Frontiers in the simulation of dislocations
Dislocations play a vital role in the mechanical behavior of crystalline materials during
deformation. To capture dislocation phenomena across all relevant scales, a multiscale …
deformation. To capture dislocation phenomena across all relevant scales, a multiscale …
Singularity-free theory and adaptive finite element computations of arbitrarily-shaped dislocation loop dynamics in 3D heterogeneous material structures
The long-standing problem of arbitrarily-shaped discrete dislocation loops in three-
dimensional heterogeneous material structures is addressed by introducing novel …
dimensional heterogeneous material structures is addressed by introducing novel …
Object kinetic Monte Carlo modelling of irradiation microstructures with elastic interactions
T Jourdan - Modelling and Simulation in Materials Science and …, 2022 - iopscience.iop.org
Elastic interactions between point defects and sinks, such as dislocations and cavities, affect
the diffusion of point defects and are responsible for some of the features observed in …
the diffusion of point defects and are responsible for some of the features observed in …
Applications of the fast multipole fully coupled poroelastic displacement discontinuity method to hydraulic fracturing problems
In this study, a fast multipole method (FMM) is used to decrease the computational time of a
fully-coupled poroelastic hydraulic fracture model with a controllable effect on its accuracy …
fully-coupled poroelastic hydraulic fracture model with a controllable effect on its accuracy …
GPU-accelerated dislocation dynamics using subcycling time-integration
Discrete dislocation dynamics (DDD) simulations are being increasingly employed to
investigate metal plasticity at the mesoscale. However, in spite of its ability to access beyond …
investigate metal plasticity at the mesoscale. However, in spite of its ability to access beyond …
Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces
Lattice dislocation interactions with semicoherent interfaces are investigated by means of
anisotropic field solutions in metallic homo-and hetero-structures. The present framework is …
anisotropic field solutions in metallic homo-and hetero-structures. The present framework is …
PBBFMM3D: a parallel black-box algorithm for kernel matrix-vector multiplication
Kernel matrix-vector product is ubiquitous in many science and engineering applications.
However, a naive method requires O (N 2) operations, which becomes prohibitive for large …
However, a naive method requires O (N 2) operations, which becomes prohibitive for large …
A Directional Equispaced interpolation-based Fast Multipole Method for oscillatory kernels
Fast multipole methods (FMMs) based on the oscillatory Helmholtz kernel can reduce the
cost of solving N-body problems arising from boundary integral equations (BIEs) in acoustics …
cost of solving N-body problems arising from boundary integral equations (BIEs) in acoustics …
Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions
In this paper, we introduce a method for multivariate function approximation using function
evaluations, Chebyshev polynomials, and tensor-based compression techniques via the …
evaluations, Chebyshev polynomials, and tensor-based compression techniques via the …
SkelFMM: A Simplified Fast Multipole Method Based on Recursive Skeletonization
This work introduces the kernel-independent multi-level algorithm" skelFMM" for evaluating
all pairwise interactions between $ N $ points connected through a kernel such as the …
all pairwise interactions between $ N $ points connected through a kernel such as the …