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Gradient structured (GS) metals processed by severe plastic deformation techniques can be designed to achieve simultaneously high strength and high ductility. Significant kinematic hardening is key to their excellent strain hardening…

材料科学 · 物理学 2020-02-11 Jianfeng Zhao , Xiaochong Lu , Jinling Liu , Chen Bao , Guozheng Kang , Michael Zaiser , Xu Zhang

Discrete dislocation dynamics (DDD) is a widely employed computational method to study plasticity at the mesoscale that connects the motion of dislocation lines to the macroscopic response of crystalline materials. However, the…

材料科学 · 物理学 2023-05-24 Nicolas Bertin , Fei Zhou

Because of the enormous range of time and space scales involved in dislocation dynamics, plastic modeling at macroscale requires a continuous formulation. In this paper, we present a rigorous formulation of the transition between the…

材料科学 · 物理学 2016-06-22 P. L. Valdenaire , Y. Le Bouar , B. Appolaire , A. Finel

We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic…

偏微分方程分析 · 数学 2020-05-08 Martin Kružík , David Melching , Ulisse Stefanelli

Multiscale models of materials, consisting of upscaling discrete simulations to continuum models, are unique in their capability to simulate complex materials behavior. The fundamental limitation in multiscale models is the presence of…

计算工程、金融与科学 · 计算机科学 2020-12-22 Jingye Tan , Umberto Villa , Nima Shamsaei , Shuai Shao , Hussein M. Zbib , Danial Faghihi

In this work we establish the well-posedness for infinitesimal dislocation based gradient viscoplasticity with isotropic hardening for general gradient monotone plastic flows. We assume an additive split of the displacement gradient into…

偏微分方程分析 · 数学 2014-11-06 Nataliya Kraynyukova , Patrizio Neff , Sergiy Nesenenko , Krzysztof Chełmiński

It is well known that the classical energetically consistent micropolar model has limits in simulating the frequency band structure of packed granular materials (see Merkel et al., 2011). It is here shown that if a standard continualization…

软凝聚态物质 · 物理学 2021-04-27 Andrea Bacigalupo , Luigi Gambarotta

Grain boundaries in ultrafine grained (UFG) materials processed by severe plastic deformation (SPD) are often called "non-equilibrium" grain boundaries. Such boundaries are characterized by excess grain boundary energy, presence of long…

材料科学 · 物理学 2012-03-30 Xavier Sauvage , Gerhard Wilde , Sergiy Divinski , Zenji Horita , Ruslan Valiev

A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain gradient plasticity formulations. A unified treatment is possible due to the representation of strain…

软凝聚态物质 · 物理学 2018-08-01 Andrew McBride , B. Daya Reddy , Paul Steinmann

The importance of accurate simulation of the plastic deformation of ductile metals to the design of structures and components is well-known. Many techniques exist that address the length scales relevant to deformation pro- cesses, including…

材料科学 · 物理学 2016-08-16 Reese Jones , Jonathan Zimmerman , Giacomo Po

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

材料科学 · 物理学 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain…

材料科学 · 物理学 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

The dynamics of dislocation assemblies in deforming crystals indicate the emergence of collective phenomena, intermittent fluctuations and strain avalanches. In polycrystalline materials, the understanding of plastic deformation mechanisms…

材料科学 · 物理学 2009-11-13 Paolo Moretti , Lasse Laurson , Mikko J. Alava

A yield surface of a material is a set of critical stress conditions beyond which macroscopic plastic deformation begins. For crystalline solids, plastic deformation occurs through the motion of dislocations, which can be captured by…

材料科学 · 物理学 2024-02-06 Wu-Rong Jian , Mian Xiao , WaiChing Sun , Wei Cai

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

材料科学 · 物理学 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

Grain boundary (GB) energy is a fundamental property that affects the form of grain boundary and plays an important role to unveil the behavior of polycrystalline materials. With a better understanding of grain boundary energy distribution…

计算物理 · 物理学 2020-02-04 Haoyu Wang , Srikanth Patala , Brian J. Reich

In this work we study the homogenization for infinitesimal dislocation based gradient viscoplasticity with linear kinematic hardening and general non-associative monotone plastic flows. The constitutive equations in the models we study are…

偏微分方程分析 · 数学 2016-10-11 Sergiy Nesenenko

The focus is on discrete defects that can be modeled by continuum mechanics, but where the discreteness of the carriers of plastic deformation plays a significant role. The formulations are restricted to small deformation kinematics and the…

材料科学 · 物理学 2023-05-10 Alan Needleman

A discrete model and the regular solution approximation are applied to describe the effect of grain boundary motion on grain boundary phase transformations in a binary alloy. The model predicts all thermodynamic properties of the grain…

材料科学 · 物理学 2019-05-13 Y. Mishin

A novel general purpose Finite Element framework is presented to study small-scale metal plasticity. A distinct feature of the adopted distortion gradient plasticity formulation, with respect to strain gradient plasticity theories, is the…

材料科学 · 物理学 2017-11-16 Emilio Martínez-Pañeda , Christian F. Niordson , Lorenzo Bardella