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Large strain phase-field based multi-material topology optimization

Wallin, Mathias LU ; Ivarsson, Niklas LU and Ristinmaa, Matti LU (2015) In International Journal for Numerical Methods in Engineering 104(9). p.887-904
Abstract
A multi‐material topology optimization scheme is presented. The formulation includes an arbitrary number of phases with different mechanical properties. To ensure that the sum of the volume fractions is unity and in order to avoid negative phase fractions, an obstacle potential function, which introduces infinity penalty for negative densities, is utilized. The problem is formulated for nonlinear deformations, and the objective of the optimization is the end displacement. The boundary value problems associated with the optimization problem and the equilibrium equation are solved using the finite element method. To illustrate the possibilities of the method, it is applied to a simple boundary value problem where optimal designs using... (More)
A multi‐material topology optimization scheme is presented. The formulation includes an arbitrary number of phases with different mechanical properties. To ensure that the sum of the volume fractions is unity and in order to avoid negative phase fractions, an obstacle potential function, which introduces infinity penalty for negative densities, is utilized. The problem is formulated for nonlinear deformations, and the objective of the optimization is the end displacement. The boundary value problems associated with the optimization problem and the equilibrium equation are solved using the finite element method. To illustrate the possibilities of the method, it is applied to a simple boundary value problem where optimal designs using multiple phases are considered. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to specialist publication or newspaper
publication status
published
subject
keywords
Topology optimization, Muliti-material, Finite strain
in
International Journal for Numerical Methods in Engineering
volume
104
issue
9
pages
17 pages
publisher
John Wiley & Sons
external identifiers
  • wos:000363409600004
  • scopus:84945470741
ISSN
1097-0207
DOI
10.1002/nme.4962
language
English
LU publication?
yes
id
52993c9a-0250-415d-9348-df3162b0eef1 (old id 5434305)
date added to LUP
2015-06-02 12:55:59
date last changed
2019-07-09 01:25:59
@misc{52993c9a-0250-415d-9348-df3162b0eef1,
  abstract     = {A multi‐material topology optimization scheme is presented. The formulation includes an arbitrary number of phases with different mechanical properties. To ensure that the sum of the volume fractions is unity and in order to avoid negative phase fractions, an obstacle potential function, which introduces infinity penalty for negative densities, is utilized. The problem is formulated for nonlinear deformations, and the objective of the optimization is the end displacement. The boundary value problems associated with the optimization problem and the equilibrium equation are solved using the finite element method. To illustrate the possibilities of the method, it is applied to a simple boundary value problem where optimal designs using multiple phases are considered. },
  author       = {Wallin, Mathias and Ivarsson, Niklas and Ristinmaa, Matti},
  issn         = {1097-0207},
  keyword      = {Topology optimization,Muliti-material,Finite strain},
  language     = {eng},
  number       = {9},
  pages        = {887--904},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Engineering},
  title        = {Large strain phase-field based multi-material topology optimization},
  url          = {http://dx.doi.org/10.1002/nme.4962},
  volume       = {104},
  year         = {2015},
}