Modèle à double gradient pour matériaux renforcés. Modélisation théorique et expérimentale

C Boutin; J Soubestre; MS Dietz

Modèle à double gradient pour matériaux renforcés. Modélisation théorique et expérimentale

C Boutin, J Soubestre, MS Dietz

Department of Civil Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

This study deals with elastic media periodically reinforced by slender and very stiff inclusions. Using homogenization and dimensional analysis, one deduces the conditions inducing a full coupling between the beam behavior of the inclusions and the shear behavior of the matrix. Conversely to the Cauchy media usually derived for composites, the macroscopic model involves at the leading order a second gradient effect (inner bending) and differs from Cosserat media (despite the inner rotation of the beam section). An experimental validation of these theoretical results is given in conclusion.

Translated title of the contribution	Modèle à double gradient pour matériaux renforcés. Modélisation théorique et expérimentale
Original language	English
Title of host publication	20ème Congrès Français de Mécanique, Besançon, France
Number of pages	6
Publication status	Published - 2011

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title = "Mod{\`e}le {\`a} double gradient pour mat{\'e}riaux renforc{\'e}s. Mod{\'e}lisation th{\'e}orique et exp{\'e}rimentale",

abstract = "This study deals with elastic media periodically reinforced by slender and very stiff inclusions. Using homogenization and dimensional analysis, one deduces the conditions inducing a full coupling between the beam behavior of the inclusions and the shear behavior of the matrix. Conversely to the Cauchy media usually derived for composites, the macroscopic model involves at the leading order a second gradient effect (inner bending) and differs from Cosserat media (despite the inner rotation of the beam section). An experimental validation of these theoretical results is given in conclusion.",

author = "C Boutin and J Soubestre and MS Dietz",

year = "2011",

language = "English",

booktitle = "20{\`e}me Congr{\`e}s Fran{\c c}ais de M{\'e}canique, Besan{\c c}on, France",

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T1 - Modèle à double gradient pour matériaux renforcés. Modélisation théorique et expérimentale

AU - Boutin, C

AU - Soubestre, J

AU - Dietz, MS

PY - 2011

Y1 - 2011

N2 - This study deals with elastic media periodically reinforced by slender and very stiff inclusions. Using homogenization and dimensional analysis, one deduces the conditions inducing a full coupling between the beam behavior of the inclusions and the shear behavior of the matrix. Conversely to the Cauchy media usually derived for composites, the macroscopic model involves at the leading order a second gradient effect (inner bending) and differs from Cosserat media (despite the inner rotation of the beam section). An experimental validation of these theoretical results is given in conclusion.

AB - This study deals with elastic media periodically reinforced by slender and very stiff inclusions. Using homogenization and dimensional analysis, one deduces the conditions inducing a full coupling between the beam behavior of the inclusions and the shear behavior of the matrix. Conversely to the Cauchy media usually derived for composites, the macroscopic model involves at the leading order a second gradient effect (inner bending) and differs from Cosserat media (despite the inner rotation of the beam section). An experimental validation of these theoretical results is given in conclusion.

M3 - Conference Contribution (Conference Proceeding)

BT - 20ème Congrès Français de Mécanique, Besançon, France

ER -