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Trans-scale mechanics: looking for the missing links between continuum and micro/nanoscopic reality

ISSN号：0567-7718
期刊名称：Acta Mechanica Sinica
时间：0
页码：111-126
语言：英文
分类：O3[理学—力学]
作者机构：[1]State Key Laboratory of Non-linear Mechanics (LNM),Institute of Mechanics, Chinese Academy of Sciences,Beijing 100080, China, [2]Department of Physics, Peking University, Beijing 100871, China, [3]Department of Applied Physics, Beihang University,Beijing 100083, China
相关基金：The project supported by the National Basic Research Program of China （2007CB814800）, the National Natural Science Foundation of China （10432050, 10572139, 10721202, 10772012, 10772181, 90715001）, and CAS Innovation Program （KJCX2-SW-L08, KJCX2-YW-M04）.Acknowledgment The long lasting cooperation with colleagues and graduates at LNM is greatly appreciated.
相关项目：工程材料非线性损伤累积诱致灾变破坏的机理

作者： Wang, H. Y.|Ke, F. J.|Bai, Y. L.|Xia, M. F.|

关键词：最大范围, 连续力学, 颗粒力学, 比例性力学, Multi-scale , Missing-links , Continuum mechanics , Particle mechanics , Trans-scale mechanics

中文摘要：

包含联合多重空间和时间规模的问题为粒子或连续统力学的常规框架提供真实挑战。在这篇论文，四案例研究(砍乐队形成大批金属性的眼镜，分裂源于压力波浪，在一个探查尖端和样品之间的相互作用，有分子的统计热力学的 nanoindentation 的模拟)被提供说明trans规模问题的三个层次(问题由于各种各样的物理机制在宏级，问题由于在 macro/micro-level 的微结构进化，问题由于在 micro/nano-level 联合原子/分子和有限尺寸身体)并且他们的明确的表达。因此，非平衡统计力学，联合 trans 规模方程和同时的答案，和基于原子 / 分子的相互作用的 trans 规模算法作为 trans 规模力学的三个可能的模式被建议。

英文摘要：

Problems involving coupled multiple space and time scales offer a real challenge for conventional frame-works of either particle or continuum mechanics. In this paper, four cases studies （shear band formation in bulk metallic glasses, spallation resulting from stress wave, interaction between a probe tip and sample, the simulation of nanoindentation with molecular statistical thermodynamics） are provided to illustrate the three levels of trans-scale problems （problems due to various physical mechanisms at macro-level, problems due to micro-structural evolution at macro/micro-level, problems due to the coupling of atoms/ molecules and a finite size body at micro/nano-level） and their formulations. Accordingly, non-equilibrium statistical mechanics, coupled trans-scale equations and simultaneous solutions, and trans-scale algorithms based on atomic/molecular interaction are suggested as the three possible modes of trans-scale mechanics.