The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Boundary Effects in a Phase-Field approach to Topology Optimization

På svenska

Author

Summary, in English

A phase-field based topology optimization approach is considered for the maximum stiffness or minimum compliance problem. The objective functional to be minimized consists in addition to the compliance a cost for gray solutions and a cost for interfaces between void and full material. Since the interfaces between void and full material are penalized via a volume integral in the original phase-field formulation there is no penalty associated with interfaces along the external boundaries. In the present contribution, an additional term representing the cost of interfaces at external boundaries is added to the functional subject to minimization. It is shown that the new boundary term enters the optimization as a Robin boundary condition. The method is implemented in a finite element setting and numerical simulations of typical structures are considered. The results indicate that the optimal designs are influenced by the cost of interfaces to a large

Publishing year

2014

Language

English

Pages

145-159

Publication/Series

Computer Methods in Applied Mechanics and Engineering

Volume

278

Document type

Journal article

Publisher

Elsevier

Topic

  • Mechanical Engineering

Keywords

  • Topology optimization
  • Phase-field
  • Boundary energy
  • Double obstacle problem
  • Howard’s algorithm

Status

Published

ISBN/ISSN/Other

  • ISSN: 0045-7825