Strain gradient elastic homogenization of bidimensional cellular media

N. Auffray; R. Bouchet; Y. Bréchet

doi:10.1016/j.ijsolstr.2010.03.011

Strain gradient elastic homogenization of bidimensional cellular media

N. Auffray, R. Bouchet, Y. Bréchet

Research output: Contribution to journal › Article › Research › peer-review

65 Citations (Scopus)

Abstract

The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.

Original language	English
Pages (from-to)	1698-1710
Number of pages	13
Journal	International Journal of Solids and Structures
Volume	47
Issue number	13
DOIs	https://doi.org/10.1016/j.ijsolstr.2010.03.011
Publication status	Published - 15 Jun 2010
Externally published	Yes

Keywords

Anisotropy
Homogenization
Strain gradient elasticity
Symmetry classes

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10.1016/j.ijsolstr.2010.03.011

Cite this

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abstract = "The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.",

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author = "N. Auffray and R. Bouchet and Y. Br{\'e}chet",

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AU - Bouchet, R.

AU - Bréchet, Y.

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N2 - The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.

AB - The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.

KW - Anisotropy

KW - Homogenization

KW - Strain gradient elasticity

KW - Symmetry classes

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JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

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ER -

Strain gradient elastic homogenization of bidimensional cellular media

Abstract

Keywords

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