Particle size effect in metallic materials: a study by the theory of mechanism-based strain gradient plasticity

Xue, Zhenyu; Huang, Y.; Li, M.

doi:10.1016/s1359-6454(01)00325-1

Cited by 154 publications

(80 citation statements)

References 56 publications

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“…One strain gradient theory, namely mechanism-based strain gradient (MSG) plasticity (Gao et al, 1999b;Huang et al, 1999Huang et al, , 2000a, is established from a multiscale, hierarchical framework to connect with the Taylor model in dislocation mechanics (Taylor, 1934(Taylor, , 1938. It agrees well with McElhaney et alÕs (1998)Õs micro-indentation experiments of bulk copper (see Huang et al, 2000b) and Saha et alÕs (2001) indentation experiments of aluminum thin film on a glass substrate, with Fleck et alÕs (1994) micro-torsion and Stolken and EvansÕ (1998) micro-bend experiments (see Gao et al, 1999a), and with LloydÕs (1994) metal-matrix composite (see Xue et al, 2002a). It has also been successfully applied to study a few important problems at the micron and submicron scales, including microelectro-mechanical systems (Xue et al, 2002b), plastic flow localization (Hao et al, 2000;Shi et al, 2000b), and fracture (Shi et al, 2000a;Jiang et al, 2001).…”

Section: Introductionsupporting

confidence: 77%

The flow theory of mechanism-based strain gradient plasticity

Qiu

Huang

Wei

et al. 2003

Mechanics of Materials

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The flow theory of mechanism-based strain gradient (MSG) plasticity is established in this paper following the same multiscale, hierarchical framework for the deformation theory of MSG plasticity in order to connect with the Taylor model in dislocation mechanics. We have used the flow theory of MSG plasticity to study micro-indentation hardness experiments. The difference between deformation and flow theories is vanishingly small, and both agree well with experimental hardness data. We have also used the flow theory of MSG plasticity to investigate stress fields around a stationary mode-I crack tip as well as around a steady state, quasi-statically growing crack tip. At a distance to crack tip much larger than dislocation spacings such that continuum plasticity still applies, the stress level around a stationary crack tip in MSG plasticity is significantly higher than that in classical plasticity. The same conclusion is also established for a steady state, quasi-statically growing crack tip, though only the flow theory can be used because of unloading during crack propagation. This significant stress increase due to strain gradient effect provides a means to explain the experimentally observed cleavage fracture in ductile materials

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Section: Introductionsupporting

confidence: 77%

The flow theory of mechanism-based strain gradient plasticity

Qiu

Huang

Wei

et al. 2003

Mechanics of Materials

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“…linear and non-Hnear, should be undertaken. This would clearly indicate if a so-called size effect exists in fiber reinforced polymer matrix composites as has been indicated by researchers in metal-matrix composites (see Xue et al (2002)). Also, thermal effects imparted on account of residual stresses can play an important role in the c^e of FRPC due to the large mismatch in the thermal coefficient.…”

Section: Suggestions For Future Workmentioning

confidence: 61%

Compressive Failure of Fiber Reinforced Composites

Waas¹

2003

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“…For MMCs, plastic deformation in the metal matrix is confined by the inclusions. Strong size effects due to plastic strain gradients in the metal matrix may be present [49][50][51]. Here we focus on the effect of inclusion aspect ratio and temporarily neglect the strain gradient effect.…”

Section: Work Hardening Rate Of Biomorphous MMCmentioning

confidence: 99%

Flow stress of biomorphous metal–matrix composites

JI¹,

GAO²,

WANG³

2004

Materials Science and Engineering A

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For metal-matrix composites (MMCs), interfacial debonding between the ductile matrix and the reinforcing hard inclusions is an important failure mode. A fundamental approach to improving the properties of MMCs is to optimize their microstructure to achieve maximum strength and toughness. Here, we investigate the flow stress of a MMC with a nanoscale microstructure similar to that of bone. Such a 'biomorphous' MMC would be made of staggered hard and slender nanoparticles embedded in a ductile matrix. We show that the large aspect ratio and the nanometer size of inclusions in the biomorphous MMC lead to significantly improved properties with increased tolerance of interfacial damage. In this case, the partially debonded inclusions continue to carry mechanical load transferred via longitudinal shearing of the matrix material between neighboring inclusions. The larger the inclusion aspect ratio, the larger is the flow stress and work hardening rate for the composite. Increasing the volume concentration of inclusion also makes the biomorphous MMC more tolerant of interfacial damage.

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Particle size effect in metallic materials: a study by the theory of mechanism-based strain gradient plasticity

Cited by 154 publications

References 56 publications

The flow theory of mechanism-based strain gradient plasticity

The flow theory of mechanism-based strain gradient plasticity

Compressive Failure of Fiber Reinforced Composites

Flow stress of biomorphous metal–matrix composites

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