Topology optimization with stress constraints: Reduction of stress concentration in functionally graded structures

Fernando V. Stump, Emílio C.N. Silva, Glaucio H. Paulino

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This presentation describes a topology optimization framework to design the material distribution of functionally graded structures with a tailored Von Mises stress field. The problem of interest consists in obtaining smooth continuous material fraction distribution that produces an admissible stress field. This work explores the topology optimization method for minimizing volume fraction of one of the phases considering stress constraints. Existence of inherent material microstructure requires consideration of the micro level stress field, which is computed through a mechanical concentration factor based on the local stress in each phase of the material. Thus, p-norm of the Von Mises stress in the microstructure is considered as a global constraint. To illustrate the method and discuss its essential features, we present engineering examples of axisymmetric FGM structures subjected to body forces.

Original languageEnglish (US)
Title of host publicationMultiscale and Functionally Graded Materials - Proceedings of the International Conference, FGM IX
PublisherAmerican Institute of Physics Inc.
Pages303-308
Number of pages6
ISBN (Print)9780735404922
DOIs
StatePublished - 2008
Event9th International Conference on Multiscale and Functionally Graded Materials, FGM IX - Oahu Island, HI, United States
Duration: Oct 15 2006Oct 18 2006

Publication series

NameAIP Conference Proceedings
Volume973
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other9th International Conference on Multiscale and Functionally Graded Materials, FGM IX
Country/TerritoryUnited States
CityOahu Island, HI
Period10/15/0610/18/06

Keywords

  • Functionally grade materials
  • Stress constraint
  • Topology optimization

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

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