Homogenization methods and mechanics of generalized continua - part 2
Theoretical and applied mechanics, 28-29 (2002) no. 1, p. 113
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The need for generalized continua arises in several areas of the mechanics of heterogeneous materials, especially in homogenization theory. A generalized homogeneous substitution medium is necessary at the global level when the structure made of a composite material is subjected to strong variations of the mean fields or when the intrinsic lengths of non-classical constituents are comparable to the wavelength of variation of the mean fields. In the present work, a systematic method based on polynomial expansions is used to replace a classical composite material by Cosserat and micromorphic equivalent ones. In a second part, a mixture of micromorphic constituents is homogenized using the multiscale asymptotic method. The resulting macroscopic medium is shown to be a Cauchy, Cosserat, microstrain or a full micromorphic continuum, depending on the hierarchy of the characteristic lengths of the problem.
S. Forest. Homogenization methods and mechanics of generalized continua - part 2. Theoretical and applied mechanics, 28-29 (2002) no. 1, p. 113 . doi: 10.2298/TAM0229113F
@article{10_2298_TAM0229113F,
author = {S. Forest},
title = {Homogenization methods and mechanics of generalized continua - part 2},
journal = {Theoretical and applied mechanics},
pages = {113 },
year = {2002},
volume = {28-29},
number = {1},
doi = {10.2298/TAM0229113F},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM0229113F/}
}
TY - JOUR AU - S. Forest TI - Homogenization methods and mechanics of generalized continua - part 2 JO - Theoretical and applied mechanics PY - 2002 SP - 113 VL - 28-29 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2298/TAM0229113F/ DO - 10.2298/TAM0229113F LA - en ID - 10_2298_TAM0229113F ER -
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