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:
https://lup.lub.lu.se/record/5434305
- author
- Wallin, Mathias
LU
; Ivarsson, Niklas
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2015
- type
- Contribution to journal
- 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 Inc.
- external identifiers
-
- wos:000363409600004
- scopus:84945470741
- ISSN
- 1097-0207
- DOI
- 10.1002/nme.4962
- project
- Design of functionalized advanced polymer materials using optimisation techniques
- language
- English
- LU publication?
- yes
- id
- 52993c9a-0250-415d-9348-df3162b0eef1 (old id 5434305)
- date added to LUP
- 2016-04-01 10:45:32
- date last changed
- 2024-02-07 08:23:05
@article{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}},
keywords = {{Topology optimization; Muliti-material; Finite strain}},
language = {{eng}},
number = {{9}},
pages = {{887--904}},
publisher = {{John Wiley & Sons Inc.}},
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}},
doi = {{10.1002/nme.4962}},
volume = {{104}},
year = {{2015}},
}