On topology optimization with gradient-enhanced damage: An alternative formulation based on linear physics

Jonathan B. Russ, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Numerous topology optimization formulations have been proposed in order to enhance structural resistance to material failure. A clear line can often be drawn between those methods which attempt to constrain local failure criteria and those that explicitly model the failure physics during the optimization process. In this work the former method is extended in a manner inspired by the mathematical form of typical gradient-enhanced damage models. Importantly, the proposed formulation relies on linear physics during the optimization procedure, which greatly increases its speed and robustness, both of which are essential in industrial applications where large numerical models are typically used. The size effect introduced by using such a numerical model is further investigated and select observations are provided, such as spurious “fin-like” patterns that emerge depending on the type of structure and loading conditions. Finally, the load capacity is verified for each optimized design through a post-optimization verification procedure which is unaffected by the density-based design parameterization and associated material interpolation schemes.

Original languageEnglish (US)
Article number105204
JournalJournal of the Mechanics and Physics of Solids
Volume173
DOIs
StatePublished - Apr 2023

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Gradient-enhanced damage
  • Load capacity
  • Local constraints
  • Topology optimization

Fingerprint

Dive into the research topics of 'On topology optimization with gradient-enhanced damage: An alternative formulation based on linear physics'. Together they form a unique fingerprint.

Cite this