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A proper treatment of electrostatic interactions is crucial for the accurate calculation of forces in computer simulations. Electrostatic interactions are typically modeled using Ewald based methods, which have become one of the…

Soft Condensed Matter · Physics 2016-09-21 K. A. Terrón-Mejía , R. López-Rendón , A. Gama Goicochea

We use three-dimensional discrete dislocation dynamics simulations (DDD) to study the evolution of interfacial dislocation network (IDN) in particle-strengthened alloy systems subjected to constant stress at high temperatures. We have…

Materials Science · Physics 2019-04-19 Tushar Jogi , Saswata Bhattacharya

A system of partial differential equations (PDEs) is derived to compute the full-field stress from an observed kinematic field when the flow rule governing the plastic deformation is unknown. These equations generalize previously proposed…

Materials Science · Physics 2023-01-19 Benjamin C. Cameron , Cem Tasan

We study numerical methods for dissipative particle dynamics (DPD), which is a system of stochastic differential equations and a popular stochastic momentum-conserving thermostat for simulating complex hydrodynamic behavior at mesoscales.…

Numerical Analysis · Mathematics 2021-06-08 Xiaocheng Shang

The precision, stability, and performance of lightweight high-strength steel structures in heavy machinery is affected by their highly nonlinear dynamics. This, in turn, makes control more difficult, simulation more computationally…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Qasim Khadim , Peter Manzl , Emil Kurvinen , Aki Mikkola , Grzegorz Orzechowski , Johannes Gerstmayr

Continuum dislocation dynamics models of mesoscale plasticity consist of dislocation transport-reaction equations coupled with crystal mechanics equations. The coupling between these two sets of equations is such that dislocation transport…

Materials Science · Physics 2021-02-09 Peng Lin , Vignesh Vivekanandan , Kyle Starkey , Benjamin Anglin , Clint Geller , Anter El-Azab

Fatigue simulation requires accurate modeling of unloading and reloading. However, classical ductile damage models treat deformations after complete failure as irrecoverable -- which leads to unphysical behavior during unloading. This…

Computational Engineering, Finance, and Science · Computer Science 2023-12-06 Leon Herrmann , Alireza Daneshyar , Stefan Kollmannsberger

A numerical method is developed to efficiently calculate the stress (and displacement) field in finite 2D rectangular media. The solution is expanded on a function basis with elements that satisfy the Navier-Cauchy equation. The obtained…

Materials Science · Physics 2020-04-22 Denes Berta , Istvan Groma , Peter Dusan Ispanovity

We conduct dislocation dynamics (DD) simulations of Fe periodic single crystals under tensile load at several high strain rates and temperatures. The simulations are enabled by the recent development of temperature-dependent dislocation…

Materials Science · Physics 2013-11-26 Meijie Tang , Jaime Marian

A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of…

Computational Physics · Physics 2019-05-23 Clément Jailin , Ante Buljac , Amine Bouterf , François Hild , Stéphane Roux

Achieving strongly symmetric stress approximations for linear elasticity problems in high-contrast media poses a significant computational challenge. Conventional methods often struggle with prohibitively high computational costs due to…

Numerical Analysis · Mathematics 2025-09-03 Eric T. Chung , Changqing Ye , Xiang Zhong

This work proposes a data-driven explicit algebraic stress-based detached-eddy simulation (DES) method. Despite the widespread use of data-driven methods in model development for both Reynolds-averaged Navier-Stokes (RANS) and large-eddy…

Fluid Dynamics · Physics 2026-01-14 Hao-Chen Liu , Zifei Yin , Xin-Lei Zhang , Guowei He

Simulating long-term, fully dynamic sequences of earthquakes and aseismic slip (SEAS) on geometrically complex fault networks remains computationally demanding due to the cost of resolving elastodynamic interactions. Although…

Geophysics · Physics 2026-03-03 Federico Ciardo , Pierre Romanet

Defects are inevitable during the manufacturing processes of materials. Presence of these defects and their dynamics significantly influence the responses of materials. A thorough understanding of dislocation dynamics of different types of…

Materials Science · Physics 2024-08-28 Santosh Chhetri , Maryam Naghibolhosseini , Mohsen Zayernouri

The elastic energy functional of a system of discrete dislocation lines is well known from dislocation theory. In this paper we demonstrate how the discrete functional can be used to systematically derive approximations which express the…

Materials Science · Physics 2015-12-02 Michael Zaiser

We present a novel acceleration technique for improving the convergence of source iteration for discrete ordinates transport calculations. Our approach uses the idea of the dynamic mode decomposition (DMD) to estimate the slowly decaying…

Computational Physics · Physics 2018-12-14 Ryan G. McClarren , Terry S. Haut

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

Materials Science · Physics 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

We use our recently proposed accelerated dynamics algorithm (Tiwary & van de Walle, 2011) to calculate temperature and stress dependence of activation free energy for surface nucleation of dislocations in pristine Gold nanopillars under…

Materials Science · Physics 2013-05-14 Pratyush Tiwary , Axel van de Walle

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

We present a dislocation density-based strain hardening model for single crystal copper through a systematic coarse-graining analysis of more than 200 discrete dislocation dynamics (DDD) simulations of plastic deformation under uniaxial…

Materials Science · Physics 2020-10-28 Sh. Akhondzadeh , Ryan B. Sills , Nicolas Bertin , Wei Cai