The MLPG mixed collocation method for material orientation and topology optimization of anisotropic solids and structures

Shu Li, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

In this paper, a method based on a combination of an optimization of directions of orthotropy, along with topology optimization, is applied to continuum orthotropic solids with the objective of minimizing their compliance. The spatial discretization algorithm is the so called Meshless Local Petrov-Galerkin (MLPG) "mixed collocation" method for the design domain, and the material-orthotropy orientation angles and the nodal volume fractions are used as the design variables in material optimization and topology optimization, respectively. Filtering after each iteration diminishes the checkerboard effect in the topology optimization problem. The example results are provided to illustrate the effects of the orthotropic material characteristics in structural topology-optimization.

Original languageEnglish
Pages (from-to)37-56
Number of pages20
JournalCMES - Computer Modeling in Engineering and Sciences
Volume30
Issue number1
StatePublished - 2008

Keywords

  • Collocation
  • MLPG
  • Material-axes orientation optimization
  • Meshless method
  • Mixed method
  • Orthotropy
  • Topology optimization

Fingerprint Dive into the research topics of 'The MLPG mixed collocation method for material orientation and topology optimization of anisotropic solids and structures'. Together they form a unique fingerprint.

Cite this