Topology Optimization of Periodic Microstructures with a Penalization of Highly Localized Buckling Modes

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The problem of determining highly localized buckling modes in perfectly periodic cellular microstructures of infinite extent is addressed. A double scale asymptotic technique is applied to the linearized stability problem for a periodic structure built from linearly elastic microstructures. The obtained stability condition for the microscale level is then used to establish a comparative analysis between different material distributions in the base cell subjected to the same strain field at the macroscale level. The idea is illustrated by some two-dimensional finite element examples and used to design materials with optimal elastic properties that are less prone to localized instability in the form of local buckling modes at the scale of the micro structure. Copyright (C) 2002 John Wiley Sons, Ltd.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Volume54
Issue number6
Pages (from-to)809-834
ISSN0029-5981
DOIs
Publication statusPublished - 2002

Keywords

  • Topology optimization
  • Periodic microstructures
  • Linearized elastic buckling
  • Homogenization

Fingerprint Dive into the research topics of 'Topology Optimization of Periodic Microstructures with a Penalization of Highly Localized Buckling Modes'. Together they form a unique fingerprint.

Cite this