Relationship between strength and uniform elongation of metals based on an exponential hardening law

Zhang, Zhenjun; Qu, Zhencai; Xu, Ling; Li, Rui; Zhang, Peng; Zhang, Zhefeng; Langdon, Terence G.

doi:10.1016/j.actamat.2022.117866

Cited by 30 publications

(5 citation statements)

References 101 publications

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“…Furthermore, for the linear hardening process of a single crystal, the constant

\left(\Theta\right)_{}

is the initial hardening rate, which is related to the material composition. [ 30,31 ] Zhang et al proposed that the value of

\left(\Theta\right)_{}

can be acquired based on the following: [ 13 ]

\left(\Theta\right)_{} = n \left(\sigma\right)_{\text{&amp;#x00026;amp;amp;rho;s}}

…”

Section: Resultsmentioning

confidence: 99%

“…The work‐hardening process can be well described by the ESH model: [ 12,13 ]

\sigma = \left(\sigma\right)_{\text{s}} - \left(\sigma\right)_{\text{r}} e^{- n \epsilon}

where σ is the true stress, ε is the true strain, σ s is the saturation strength, indicating a limiting flow stress when ε approaches infinite, σ r is the residual strength from the yield strength to the saturation strength, representing the strain‐hardening capacity, and n is the strain‐hardening exponent, which is closely related to the annihilation distance of dislocations ( Figure ).…”

Section: Resultsmentioning

confidence: 99%

“…Furthermore, for the linear hardening process of a single crystal, the constant Θ Π is the initial hardening rate, which is related to the material composition. [30,31] Zhang et al proposed that the value of Θ Π can be acquired based on the following: [13] Θ Π ¼ nσ ρs (11) Based on Figure 6, the σ ρs values of Al-Cu alloy and Al-Cu-Zr-Sc alloy were fitted to be 458.3 and 469.7 MPa. Therefore, the Θ Π values for Al-Cu alloy and Al-Cu-Zr-Sc alloy were calculated to be 2924 and 2865 MPa (Table 2).…”

Section: Simultaneous Increment In Strength and Plasticity Mechanismsmentioning

confidence: 99%

“…Recently, Zhang et al [ 12,13 ] proposed the exponential strain‐hardening (ESH) model, in which parameter n reflects the influence of composition and microstructure type on the work‐hardening ability of metallic materials. In general, the smaller value of n corresponds to the stronger work‐hardening ability.…”

Section: Introductionmentioning

confidence: 99%

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Simultaneously Improving Strength and Plasticity of Al–Cu Alloy by Introducing Spherical Precipitates

Wang,

Hou,

Gong

et al. 2023

Adv Eng Mater

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The trade‐off relation between strength and plasticity is the bottleneck that limits the development of high‐strength and high‐plasticity Al–Cu alloys. Inspired from the influence of precipitate shape on the work‐hardening behavior of Al–Cu alloys, an Al–Cu–Zr–Sc alloy containing a mixed microstructure of spherical‐shaped Al3(Zr, Sc) phases and disk‐shaped θ′ phases is successfully designed and fabricated. Surprisingly, it is found that the strength and plasticity of the Al–Cu–Zr–Sc alloy are synchronously improved compared to the Al–Cu alloy with only disk‐shaped θ′ phases. The introduction of spherical‐shaped Al3(Zr, Sc) phases can increase the yield strength without sacrificing the work‐hardening ability of the Al–Cu–Zr–Sc alloy, which is mainly attributed to the extremely small strain‐hardening exponent of the Al alloy with spherical‐shaped precipitates. Besides, the predicted strength–elongation relation of the Al–Cu alloy is established based on the exponential strain‐hardening model.

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“…Furthermore, for the linear hardening process of a single crystal, the constant

\left(\Theta\right)_{}

is the initial hardening rate, which is related to the material composition. [ 30,31 ] Zhang et al proposed that the value of

\left(\Theta\right)_{}

can be acquired based on the following: [ 13 ]

\left(\Theta\right)_{} = n \left(\sigma\right)_{\text{&amp;#x00026;amp;amp;rho;s}}

…”

Section: Resultsmentioning

confidence: 99%

“…The work‐hardening process can be well described by the ESH model: [ 12,13 ]

\sigma = \left(\sigma\right)_{\text{s}} - \left(\sigma\right)_{\text{r}} e^{- n \epsilon}

Section: Resultsmentioning

confidence: 99%

Section: Simultaneous Increment In Strength and Plasticity Mechanismsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simultaneously Improving Strength and Plasticity of Al–Cu Alloy by Introducing Spherical Precipitates

Wang,

Hou,

Gong

et al. 2023

Adv Eng Mater

Self Cite

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show abstract

“…Moreover, more microvoids were developed in the matrix when the fibers were penetrated deeper, decreasing both the tensile strength and elongation at break [58,59]. Remarkably, PD-15 simultaneously exhibited the highest tensile strength and elongation, contrary to the typical pattern of the inverse relationship between tensile strength and elongation [60]. However, the PCL nanofibers in the PVA matrix, as enhancers of the mechanical properties, can easily slip when the composite film is stretched because of the poor interaction between PVA and PCL nanofibers [61].…”

Section: Mechanical Propertiesmentioning

confidence: 95%

New Surface Modification of Hydrophilic Polyvinyl Alcohol via Predrying and Electrospinning of Hydrophobic Polycaprolactone Nanofibers

Ahn,

Park,

Sadeghi

et al. 2024

Foods

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Despite the excellent oxygen barrier and biodegradability of polyvinyl alcohol (PVA), its poor physical properties owing to its inherent hydrophilicity limit its application. In this paper, we report a novel surface modification technique for PVA films, involving the control of the predrying conditions (i.e., amount of residual solvent) of the coated PVA film and adjusting the electrospinning process of hydrophobic polycaprolactone (PCL) nanofibers onto the PVA films. The residual solvent of the coated PVA film was varied by changing the predrying time. A shorter predrying time increased the residual solvent content significantly (p < 0.05) and the flexibility of the coated PVA film. Moreover, scanning electron microscopy depicted the improved physical binding of hydrophobic PCL nanofibers to the hydrophilic PVA surface with increased penetration depth to the PVA film with shorter drying times. The PVA/PCL composite films with different predrying times and electrospun PCL nanofibers exhibited an apparent increase in the contact angle from 8.3° to 95.1°. The tensile strength of the pure PVA film increased significantly (p < 0.05) from 7.5 MPa to 77.4 MPa and its oxygen permeability decreased from 5.5 to 1.9 cc/m2·day. Therefore, our newly developed technique is cost-effective for modifying the surface and physical properties of hydrophilic polymers, broadening their industrial applications.

show abstract

A general physics-based hardening law for single phase metals

Zhang

et al. 2022

Acta Materialia

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Relationship between strength and uniform elongation of metals based on an exponential hardening law

Cited by 30 publications

References 101 publications

Simultaneously Improving Strength and Plasticity of Al–Cu Alloy by Introducing Spherical Precipitates

Simultaneously Improving Strength and Plasticity of Al–Cu Alloy by Introducing Spherical Precipitates

New Surface Modification of Hydrophilic Polyvinyl Alcohol via Predrying and Electrospinning of Hydrophobic Polycaprolactone Nanofibers

A general physics-based hardening law for single phase metals

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