40 research outputs found
Substitutional Al solute interaction with edge and screw dislocation in Ni: a comparison between atomistic computation and continuum elastic theory
Molecular static simulations have been performed to study the interaction
between a single dislocation and a substitutional Al solute atom in a pure
crystal of Ni. When the Al solute is situated at intermediate distance from the
slip plane, we find that both edge and screw dislocations experiment a
non-negligible binding energy. We show that for such length scale the
description of the elasticity theory can be improved by taking into account the
spreading of dislocation cores via the Peierls-Nabarro model
Quantitative prediction of effective toughness at random heterogeneous interfaces
The propagation of an adhesive crack through an anisotropic heterogeneous
interface is considered. Tuning the local toughness distribution function and
spatial correlation is numerically shown to induce a transition between weak to
strong pinning conditions. While the macroscopic effective toughness is given
by the mean local toughness in case of weak pinning, a systematic toughness
enhancement is observed for strong pinning (the critical point of the depinning
transition). A self-consistent approximation is shown to account very
accurately for this evolution, without any free parameter
Cracks in random brittle solids: From fiber bundles to continuum mechanics
Statistical models are essential to get a better understanding of the role of
disorder in brittle disordered solids. Fiber bundle models play a special role
as a paradigm, with a very good balance of simplicity and non-trivial effects.
We introduce here a variant of the fiber bundle model where the load is
transferred among the fibers through a very compliant membrane. This Soft
Membrane fiber bundle mode reduces to the classical Local Load Sharing fiber
bundle model in 1D. Highlighting the continuum limit of the model allows to
compute an equivalent toughness for the fiber bundle and hence discuss
nucleation of a critical defect. The computation of the toughness allows for
drawing a simple connection with crack front propagation (depinning) models.Comment: The European Physical Journal Special Topics Special Topics, 201
From depinning transition to plastic yielding of amorphous media: A soft modes perspective
A mesoscopic model of amorphous plasticity is discussed in the context of
depinning models. After embedding in a d + 1 dimensional space, where the
accumulated plastic strain lives along the additional dimension, the gradual
plastic deformation of amorphous media can be regarded as the motion of an
elastic manifold in a disordered landscape. While the associated depinning
transition leads to scaling properties, the quadrupolar Eshelby interactions at
play in amorphous plasticity induce specific additional features like
shear-banding and weak ergodicity breakdown. The latters are shown to be
controlled by the existence of soft modes of the elastic interaction, the
consequence of which is discussed in the context of depinning
Dislocations pinning by substitutional impurities in an atomic-scale model for the Al(Mg) solid solutions
International audienceWe report our atomic-scale computations for the static depinning threshold of dislocations in the Al(Mg) solid solutions. The interaction between the dislocations and the isolated obstacles is studied for different types of obstacle, i.e., the single solute atoms situated at different positions and the solute dimers with different bond directions. A part of this work is used to apply different standard analytical theories for solid solution hardening, the predictions of which are finally compared with our direct atomic-scale simulations (AS) for the dislocation depinning in the random Al(Mg) solid solutions. According to our comparisons, the dislocation statistics in our AS is qualitatively well described by the Mott-Nabarro-Labusch theory. In agreement with earlier results about a different system, namely Ni(Al), the depinning thresholds are similar for the edge and for the screw dislocations
Atomic-scale avalanche along a dislocation in a random alloy
International audienceThe propagation of dislocations in random crystals is evidenced to be governed by atomic-scale avalanches whose the extension in space and the time intermittency characterizingly diverge at the critical threshold. Our work is the very first atomic-scale evidence that the paradigm of second order phase transitions applies to the depinning of elastic interfaces in random media
Modélisation du durcissement par solution solide des alliages métalliques cubiques à faces centrées
Nous modélisons le durcissement par solution solide, c'est-à-dire de la diminution de la mobilité des dislocations par l'ajout de soluté. Nous étudions cet aspect de la plasticité en traitant à l'échelle atomique (potentiels EAM) l'interaction entre dislocation et atomes de soluté en position substitutionnelle. Le développement d'un modèle de tension de ligne nous permet de reproduire quantitativement la contrainte d'écoulement calculée à partir des simulations atomistiques et de comparer simulations et expériences pour un système de taille micrométrique
Local yield stress statistics in model amorphous solids
We develop and extend a method presented in [S. Patinet, D. Vandembroucq, and
M. L. Falk, Phys. Rev. Lett., 117, 045501 (2016)] to compute the local yield
stresses at the atomic scale in model two-dimensional Lennard-Jones glasses
produced via differing quench protocols. This technique allows us to sample the
plastic rearrangements in a non-perturbative manner for different loading
directions on a well-controlled length scale. Plastic activity upon shearing
correlates strongly with the locations of low yield stresses in the quenched
states. This correlation is higher in more structurally relaxed systems. The
distribution of local yield stresses is also shown to strongly depend on the
quench protocol: the more relaxed the glass, the higher the local plastic
thresholds. Analysis of the magnitude of local plastic relaxations reveals that
stress drops follow exponential distributions, justifying the hypothesis of an
average characteristic amplitude often conjectured in mesoscopic or continuum
models. The amplitude of the local plastic rearrangements increases on average
with the yield stress, regardless of the system preparation. The local yield
stress varies with the shear orientation tested and strongly correlates with
the plastic rearrangement locations when the system is sheared correspondingly.
It is thus argued that plastic rearrangements are the consequence of shear
transformation zones encoded in the glass structure that possess weak slip
planes along different orientations. Finally, we justify the length scale
employed in this work and extract the yield threshold statistics as a function
of the size of the probing zones. This method makes it possible to derive
physically grounded models of plasticity for amorphous materials by directly
revealing the relevant details of the shear transformation zones that mediate
this process