Nonlinear multi-scale modeling with frame elements for cellular materials

Ken Ooue; Isao Saiki; Kenjiro Terada; Akinori Nakajima

doi:10.2208/jsceseee.21.67s

Nonlinear multi-scale modeling with frame elements for cellular materials

Ken Ooue, Isao Saiki, Kenjiro Terada, Akinori Nakajima

Regional and Urban Reconstruction Research Division

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

2 Citations (Scopus)

Abstract

The development of a nonlinear homogenization for media having lattice-like periodic microstructure is presented. For continuum media, conventional homogenization methods lead to classical continuum boundary value problems at both micro- and micro-scales. However, discretizing latticelike micro-structures, such as cellular solids, by frame elements is a natural step. The main difficulty in applying frame elements to micro-scale problems is inconsistencies between the kinematic field of the frame elements and the micro-scale displacement field. Numerical examples of cellular solids demonstrate the feasibility and strengths of the computational efficiency of the method presented.

Original language	English
Pages (from-to)	67s-75s
Journal	Structural Engineering/Earthquake Engineering
Volume	21
Issue number	1
DOIs	https://doi.org/10.2208/jsceseee.21.67s
Publication status	Published - 2004 Apr 1

Keywords

Bifurcation
Cellular materials
Homogenization method
Multi-scale modeling
Non-convex potential

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Arts and Humanities (miscellaneous)
Geotechnical Engineering and Engineering Geology

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abstract = "The development of a nonlinear homogenization for media having lattice-like periodic microstructure is presented. For continuum media, conventional homogenization methods lead to classical continuum boundary value problems at both micro- and micro-scales. However, discretizing latticelike micro-structures, such as cellular solids, by frame elements is a natural step. The main difficulty in applying frame elements to micro-scale problems is inconsistencies between the kinematic field of the frame elements and the micro-scale displacement field. Numerical examples of cellular solids demonstrate the feasibility and strengths of the computational efficiency of the method presented.",

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AU - Ooue, Ken

AU - Saiki, Isao

AU - Terada, Kenjiro

AU - Nakajima, Akinori

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N2 - The development of a nonlinear homogenization for media having lattice-like periodic microstructure is presented. For continuum media, conventional homogenization methods lead to classical continuum boundary value problems at both micro- and micro-scales. However, discretizing latticelike micro-structures, such as cellular solids, by frame elements is a natural step. The main difficulty in applying frame elements to micro-scale problems is inconsistencies between the kinematic field of the frame elements and the micro-scale displacement field. Numerical examples of cellular solids demonstrate the feasibility and strengths of the computational efficiency of the method presented.

AB - The development of a nonlinear homogenization for media having lattice-like periodic microstructure is presented. For continuum media, conventional homogenization methods lead to classical continuum boundary value problems at both micro- and micro-scales. However, discretizing latticelike micro-structures, such as cellular solids, by frame elements is a natural step. The main difficulty in applying frame elements to micro-scale problems is inconsistencies between the kinematic field of the frame elements and the micro-scale displacement field. Numerical examples of cellular solids demonstrate the feasibility and strengths of the computational efficiency of the method presented.

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KW - Homogenization method

KW - Multi-scale modeling

KW - Non-convex potential

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