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 | |
| 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