書誌事項
- タイトル別名
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- Microscopic Bifurcation and Macroscopic Localization in Periodic Cellular Solids: Elastoplastic Analysis Based on a Homogenization Theory
- キンシツカ リロン ニ ヨル シュウキ セルジョウ コタイ ノ ビシテキ ブンキ ト キョシテキ フアンテイ ノ ダン ソセイ カイセキ
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In this work, the microscopic bifurcation leading to macroscopic localization in elastoplastic, periodic cellular solids is studied. To this end, a general framework of microscopic bifurcation analysis is established on the basis of the up-dated Lagrangian type homogenization theory developed by the present authors. We thus derive the boundary value problem to find microscopic eigenmodes and the orthogonality indicating no influence of the eigenmodes on the macroscopic variation at the onset of microscopic bifurcation. Then, using a substructure-based finite element method, bifurcation analysis and post-bifurcation analysis are performed for cell aggregates of an elastoplastic honeycomb subject to in-plane uniaxial compression. It is shown that in macroscopically unstable states, microscopic bifurcation with multiplicity occurs due to the Bloch wave nature, if the periodic cell number is not small. It is also shown that the Bloch wave consists of longitudinal and transverse components: only the longitudinal one grows to the macroscopic localization of compression type in a cell row perpendicular to the loading axis.
収録刊行物
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- 日本機械学会論文集A編
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日本機械学会論文集A編 69 (686), 1421-1428, 2003
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390282679454637696
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- NII論文ID
- 110002370463
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- NII書誌ID
- AN0018742X
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- ISSN
- 18848338
- 03875008
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- NDL書誌ID
- 6746531
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可