.png){kind=icon}
返回
Quantized plastic deformation
.png){kind=icon}
OA
AI
DOI：10.1016/j.jmps.2024.105704.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In engineering crystal plasticity inelastic mechanisms correspond to tensorial zero -energy valleys in the space of macroscopic strains. The flat nature of such valleys is in contradiction with the fact that plastic slips, mimicking lattice -invariant shears, are inherently discrete. A reconciliation has recently been achieved in the mesoscopic tensorial model (MTM) of crystal plasticity, which introduces periodically modulated energy valleys while also capturing in a geometrically exact way the crystallographically-specific aspects of plastic slips. In this paper, we extend the MTM framework, which in its original form had the appearance of a discretized nonlinear elasticity theory, by explicitly introducing the concept of plastic deformation. The ensuing model contains a novel matrix -valued spin variable, representing the quantized plastic distortion, whose rate -independent evolution can be described by a discrete (quasi -)automaton. The proposed reformulation of the MTM leads to a considerable computational speedup associated with the use of a robust and efficient hybrid Gauss-Newton-Cauchy energy minimization algorithm. To illustrate the effectiveness of the new approach, we present a detailed case -study focusing on the aspects of crystal plasticity that are beyond reach for the classical continuum theory. Thus, we provide compelling evidence that the re-formulated MTM is fully adequate to deal with the intermittency of plastic response under quasi -static loading. In particular, our numerical experiments show that the statistics of dislocational avalanches, associated with plastic yield in 2D square crystals, exhibits a power -law tail with a critical exponent matching the value predicted by general theoretical considerations and also independently observed in discrete -dislocation -dynamics (DDD) simulations.
Keyword:
Dislocations
Automaton
Crystal plasticity
Avalanches
Power-laws
Criticality
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
6
论文数:
5.2K
被引数:
3.0W
机构
引用论文
Research progress on effect of processing on properties and efficacy of traditional Chinese medicine containing iridoid terpenoids based on stability of compounds基于化合物稳定性的加工对含环烯醚萜类化合物的中药性质和功效影响的研究进展.png)
IF0
PREAI
分享收藏
查看更多内容