Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries

Zikry, Mohammed; Kao, Ming-Cheng

doi:10.1016/0022-5096(96)00049-x

Cited by 138 publications

(50 citation statements)

References 44 publications

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“…The square-root dependence of flow stress on dislocation density is a typical assumption in the plasticity and materials science literature (Taylor, 1934;Kuhlmann-Wilsdorf, 1985;Zikry and Kao, 1996), as is the assertion of linear dependence of stored lattice energy on dislocation density (Bammann, 2001;Svendsen, 2002) implied jointly by Eqs. (20) and (25).…”

Section: Thermodynamic Frameworkmentioning

confidence: 99%

Modeling dynamic plasticity and spall fracture in high density polycrystalline alloys

Clayton

2005

International Journal of Solids and Structures

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Section: Thermodynamic Frameworkmentioning

confidence: 99%

Modeling dynamic plasticity and spall fracture in high density polycrystalline alloys

Clayton

2005

International Journal of Solids and Structures

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“…A detailed deformation analysis around triple junctions of a polycrystal with coincidence site lattice is reported by Zikry (1) and Kameda and Zikry (2) . Teodosiu (3) proposes a hardening law expressing a dynamic recovery due to annihilation of dislocation dipoles.…”

Section: Introductionmentioning

confidence: 94%

A Dislocation-Crystal Plasticity Simulation on FCC Single Crystal Considering Geometrically Necessary Dislocation Density and Incompatibility

Aoyagi

Shizawa

2008

JCST

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In the previous paper, the geometrically necessary (GN) incompatibility is newly defined and a new annihilation term of dislocation pairs due to the dynamic recovery is introduced into an expression of dislocation density. Furthermore, a multiscale model of crystal plasticity is proposed by considering the GN dislocation density and incompatibility. However, details of dislocation-crystal plasticity calculation are not given. In this paper, we explain a method of dislocation-crystal plasticity analysis. A finite element simulation is carried out for an f.c.c. single crystal under plane strain tension. It is numerically predicted that micro shear bands are formed at large strain, and sub-GNBs: small angle tilt boundaries are induced along these bands. Furthermore, the annihilation of dislocation pairs and the increase of dislocation mean free path characterizing stage III of work-hardening are computationally predicted.

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“…The previously described criteria allow for the evaluation of slip transmission prediction by dislocation based crystal plasticity models [108]. They can also be explicitly incorporated in continuum models to account for the transmission mechanisms.…”

Section: Crystal Plasticity Models Taking Into Account Geometrical Slmentioning

confidence: 99%

Review on slip transmission criteria in experiments and crystal plasticity models

et al. 2015

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A comprehensive overview is given of the literature on slip transmission criteria for grain boundaries in metals, with a focus on slip system and grain boundary orientation. Much of this extensive literature has been informed by experimental investigations. The use of geometric criteria in continuum crystal plasticity models is discussed. The theoretical framework of Gurtin (2008, J. Mech. Phys. Solids 56, p. 640) is reviewed for the single slip case. This highlights the connections to slip transmission criteria from the literature that are not discussed in the work itself. Different geometric criteria are compared for the single slip case with regard to their prediction of slip transmission. Perspectives on additional criteria, investigated in experiments and used in computational simulations, are given.

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Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries

Cited by 138 publications

References 44 publications

Modeling dynamic plasticity and spall fracture in high density polycrystalline alloys

Modeling dynamic plasticity and spall fracture in high density polycrystalline alloys

A Dislocation-Crystal Plasticity Simulation on FCC Single Crystal Considering Geometrically Necessary Dislocation Density and Incompatibility

Review on slip transmission criteria in experiments and crystal plasticity models

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