Field Theory-based Multiscale Modeling of Polycrystalline PlasticityField Theory-based Multiscale Modeling of Polycrystalline Plasticity

基于场论的多晶塑性多尺度建模基于场论的多晶塑性多尺度建模

• 批准号: 16560084
• 负责人: HASEBE Tadashi
• 金额: $ 2.53万
• 依托单位: Kobe University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2007
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16560084/
• 关键词: Field Theory; Crystal Plasticity; Dislocation Theory; Continuum Mechanics; Micromechanics; Polycrystalline Plasticity; Non-Riemannian Plasticity; 相互作用場; 結晶塑性; ひずみ勾配塑性; 転位; 結晶塑性論; ひずみ勾配; 非リーマン塑性論; ゲージ場理論

The present series of studies primarily identify three key features of polycrystalline plasticity of metallic materials relating to the collective behavior of composing crystal grains from a completely new standpoint called "field theory." They are (1) growing fluctuations in stress and strain fields with increasing number of crystal grains composing the sample, especially in the hydrostatic and deviatoric components, respectively, which ultimately form stress supporting structure (SSS) and flow-carrying structure (FCS), (b) remote effect activated through the complimentarily developed SSS and FCS, and (c)"duality" between the two fluctuating fields. Also, new notions about field interactions based on compatibility tensor, together with a couple of preliminary application examples are provided. Furthermore, three important scale levels in terms of inhomogeneity are identified for tackling the multiscale polycrystalline plasticity, i.e., (A)dislocation sub-structural, (B)intra-granular and ctrans-granular scales, and distinct treatments and associated modeling and simulation methodologies for the individual scales are proposed.

本系列研究主要从称为“场论”的全新观点出发，确定了金属材料多晶塑性的三个关键特征，这些特征与组成晶粒的集体行为有关。它们是（1）随着构成样品的晶粒数量的增加，应力和应变场的波动不断增大，特别是分别在静压和偏向分量中，最终形成应力支撑结构（SSS）和流动承载结构（FCS）， (b) 通过互补发展的 SSS 和 FCS 激活远程效应，以及 (c) 两个波动场之间的“二元性”。此外，还提供了基于兼容性张量的场相互作用的新概念，以及一些初步的应用示例。此外，确定了在不均匀性方面的三个重要尺度水平，以解决多尺度多晶塑性问题，即（A）位错亚结构，（B）晶内和跨晶粒尺度，以及不同的处理方法和相关的建模和模拟方法提出了各个量表的建议。

项目成果

Continuum Description of Inhomogeneously Deforming Polycrystalline Aggregate based on Field Theory

基于场论的不均匀变形多晶骨料的连续描述

• 发表时间: 2004
• 期刊: Mesoscopic Dynamics of Fracture Process and Materials Strength (Eds. H Kitagawa & Y. Shibutani)、 kluwer.
• 作者: Y;Higa.;T;Nkamura.;T;Hasebe.;Y;Tomita;T. Hasebe;T. Hasebe
• 通讯作者: T. Hasebe

Multiscale Crystal Plasticity Modeling based on Field Theory

• DOI: 10.3970/cmes.2006.011.145
• 发表时间: 2006-02
• 期刊: Cmes-computer Modeling in Engineering & Sciences
• 影响因子: 2.4
• 作者: T. Hasebe

Collective Behavior of Single-phase polycrystalline Plasticity

单相多晶塑性的集体行为

• 发表时间: 2005
• 期刊: JSME A71-710
• 作者: Y;Higa.;T;Nkamura.;T;Hasebe.;Y;Tomita
• 通讯作者: Tomita

New Physical interpretation of Incompatibility and Application to Dislocation Substructure Evolution

不相容性的新物理解释及其在位错亚结构演化中的应用

• 发表时间: 2007
• 期刊: Key Engineering Materials 340-341
• 作者: Y. Aoyagi;T. Hasebe
• 通讯作者: T. Hasebe

Dislocation Dynamics Simulation on Stability of High Dense Dislocation Structure Interacting with Coarsening Defects

高密位错结构与粗化缺陷相互作用稳定性的位错动力学模拟

• 发表时间: 2008
• 期刊: Interaction and Multiscale Mechanics, An Inter. J. (IMMIJ) (To appear)
• 作者: M. Yamada;T. Hasebe;Y. Tomita;T. Onizawa
• 通讯作者: T. Onizawa