Implicit, Incremental Homogenization Method for Periodic Inelastic Solids
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- ASADA Takashi
- Department of Computational Science and Engineering, Nagoya University
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- OHNO Nobutada
- Department of Computational Science and Engineering, Nagoya University
Bibliographic Information
- Other Title
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- 陰解法に基づく周期非弾性固体の増分均質化法
- インカイホウ ニ モトヅク シュウキ ヒダンセイ コタイ ノ ゾウブン キンシツカホウ
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Abstract
In this study, to determine incremental, perturbed displacement fields in periodic inelastic solids, an incremental homogenization problem is fully implicitly formulated using a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balance equation. It is shown that the homogenization problem can be iteratively solved with quadratic convergences by successively updating strain increments in unit cells, and that the present formulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi (2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holed plate, with an elastic-plastic micro-structure, subjected to tensile loading. It is thus demonstrated that the convergence in iteratively solving the homogenization problem strongly depends on the initial setting of strain increments in unit cells, and that quick convergences can be attained if the initial setting of strain increments is appropriate.
Journal
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- TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
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TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 72 (722), 1443-1450, 2006
The Japan Society of Mechanical Engineers
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Details 詳細情報について
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- CRID
- 1390282679454282368
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- NII Article ID
- 110004837512
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- NII Book ID
- AN0018742X
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- ISSN
- 18848338
- 03875008
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- NDL BIB ID
- 8556087
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed