e-journal

Homogenization of linearly elastic honeycombs

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Abstract.
A continuum model for the in-plane deformations of cellular materials with honeycomb texture is derived by using the tools of homogenization theory via Γ -convergence. It is shown that the effective medium does not develop couple stresses, although it exhibits some mild trait of polarity. General stress–strain relations and the yield domains for various levels of the applied body couples are deduced. The paper is a refinement of a previous one based on a less rich microscopic kinematics, but the analysis confirms most of those results.

Keywords: cellular materials, honeycombs, materials with microstructure, homogenization

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Informasi Detail

Judul Seri

Mathematics and Mechanics of Solids

No. Panggil

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Penerbit

London : SAGE Publications Ltd., 2012

Deskripsi Fisik

Mathematics and Mechanics of Solids 18(1): 3–23

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

18(1)

Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

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