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From Molecular Models to Continuum Mechanics
Blanc, Xavier ; Le Bris, Claude ; Lions, Pierre-Louis
HAL, hal-01487687 / Harvested from HAL
Text on HAL
We present here a limiting process allowing us to write some continuum mechanics models as a natural asymptotic of molecular models. The approach is based on the hypothesis that the macroscopic displacement is equal to the microscopic one. We carry out the corresponding calculations in the case of two-body energies, including higher order terms, and also in the case of Thomas-Fermi type models.
Publié le : 2002-07-04
Classification:  [MATH]Mathematics [math],  [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 
@article{hal-01487687,
     author = {Blanc, Xavier and Le Bris, Claude and Lions, Pierre-Louis},
     title = {From Molecular Models to Continuum Mechanics},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01487687}
}

Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis. From Molecular Models to Continuum Mechanics. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01487687/