Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

Howard's algorithm in a phase-field topology optimization approach

In English

Författare

Summary, in English

Abstract in Undetermined
The topology optimization problem is formulated in a phase-field approach. The solution procedure is based on the Allan–Cahn diffusion model where the conservation of volume is enforced by a global constraint. The functional defining the minimization problem is selected such that no penalization is imposed for full and void materials. Upper and lower bounds of the density function are enforced by infinite penalty at the bounds. A gradient term that introduces cost for boundaries and thereby regularizing the problem is also included in the objective functional. Conditions for stationarity of the functional are derived, and it is shown that the problem can be stated as a variational inequality or a max–min problem, both defining a double obstacle problem. The numerical examples used to demonstrate the method are solved using the FEM, whereas the double obstacle problem is solved using Howard's algorithm.

Publiceringsår

2013

Språk

Engelska

Sidor

43-59

Publikation/Tidskrift/Serie

International Journal for Numerical Methods in Engineering

Volym

94

Issue

1

Dokumenttyp

Artikel i tidskrift

Förlag

John Wiley & Sons Inc.

Ämne

  • Mechanical Engineering

Nyckelord

  • barrier functions
  • phase-field
  • topology optimization
  • double obstacle problems
  • variational inequality
  • Howard's algorithm

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1097-0207