Journal ArticleDOI
A generalized approach for solution to image stresses of dislocations
X. Pan,W. Hu,Cheng-Tang Wu +2 more
TLDR
In this article, an adaptive mesh-free method was proposed to calculate the image stresses of the dislocations at the free boundaries and bicrystal interfaces, where the interface constraints are imposed using Lagrangian multiplier.Abstract:
This paper proposes an adaptive meshfree method to calculate the image stresses of the dislocations at the free boundaries and bicrystal interfaces. Based on the superposition method (van der Giessen and Alan Needleman, 1995) originally proposed for single crystal material with free boundaries, a weak formulation is developed for the bicrystal materials containing dislocations, where the interface constraints are imposed using Lagrangian multiplier. The meshfree approximation is introduced to improve the accuracy and smoothness from conventional FEM interpolation functions, and it is straightforward to adaptively enrich meshfree nodes at the surrounding area of dislocations to effectively improve the solution accuracy. The numerical examples demonstrate the effectiveness of the proposed method to calculate the image stress in 2D and 3D problems with various boundary and interface conditions using either the classical elasticity (J.P.Hirth and J.Lothe, 1982) or the singularity-free dislocation theory (M.Lazar, 2012, 2013, 2014; G.Po and M.Lazar, 2014).read more
Citations
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Fast parallel algorithms for short-range molecular dynamics
TL;DR: Comparing the results to the fastest reported vectorized Cray Y-MP and C90 algorithm shows that the current generation of parallel machines is competitive with conventional vector supercomputers even for small problems.
Journal ArticleDOI
Nonsingular Stress Distribution of Edge Dislocations near Zero-Traction Boundary
TL;DR: In this article , the authors developed an explicit formulation for the nonsingular stress field generated by an edge dislocation near the zero-traction surface of an elastic medium, which is free from non-physical divergence near the dislocation-core, as compared to classical solutions.
Journal ArticleDOI
Bayesian optimization of discrete dislocation plasticity of two-dimensional precipitation-hardened crystals
TL;DR: In this paper , a strategy exploiting Bayesian optimization is proposed to efficiently search the multidimensional space of microstructures, defined here by the size distribution of precipitates (fixed impurities or inclusions acting as obstacles for dislocation motion) within a simple two-dimensional discrete dislocation dynamics model.
Bayesian optimization of discrete dislocation plasticity of two-dimensional precipitation-hardened crystals
Mika Sarvilahti,Lasse Laurson +1 more
TL;DR: In this paper , a strategy exploiting Bayesian optimization is proposed to search the multidimensional space of microstructures, defined here by the size distribution of precipitates within a simple two-dimensional discrete dislocation dynamics model.
References
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Journal ArticleDOI
Fast parallel algorithms for short-range molecular dynamics
TL;DR: In this article, three parallel algorithms for classical molecular dynamics are presented, which can be implemented on any distributed-memory parallel machine which allows for message-passing of data between independently executing processors.
Fast parallel algorithms for short-range molecular dynamics
TL;DR: Comparing the results to the fastest reported vectorized Cray Y-MP and C90 algorithm shows that the current generation of parallel machines is competitive with conventional vector supercomputers even for small problems.
Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Journal ArticleDOI
Smoothed particle hydrodynamics
TL;DR: In this article, the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed, focusing on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied.
Journal ArticleDOI
Smoothed particle hydrodynamics.
TL;DR: In this paper, the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed, focusing on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied.
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