (HPT) is a technique to achieve very fine grains in micro- or even nano size with small and high angle grain boundaries and in parallel introduces a high level of defects like vacancies and dislocations. Therefore, this method was applied not only to enhance ZT of ball-milled and hot-pressed skutterudites and half-Heusler alloys but so far was also successful to directly produce dense nanostructured bulks from skutterudite powders. Although HPT compacted samples are chemically homogeneous, they are not homogeneous with respect to the shear strain increasing from the center to the rim. HPT changes the microstructure and density and thereby not only influences the thermoelectric but also the mechanical properties. In this work an overview is given of the influence of HPT on hardness, elastic moduli, indentation fracture toughness, thermal expansion and thermal shock resistance. The corresponding properties of hot-pressed skutterudites and half-Heusler alloys are compared with those after severe plastic deformation, dependent on the processing properties and position of the specimen in respect to shear strain. Data are collected from earlier investigations of the authors and from the literature, but also newly achieved and evaluated data are included.

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“…Yang et al [2] reported that the springback simulation could have better agreement with experimental results for IOP Publishing doi:10.1088/1757-899X/1270/1/012042 2 both high strength steels [5] and aluminum alloys [6] if the elastic modulus was a variable. Yoshida [6] proposed a formula to describe the relationship between the elastic modulus and the plastic strain, which has been widely used by later researchers [7,8,9] .Li et al [10] reported that the elastic modulus degradation of brass, aluminum and low-carbon steel could range from 10%~20%. Liu et al [11] reported that the decrease of elastic modulus of DP980 steel could reach 25% at 10% plastic strain.…”

Section: Introductionmentioning

confidence: 99%

Effect of loading-path on the elastic modulus degradation of high strength steels

Chu

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Experiments of repetitive uniaxial tension are performed for DP590, TRIP590, TRIP780, and BH220 steels. Variation of chord modulus of the four materials with accumulated plastic strain is discussed. Large specimens of uniaxial tension, wide plate tension and cruciform tension are prestrained in different plastic strain. Uniaxial tension of sub-size samples which are machined from the prestrained large specimens is performed. Dependence of the normalized chord modulus of the four metals on strain path is discussed in detail. The results show that elastic modulus degradation is dependent on the material strength, accumulated plastic strain and strain path. At the same equivalent strain, the chord modulus degradation of TRIP780, TRIP590, DP590, BH220 steels decreases in turn. The chord modulus of TRIP780 steel at 0.24 equivalent strain reaches 20.5%. The chord modulus of DP590 steel is more sensitive to strain path change than the other three metals. The path of biaxial stretching combined with uniaxial tension provides the greatest chord modulus degradation among the six loading paths. Each material should have the most suitable loading path under which the elastic modulus variation can be minimized so springback can be easily controlled.

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Understanding the Effect of Plastic Deformation on Elastic Modulus of Metals Based on a Percolation Model with Electron Work Function

Cited by 18 publications

References 23 publications

The influence of chemical and technological parameters of materials in the design of objects in industrial design on the example of state facilities

The influence of chemical and technological parameters of materials in the design of objects in industrial design on the example of state facilities

How Severe Plastic Deformation Changes the Mechanical Properties of Thermoelectric Skutterudites and Half Heusler Alloys

Effect of loading-path on the elastic modulus degradation of high strength steels

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