Dislocation Microstructures and Plastic Flow: A 3D Simulation

Kubin, L.P.; Canova, G.R.; Condat, M.; Devincre, Benoît; Pontikis, V.; Bréchet, Y.

doi:10.4028/www.scientific.net/ssp.23-24.455

Cited by 452 publications

(275 citation statements)

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“…Short range interactions enter through a set of constitutive rules of the type suggested by Kubin et al [29]. Constitutive rules are specified for: (i) dislocation glide; (ii) annihil-ation; (iii) nucleation; (iv) obstacle pinning.…”

Section: Discrete Dislocation Formulationmentioning

confidence: 99%

Scaling of discrete dislocation predictions for near-threshold fatigue crack growth

2003

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Analyses of the growth of a plane strain crack subject to remote mode I cyclic loading under small scale yielding are carried out using discrete dislocation dynamics. Plastic deformation is modelled through the motion of edge dislocations in an elastic solid with the lattice resistance to dislocation motion, dislocation nucleation, dislocation interaction with obstacles and dislocation annihilation being incorporated through a set of constitutive rules. An irreversible relation is specified between the opening traction and the displacement jump across a cohesive surface ahead of the initial crack tip in order to simulate cyclic loading in an oxidizing environment. Calculations are carried out with different material parameters so that values of yield strength, cohesive strength and elastic moduli varying by factors of three to four are considered. The fatigue crack growth predictions are found to be insensitive to the yield strength of the material despite the number of dislocations and the plastic zone size varying by approximately an order of magnitude. The fatigue threshold scales with the fracture toughness of the purely elastic solid, with the experimentally observed linear scaling with Young's modulus an outcome when the cohesive strength scales with Young's modulus.

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Section: Discrete Dislocation Formulationmentioning

confidence: 99%

Scaling of discrete dislocation predictions for near-threshold fatigue crack growth

2003

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“…This makes it possible to treat dense configurations in material volumes with dimensions larger than those of a typical dislocation cell. The basic principles of these three-dimensional (3-D) simulations can be found in several references [6][7][8][9] and will not be detailed here.…”

Section: Dislocation Dynamics Simulationsmentioning

confidence: 99%

“…It depends on the local effective stresses on the slip and cross-slip planes and on the SFE of the material through the value of s III . The way this local rule is numerically implemented is the same in all versions of the DD simulations [6,9,15].…”

Section: Dislocation Dynamics Simulationsmentioning

confidence: 99%

Simulation of dislocation patterns in multislip

2002

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“…This implies that for an FCC metal 12 edge SSD densities are taken into account, next to 12 edge and 6 screw GND densities [50]. A complete overview of the dislocation densities, including their type and slip system is given in Table 1.…”

Section: Strain Gradient Crystal Plasticitymentioning

confidence: 99%