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Topology optimization based on finite strain plasticity

Wallin, Mathias LU ; Jönsson, Viktor and Wingren, Eric LU (2016) In Structural and Multidisciplinary Optimization p.1-11
Abstract

In this paper infinitesimal elasto-plastic based topology optimization is extended to finite strains. The employed model is based on rate-independent isotropic hardening plasticity and to separate the elastic deformation from the plastic deformation, use is made of the multiplicative split of the deformation gradient. The mechanical balance laws are solved using an implicit total Lagrangian formulation. The optimization problem is solved using the method of moving asymptotes and the sensitivity required to form convex separable approximations is derived using a path-dependent adjoint strategy. The optimization problem is regularized using a PDE-type filter. A simple boundary value problem where the plastic work is maximized is used to... (More)

In this paper infinitesimal elasto-plastic based topology optimization is extended to finite strains. The employed model is based on rate-independent isotropic hardening plasticity and to separate the elastic deformation from the plastic deformation, use is made of the multiplicative split of the deformation gradient. The mechanical balance laws are solved using an implicit total Lagrangian formulation. The optimization problem is solved using the method of moving asymptotes and the sensitivity required to form convex separable approximations is derived using a path-dependent adjoint strategy. The optimization problem is regularized using a PDE-type filter. A simple boundary value problem where the plastic work is maximized is used to demonstrate the capability of the presented model. The numerical examples reveal that finite strain plasticity successfully can be combined with topology optimization.

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author
organization
publishing date
type
Contribution to journal
publication status
in press
subject
keywords
Finite strain plasticity, Topology optimization, Transient adjoint sensitivity
in
Structural and Multidisciplinary Optimization
pages
11 pages
publisher
Springer
external identifiers
  • Scopus:84964319007
ISSN
1615-147X
DOI
10.1007/s00158-016-1435-0
language
English
LU publication?
yes
id
d90f1aa5-cc72-4498-bb0d-ff2146b75ed4
date added to LUP
2016-09-30 13:47:54
date last changed
2016-09-30 13:47:54
@misc{d90f1aa5-cc72-4498-bb0d-ff2146b75ed4,
  abstract     = {<p>In this paper infinitesimal elasto-plastic based topology optimization is extended to finite strains. The employed model is based on rate-independent isotropic hardening plasticity and to separate the elastic deformation from the plastic deformation, use is made of the multiplicative split of the deformation gradient. The mechanical balance laws are solved using an implicit total Lagrangian formulation. The optimization problem is solved using the method of moving asymptotes and the sensitivity required to form convex separable approximations is derived using a path-dependent adjoint strategy. The optimization problem is regularized using a PDE-type filter. A simple boundary value problem where the plastic work is maximized is used to demonstrate the capability of the presented model. The numerical examples reveal that finite strain plasticity successfully can be combined with topology optimization.</p>},
  author       = {Wallin, Mathias and Jönsson, Viktor and Wingren, Eric},
  issn         = {1615-147X},
  keyword      = {Finite strain plasticity,Topology optimization,Transient adjoint sensitivity},
  language     = {eng},
  month        = {04},
  pages        = {1--11},
  publisher    = {ARRAY(0xa6a7430)},
  series       = {Structural and Multidisciplinary Optimization},
  title        = {Topology optimization based on finite strain plasticity},
  url          = {http://dx.doi.org/10.1007/s00158-016-1435-0},
  year         = {2016},
}