| Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics： the Convex Case |
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| 引用本文： | Xavier Blanc Claude Le Bris Frédéric Legoll. Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics： the Convex Case[J]. 应用数学学报(英文版), 2007, 23(2): 209-216. DOI: 10.1007/s10255-007-0364-5 |
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| 作者姓名： | Xavier Blanc Claude Le Bris Fré dé ric Legoll |
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| 作者单位： | [1]Laboratoire J.L.-Lions, Université Pierre et Marie Curie, Boite courtier 187, F-75252 Paris, France [2]CERMICS, Ecole Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, Cité Descartes, F-77455 Marne-la-Vallée and MICMAC, Inria Rocquencourt, F-78153 Le Chesnay, France [3]EDF R ＆ D, 1 avenue du Général de Gaulle, F-92140 Clamart, France |
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| 摘 要： | In order to describe a solid which deforms smoothly in some region,but non smoothly in someother region,many multiscale methods have been recently proposed that aim at coupling an atomistic model(discrete mechanics) with a macroscopic model (continuum mechanics).We provide here a theoretical basis forsuch a coupling in a one-dimensional setting,in the case of convex energy.
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| 关 键 词： | 原型 多尺度法 变分问题 连续力学 原子论模型 凸函数 |
| 收稿时间： | 2005-01-11 |
| 修稿时间： | 2005-01-11 |
Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics: the Convex Case |
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| Xavier Blanc,Claude Le Bris,Frédéric Legoll. Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics: the Convex Case[J]. Acta Mathematicae Applicatae Sinica, 2007, 23(2): 209-216. DOI: 10.1007/s10255-007-0364-5 |
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| Authors: | Xavier Blanc Claude Le Bris Frédéric Legoll |
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| Affiliation: | (1) Laboratoire J.L.-Lions, Université Pierre et Marie Curie, Boite courrier 187, F-75252 Paris, France;(2) CERMICS, Ecole Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, Cité Descartes, F-77455 Marne-la-Vallée, France;(3) MICMAC, Inria Rocquencourt, F-78153 Le Chesnay, France;(4) EDF R & D, 1 avenue du Général de Gaulle, F-92140 Clamart, France |
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| Abstract: | In order to describe a solid which deforms smoothly in some region,but non smoothly in some other region,many multiscale methods have been recently proposed that aim at coupling an atomistic model (discrete mechanics) with a macroscopic model (continuum mechanics).We provide here a theoretical basis for such a coupling in a one-dimensional setting,in the case of convex energy. |
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| Keywords: | Multiscale methods variational problems continuum mechanics discrete mechanics |
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