Mechanical Responses of Copper Bicrystalline Micro Pillars with &amp;Sigma;3 Coherent Twin Boundaries by Uniaxial Compression Tests

Hirouchi, Tomoyuki; Shibutani, Yoji

doi:10.2320/matertrans.ma201312

Cited by 16 publications

(11 citation statements)

References 25 publications

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“…Many recent studies, both experimental and theoretical, have investigated the mechanical behaviors of singlecrystalline micropillars (SCMPs) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and bicrystalline micropillars (BCMPs) [17][18][19][20][21]. These studies were mainly focused on size effects on the stress-strain response.…”

Section: Introductionmentioning

confidence: 99%

Incompatibility stresses at grain boundaries in Ni bicrystalline micropillars analyzed by an anisotropic model and slip activity

et al. 2015

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Incompatibility stresses can develop in bicrystals due to material elastic and plastic anisotropies owing to different crystal orientations separated by grain boundaries. Here, these stresses are investigated by combining experimental and theoretical studies on 10 lm diameter Ni bicrystalline micropillars. Throughout stepwise compression tests, slip traces are analyzed by scanning electron microscopy to identify the active slip planes and directions in both crystals. An analytical model is presented accounting for the effects of heterogeneous elasticity coupled to heterogeneous plasticity on the internal mechanical fields. This model provides explicit expressions of stresses in both crystals considering experimentally observed nonequal crystal volume fractions and inclined grain boundaries. It is used to predict the resolved shear stresses on the possible slip systems in each crystal. The predictions of the onset of plasticity as given by the present model in pure elasticity are compared with those given by the classical Schmid's law. In contrast with Schmid's law, the predictions of the analytical model are in full agreement with the experimental observations regarding the most highly stressed crystal and active slip systems. The effects of plastic incompatibilities are also considered in addition to the elastic ones throughout the model. The analysis shows that elastic/plastic coupling incompatibilities together with different crystal volume fractions have significant effects on the slip system activation process.

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Section: Introductionmentioning

confidence: 99%

Incompatibility stresses at grain boundaries in Ni bicrystalline micropillars analyzed by an anisotropic model and slip activity

et al. 2015

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“…Finally, it is worth also mentioning two recent works about the compression of copper bicrystalline micropillars with 3 1 1 1 twin boundaries [36,46]. In both works, twin boundaries were parallel to the loading axis.…”

Section: Discussionmentioning

confidence: 98%

Analytical expressions of incompatibility stresses at Σ3⟨111⟩ twin boundaries and consequences on single-slip promotion parallel to twin plane

Richeton

Tiba

Berbenni

et al. 2014

Philosophical Magazine

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Strong incompatibility stresses may develop at grain or twin boundaries because of elastic and plastic anisotropies. Their knowledge at 3 1 1 1 twin boundaries may be of interest for a better understanding of the mechanical behaviour of fcc materials that can display lamellar twin structures, such as twinning-induced plasticity (TWIP) steels or general nanotwinned materials. In this paper, incompatibility stresses arising at general twin boundaries are explicitly derived for a given twin volume fraction. They are deduced from the solutions of the general infinite bicrystal, which is equivalent to a periodic layered structure. In the case of pure elasticity and 3 1 1 1 twin boundaries, the result is of remarkable simplicity. The incompatibility stress field reduces to a shear stress acting upon a plane orthogonal to twin plane. Simple analytical expressions of the resolved shear stresses are also determined according to the twin-boundary orientation, the twin volume fraction and the elastic anisotropy factor. Such expressions allow performing a comprehensive study of slip initiation. In particular, there exists a large physical domain, depending on the three above parameters, where simultaneous slip parallel to twin plane in the parent and in the twin is greatly promoted. There is also a restricted domain where simultaneous single slip parallel to twin plane is promoted. The conditions for these promotions are realistic considering the literature data on TWIP steels. The present results, hence, support the high ductility and strong contribution of kinematic hardening observed in TWIP steels and agree with composite hardening models with single-and multislip-deforming grains.

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“…A treatise on the structure and properties of nano-scale metals has been edited by Faester, Hansen, Huang, Juul Jensen and Ralph [20]. Relating to Figure 3, Hirouchi and Shibutani have reported on slip transmission across special Σ3 crystal grain boundaries in very small copper micro-pillars [21].…”

Section: Crystal Polycrystal Nanopolycrystal Deformationsmentioning

confidence: 99%

Crystal Dislocations

Armstrong

2016

Crystals

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Crystal dislocations were invisible until the mid-20th century although their presence had been inferred; the atomic and molecular scale dimensions had prevented earlier discovery. Now they are normally known to be just about everywhere, for example, in the softest molecularly-bonded crystals as well as within the hardest covalently-bonded diamonds. The advent of advanced techniques of atomic-scale probing has facilitated modern observations of dislocations in every crystal structure-type, particularly by X-ray diffraction topography and transmission electron microscopy. The present Special Issue provides a flavor of their ubiquitous presences, their characterizations and, especially, their influence on mechanical and electrical properties.

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Mechanical Responses of Copper Bicrystalline Micro Pillars with Σ3 Coherent Twin Boundaries by Uniaxial Compression Tests

Cited by 16 publications

References 25 publications

Incompatibility stresses at grain boundaries in Ni bicrystalline micropillars analyzed by an anisotropic model and slip activity

Incompatibility stresses at grain boundaries in Ni bicrystalline micropillars analyzed by an anisotropic model and slip activity

Analytical expressions of incompatibility stresses at Σ3⟨111⟩ twin boundaries and consequences on single-slip promotion parallel to twin plane

Crystal Dislocations

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