| Trans-scale mechanics： looking for the missing links between continuum and micro/nanoscopic reality |
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| 作者单位： | [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 |
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| 基金项目： | 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. |
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| 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.
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| 关 键 词： | 最大范围 连续力学 颗粒力学 比例性力学 |
| 收稿时间： | 21 January 2008 |
| 修稿时间： | 31 January 2008 |
Trans-scale mechanics: looking for the missing links between continuum and micro/nanoscopic reality |
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| Authors: | Y L Bai H Y Wang M F Xia F J Ke |
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| Institution: | (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 |
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| Abstract: | Problems involving coupled multiple space and time scales offer a real challenge for conventional frameworks 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.
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). |
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| Keywords: | Multi-scale Missing-links Continuum mechanics Particle mechanics Trans-scale mechanics |
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