An accurate and stable algorithm for high strain-rate finite strain plasticity

Zikry, Mohammed

doi:10.1016/0045-7949(94)90004-3

Cited by 111 publications

(42 citation statements)

References 19 publications

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“…The dislocation-density based crystal plasticity constitutive framework used in this study is based on the formulation developed by Zikry [24], Ashmawi and Zikry [25], and Shanthraj and Zikry [26], and a brief outline will be presented here. It is assumed that the velocity gradient is decomposed into a symmetric deformation rate tensor D ij and an anti-symmetric spin tensor W ij .…”

Section: Multiple-slip Dislocation-density Based Crystal Plasticity Fmentioning

confidence: 99%

Interfacial effects on fracture nucleation and propagation in crystalline–amorphous energetic material systems

LaBarbera

Zikry

2015

Computational Materials Science

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Section: Multiple-slip Dislocation-density Based Crystal Plasticity Fmentioning

confidence: 99%

Interfacial effects on fracture nucleation and propagation in crystalline–amorphous energetic material systems

LaBarbera

Zikry

2015

Computational Materials Science

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“…The method used here is the one developed by Zikry [32] for rate-dependent crystalline plasticity formulations, and only a brief outline will be presented here. An implicit finite-element method is used to obtain the total deformation rate tensor, D ij .…”

Section: Computational Techniquesmentioning

confidence: 99%

Shear pipe effects and dynamic shear-strain localization in martensitic steels

Hatem

Zikry

2009

Acta Materialia

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“…The shear stress τ (α) is determined from a numerical integration [see Zikry (1994)] of its material rate, given as:…”

Section: Rate-dependent Crystalline Plasticitymentioning

confidence: 99%

Dynamic crack nucleation and propagation in polycrystalline aluminum aggregates subjected to large inelastic deformations

Elkhodary

Zikry

2012

Int J Fract

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The major objective of this work has been to apply a new compatibility-based fracture theory to the investigation of dynamic failure of polycrystalline metals and alloys. To model the nucleation and propagation of failure surfaces at the microstructural scale, under large deformations and dynamic loading conditions, a general fracture criterion based on the integral law of compatibility is used. This new fracture criterion, was coupled with rate-dependent dislocationdensity based crystalline plasticity formulations to elucidate the microstructural mechanisms related to the evolution of intergranular and transgranular failure and to understand how grain sizes and strain-rate sensitivity affect aggregate strength, ductility, and dynamic damage tolerance. It is shown that cracks commonly nucleate at triple junctions and at grain boundaries as intergranular cracks, and that slip bands through grains result in transgranular cracks.

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An accurate and stable algorithm for high strain-rate finite strain plasticity

Cited by 111 publications

References 19 publications

Interfacial effects on fracture nucleation and propagation in crystalline–amorphous energetic material systems

Interfacial effects on fracture nucleation and propagation in crystalline–amorphous energetic material systems

Shear pipe effects and dynamic shear-strain localization in martensitic steels

Dynamic crack nucleation and propagation in polycrystalline aluminum aggregates subjected to large inelastic deformations

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