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 |
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Pages (from-to) | 67s-75s |
Journal | Structural Engineering/Earthquake Engineering |
Volume | 21 |
Issue number | 1 |
DOIs | |
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