Journal ArticleDOI
Fast-sum method for the elastic field of three-dimensional dislocation ensembles
Nasr M. Ghoniem,Lizhi Sun +1 more
TLDR
In this paper, the elastic field of complex shape ensembles of dislocation loops is developed as an essential ingredient in the dislocation dynamics method for computer simulation of mesoscopic plastic deformation.Abstract:
The elastic field of complex shape ensembles of dislocation loops is developed as an essential ingredient in the dislocation dynamics method for computer simulation of mesoscopic plastic deformation. Dislocation ensembles are sorted into individual loops, which are then divided into segments represented as parametrized space curves. Numerical solutions are presented as fast numerical sums for relevant elastic field variables (i.e., displacement, strain, stress, force, self-energy, and interaction energy). Gaussian numerical quadratures are utilized to solve for field equations of linear elasticity in an infinite isotropic elastic medium. The accuracy of the method is verified by comparison of numerical results to analytical solutions for typical prismatic and slip dislocation loops. The method is shown to be highly accurate, computationally efficient, and numerically convergent as the number of segments and quadrature points are increased on each loop. Several examples of method applications to calculations of the elastic field of simple and complex loop geometries are given in infinite crystals. The effect of crystal surfaces on the redistribution of the elastic field is demonstrated by superposition of a finite-element {ital image force} field on the computed results. {copyright} {ital 1999} {ital The American Physical Society}read more
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Enabling strain hardening simulations with dislocation dynamics
Athanasios Arsenlis,Wei Cai,Meijie Tang,Moono Rhee,Tomas Oppelstrup,Gregg Hommes,Tom G. Pierce,Vasily V. Bulatov +7 more
TL;DR: In this paper, numerical algorithms for discrete dislocation dynamics simulations are investigated for the purpose of enabling strain hardening simulations of singlecrystals on massively parallel computers, and the authors propose a deterministic algorithm for single-crystal simulations.
Journal ArticleDOI
A non-singular continuum theory of dislocations
TL;DR: In this article, a non-singular, self-consistent framework for computing the stress field and the total elastic energy of a general dislocation microstructure was developed, in which the driving force defined as the negative derivative of the total energy with respect to the dislocation position, is equal to the force produced by stress, through the Peach-Koehler formula.
Journal ArticleDOI
Nanoscale phase field microelasticity theory of dislocations: model and 3D simulations
TL;DR: In this article, the first phase field model of evolution of a multi-dislocation system in elastically anisotropic crystal under applied stress is formulated, which is a modification and extension of our Phase Field Microelasticity approach to the theory of coherent phase transformations.
Journal ArticleDOI
A multiscale model of plasticity
TL;DR: In this article, a hybrid elasto-viscoplastic simulation model was proposed to investigate small-scale plasticity phenomena and related material instabilities at various length scales ranging from the nano-microscale to the mesoscale.
Journal ArticleDOI
Aspects of boundary-value problem solutions with three-dimensional dislocation dynamics
TL;DR: In this paper, a three-dimensional discrete dislocation dynamics plasticity model is presented, which allows realistic boundary conditions on the specimen, as both stress and displacement fields of the dislocations are incorporated in the formulation.