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.

Optimal topologies derived from a phase-field method

In English

Författare

Summary, in English

Abstract in Undetermined
A topology optimization method allowing for perimeter control is presented. The approach is based on a functional that takes the material density and the strain field as arguments. The cost for surfaces is included in the functional that is minimized. Diffuse designs are avoided by introducing a penalty term in the functional that is minimized. Equilibrium and a volume constraint are enforced via a Lagrange multiplier technique. The extremum to the functional is found by use of the Cahn–Hilliard phase-field method. It is shown that the optimization problem is suitable for finite element implementation and the FE-formulation is discussed in detail. In the numerical examples provided, the influence of surface penalization is investigated. It is shown that the perimeter of the structure can be controlled using the proposed scheme.

Avdelning/ar

Publiceringsår

2012

Språk

Engelska

Sidor

171-183

Publikation/Tidskrift/Serie

Structural and Multidisciplinary Optimization

Volym

45

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

Springer

Ämne

  • Mechanical Engineering

Nyckelord

  • Topology optimization
  • Phase-field
  • Cahn–Hilliard

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1615-1488