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A new method for the simulation of evolving multi-domains problems has been introduced in previous works (RealIMotion), Florez et al. (2020) and further developed in parallel in the context of isotropic Grain Growth (GG) with no…

计算工程、金融与科学 · 计算机科学 2021-06-23 Sebastian Florez , Karen Alvarado , Marc Bernacki

Typically, the plastic yield stress of a sample is determined from a stress-strain curve by defining a yield strain and reading off the stress required to attain it. However, it is not a priori clear that yield strengths of microscale…

软凝聚态物质 · 物理学 2013-04-22 Zoe Budrikis , Stefano Zapperi

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

软凝聚态物质 · 物理学 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The framework accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of…

强关联电子 · 物理学 2023-04-20 Jay Armas , Erik van Heumen , Akash Jain , Ruben Lier

The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries. In this fashion, the…

计算物理 · 物理学 2017-06-07 Nikhil Chandra Admal , Giacomo Po , Jaime Marian

Dynamic recrystallization is one of the main phenomena responsible for microstructure evolutions during hot forming. Consequently, getting a better understanding of DRX mechanisms and being able to predict them is crucial. This paper…

计算工程、金融与科学 · 计算机科学 2022-12-14 Victor Grand , Baptiste Flipon , Alexis Gaillac , Marc Bernacki

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…

材料科学 · 物理学 2020-10-28 Sh. Akhondzadeh , Ryan B. Sills , Nicolas Bertin , Wei Cai

The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microstructures may be driven by surface tension (capillarity),…

计算物理 · 物理学 2019-08-01 Chaozhen Wei , Luchan Zhang , Jian Han , David J. Srolovitz , Yang Xiang

Continuum models of dislocation plasticity require constitutive closure assumptions, e.g., by relating details of the dislocation microstructure to energy densities. Currently, there is no systematic way for deriving or extracting such…

材料科学 · 物理学 2021-05-26 Hengxu Song , Nina Gunkelmann , Giacomo Po , Stefan Sandfeld

A detailed theoretical and numerical investigation of the infinitesimal single-crystal gradient plasticity and grain-boundary theory of Gurtin (2008) "A theory of grain boundaries that accounts automatically for grain misorientation and…

材料科学 · 物理学 2015-05-08 D. Gottschalk , A. McBride , B. D. Reddy , A. Javili , P. Wriggers , C. B. Hirschberger

We study the Grain Boundary (GB) migration based on the underlying disconnection structure and mechanism. Disconnections are line defects that lie solely within a GB and are characterized by both a Burgers vector and a step height, as set…

材料科学 · 物理学 2019-10-23 Chaozhen Wei , Spencer L. Thomas , Jian Han , David J. Srolovitz , Yang Xiang

The phase-field crystal model in its amplitude equation approximation is shown to provide an accurate description of the deformation field in defected crystalline structures, as well as of dislocation motion. We analyze in detail the…

材料科学 · 物理学 2020-01-01 Marco Salvalaglio , Luiza Angheluta , Zhi-Feng Huang , Axel Voigt , Ken R. Elder , Jorge Viñals

Solute segregation in materials with grain boundaries (GBs) has emerged as a popular method to thermodynamically stabilize nanocrystalline structures. However, the impact of varied GB crystallographic character on solute segregation has…

材料科学 · 物理学 2025-03-10 Lydia Harris Serafin , Ethan R. Cluff , Gus L. W. Hart , Eric R. Homer

We illustrate a broken Hardy inequality on discontinuous finite element spaces, blowing up with a logarithmic factor with respect to the meshes size. This is motivated by numerical analysis for the strain gradient elasticity with natural…

数值分析 · 数学 2025-04-16 Yulei Liao , Pingbing Ming

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved…

材料科学 · 物理学 2021-11-08 Xiaoxue Qin , Luchan Zhang , Yang Xiang

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

材料科学 · 物理学 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

Modeling microstructural evolution at large strains requires mechanical formulations that remain thermodynamically consistent while capturing significant lattice rotations and transformation-induced stresses. However, most existing…

材料科学 · 物理学 2025-11-21 Tushar Jogi

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

数值分析 · 数学 2015-05-13 A. V. Shutov , R. Kreissig

A new phase field dislocation dynamics formulation is presented, which couples micromechanical solvers and the time-dependent Ginzburg-Landau equation. Grain boundary (GB)-dislocation interactions are studied by describing GBs as…

材料科学 · 物理学 2026-02-20 Brayan Murgas , Avanish Mishra , Nithin Mathew , Abigail Hunter

We modify a theory of flow stress introduced in [arXiv:1803.08247[cond-mat.mtrl-sci]], [arXiv:1809.03628[cond-mat.mes-hall]], [arXiv:1908.09338[cond-mat.mtrl-sci]] for a class of polycrystalline materials with equilibrium and…

材料科学 · 物理学 2023-09-18 Alexander A. Reshetnyak , Varvara V. Shamshutdinova