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Dislocation Dynamics modeling of the interaction of dislocations with Eshelby inclusions [Book Chapter]

Book ·
 [1];  [2];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. Paris XIII Nord (France)
Materials properties are strongly influenced by their microstructures at the mesoscale. Although dislocations-line defects present in crystalline materials, are key to control materials' strain hardening during plastic deformation, the presence of defects other than dislocations, such as second phase precipitates and inclusions, can dramatically influence the strength of the materials. The plastic response of metals in the presence of helium (He) bubbles is a complex interplay between dislocations and He bubbles. This chapter discusses a closed form integration of the Eshelby stress field along dislocation lines, which is essential to large-scale dislocation dynamics (DD) simulations of the strengthening induced by Eshelby inclusions. Next, it reviews the existing DD approaches and investigations of particle strengthening. Finally, the chapter presents the derivation of the Eshelby forces and implementation in a DD code and demonstrates the efficiency of the proposed modeling through massive simulations involving fully 3-D microstructures and thousands of Eshelby inclusions.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); US Army Research Laboratory (USARL)
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1605524
Report Number(s):
LLNL-JRNL--780040; 973574; ISBN: 9781786305312
Country of Publication:
United States
Language:
English

References (39)

Chapter 88 Dislocation–Obstacle Interactions at the Atomic Level book January 2009
The statistical problem of hardening journal August 1972
Homogenization method for a discrete-continuum simulation of dislocation dynamics journal September 2001
Dislocation study of prismatic slip systems and their interactions in hexagonal close packed metals: application to zirconium journal August 2004
Discrete dislocation dynamics simulations of dislocation-θ′ precipitate interaction in Al-Cu alloys journal September 2018
The work-hardening of copper-silica: I. A model based on internal stresses, with no plastic relaxation journal May 1971
Consistent formulation for the Discrete-Continuous Model: Improving complex dislocation dynamics simulations journal May 2016
Multiscale modeling of irradiation hardening: Application to important nuclear materials journal September 2018
Strengthening Mechanisms in Crystal Plasticity book August 2007
Investigation of precipitation hardening by dislocation dynamics simulations journal November 2006
The effect of dislocation self-interaction on the orowan stress journal December 1973
A multiply parallel implementation of finite element-based discrete dislocation dynamics for arbitrary geometries journal March 2014
Distortion of a Crystal by Point Imperfections journal February 1954
Cellular dislocation patterning during plastic deformation journal December 2007
Multiscale modeling of dislocation-precipitate interactions in Fe: From molecular dynamics to discrete dislocations journal January 2016
Analysis of Obstacle Hardening Models Using Dislocation Dynamics: Application to Irradiation-Induced Defects journal May 2015
Change in flow stress and ductility of δ-phase Pu–Ga alloys due to self-irradiation damage journal January 2005
Partitioning of elastic distortions at a semicoherent heterophase interface between anisotropic crystals journal January 2015
Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory journal August 2013
Non-random walk diffusion enhances the sink strength of semicoherent interfaces journal January 2016
Mesoscale thermodynamic analysis of atomic-scale dislocation–obstacle interactions simulated by molecular dynamics journal March 2010
Analytical integration of the forces induced by dislocations on a surface element journal February 2014
Enabling strain hardening simulations with dislocation dynamics journal July 2007
Multiscale modeling of precipitation hardening: Application to the Fe–Cr alloys journal August 2015
A fast algorithm for particle simulations journal December 1987
Discrete dislocation plasticity: a simple planar model journal September 1995
Modeling a distribution of point defects as misfitting inclusions in stressed solids journal May 2014
Modelling dislocations in a free-standing thin film journal August 2009
A Multiscale Model of Plasticity Based on Discrete Dislocation Dynamics journal May 2001
Modelling crystal plasticity by 3D dislocation dynamics and the finite element method: The Discrete-Continuous Model revisited journal February 2014
Edge dislocation mobilities in bcc Fe obtained by molecular dynamics journal August 2011
The peak- and overaged states of particle strengthened materials: computer simulations journal August 2001
Slip systems interactions in α-iron determined by dislocation dynamics simulations journal February 2009
Properties of Helium bubbles in Fe and FeCr alloys journal November 2011
A hybrid method for computing forces on curved dislocations intersecting free surfaces in three-dimensional dislocation dynamics journal August 2006
Influence of the stress field due to pressurized nanometric He bubbles on the mobility of an edge dislocation in iron journal March 2010
Dislocation density-based constitutive model for the mechanical behaviour of irradiated Cu journal December 2004
A Superposition Framework for Discrete Dislocation Plasticity journal November 2004
Abnormal Strain Rate Sensitivity Driven by a Unit Dislocation-Obstacle Interaction in bcc Fe journal March 2018

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