Elsevier

Scripta Materialia

Volume 59, Issue 11, December 2008, Pages 1182-1185
Scripta Materialia

Size effect on the tensile strength of fine-grained copper

https://doi.org/10.1016/j.scriptamat.2008.08.004Get rights and content

We considered the effect of the thickness of copper sheet on its tensile strength. A model in which the strength of surface grains is governed by dislocation image forces, while that of interior grains is determined by dislocation cell structure, was proposed. Using a rule of mixtures, the dependence of strength on the specimen thickness was calculated. A master curve representing the calculated dependence of normalized strength on the ratio of sheet thickness to grain size was confirmed by experiment.

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    Citation Excerpt :

    Thus, the possible strengthening mechanism can be composed of the grain boundary strengthening (ΔσGB) and work-hardening strengthening due to the existence of high dislocation density (Δσρ) as follows: σ=σ0+ΔσGB+Δσρ, where the σ0 of 25 MPa is the intrinsic strength of the pure Cu material. According to related literature, the strengthening through the work hardening effect can be expressed as Δσρ=MαGb√ρ, where M is the Taylor factor (3.06 for Cu [47]), α is the strength coefficient of the dislocation network (0.2 for Cu [48]), b is the Burgers Vectors (0.245 nm for Cu), G is the shear modulus (45 GPa) [49], and ρ is the dislocation density. Based on the XRD analysis, the dislocation density is 1.58 × 1014 m−2.

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