Finite element method analysis of micro-macro transition in polycrystalline plasticity

Havlicek, F.; Tokuda, Masataka; Hino, S.; Kratochvı́l, Jan

doi:10.1016/0749-6419(92)90060-p

Cited by 15 publications

(3 citation statements)

References 14 publications

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“…[7,[71][72][73]76] Another phenomenological approach consists of evaluating X inter using a "self-consistent scheme." [74,75] However, these theoretical approaches do not consider the grain-boundary structure and the different micromechanisms associated with the stress-strain behavior of the grain boundary and its vicinity. In this opinion, the MA model remains a good compromise between the mechanical approach and microscopic description of intergranular internal stress.…”

Section: B Inter-and Intragranular Backstressesmentioning

confidence: 99%

Grain-size effects on tensile behavior of nickel and AISI 316L stainless steel

Feaugas

Haddou

2003

Metall Mater Trans A

130

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The aim of this work is to provide experimental results to understand the grain-size effects on tensile hardening of fcc polycrystalline materials. The contribution of grain size on hardening rate is discussed in terms of backstress (X) and effective-stress (⌺ ef ) evolutions in the different hardening stages. Based on this stress partition, the origin of the classical Hall-Petch relationship is clarified at the different levels of microstructural heterogeneities. If the backstresses and effective stresses verified the Hall-Petch formulation, however, the effective stress is less dependent on grain size than the backstress. The grain-size effect on short-range internal stresses (effective stress) is well explained in terms of a mean path length using classical dislocation modeling. The backstress dependence on grain size seems to be mainly the result of intergranular plastic-strain incompatibilities in relation with the formation of a grain-boundary layer in stage I. In others stages (higher plastic strain), the interactions between intergranular and intragranular long-range internal stresses have been illustrated. The degree of these interactions remains unclear.

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Section: B Inter-and Intragranular Backstressesmentioning

confidence: 99%

Grain-size effects on tensile behavior of nickel and AISI 316L stainless steel

Feaugas

Haddou

2003

Metall Mater Trans A

130

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“…4.4.1 -Geometrically necessary dislocations and Hall-Petch relationship. Many recent numerical works tried to deal with inter-granular stress fluctuations in terms of statistical point of view, which depend on boundary conditions and constitutive equations used to describe grain behaviour [9,10,12,14,[124][125][126]. Moreover, one has acknowledged the importance of geometrical dislocation density close to grain boundary on the evolution of inter-granular long-range internal stresses in relation to lattice curvature [9,11,127].…”

Section: Internal Stressesmentioning

confidence: 99%

Effects of grain size on dislocation organization and internal stresses developed under tensile loading in fcc metals

Feaugas

Haddou

2007

Philosophical Magazine

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“…Among the different multiscale approaches that exist for the determination of the plasticity of heterogeneous materials, Finite Elements (FE) analysis has provided new insights since the 1990s (see for example Becker, 1991;Kalidindi et al, 1992, Havlicek et al, 1992Beaudoin et al, 1993). This approach applies crystalline plasticity constitutive laws at the scale of the crystals constituting the polycrystalline volume of study.…”

Section: Modelling Polycrystal Plasticity By Finite Elementsmentioning

confidence: 99%