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Anisotropic deformation plasticity for efficient topology optimization

Dar, Sobhan LU ; N’Dao, Zacharia ; Ristinmaa, Matti LU orcid and Wallin, Mathias LU (2026) In Structural and Multidisciplinary Optimization 69(8).
Abstract

We present a topology optimization framework for anisotropic elastoplastic structures based on a new deformation plasticity formulation derived directly from Hill’s yield criterion. Conventional incremental elastoplastic approaches in topology optimization, while accurate, are computationally demanding due to their path-dependent nature and the need to store internal variables over multiple load steps. The proposed Hill-based deformation plasticity formulation enables single-step loading and direct computation of the final equilibrium state, thereby eliminating path dependence and substantially reducing computational cost and memory requirements. The formulation is embedded within a density-based topology optimization framework with... (More)

We present a topology optimization framework for anisotropic elastoplastic structures based on a new deformation plasticity formulation derived directly from Hill’s yield criterion. Conventional incremental elastoplastic approaches in topology optimization, while accurate, are computationally demanding due to their path-dependent nature and the need to store internal variables over multiple load steps. The proposed Hill-based deformation plasticity formulation enables single-step loading and direct computation of the final equilibrium state, thereby eliminating path dependence and substantially reducing computational cost and memory requirements. The formulation is embedded within a density-based topology optimization framework with stiffness maximization as the design objective. Numerical examples demonstrate the effectiveness of the proposed approach, validate the proportional loading assumption, and illustrate its applicability to realistic structural design problems. The results establish the Hill-based deformation plasticity formulation as a computationally efficient and robust alternative to conventional incremental elastoplastic methods.

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Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Deformation plasticity, Non-linear elasticity, Topology optimization
in
Structural and Multidisciplinary Optimization
volume
69
issue
8
article number
193
publisher
Springer
external identifiers
  • scopus:105046411281
ISSN
1615-147X
DOI
10.1007/s00158-026-04397-5
language
English
LU publication?
yes
additional info
Publisher Copyright: © The Author(s) 2026.
id
0260aae0-a749-44c2-9492-f42cae33047f
date added to LUP
2026-09-03 12:10:18
date last changed
2026-09-08 11:26:32
@article{0260aae0-a749-44c2-9492-f42cae33047f,
  abstract     = {{<p>We present a topology optimization framework for anisotropic elastoplastic structures based on a new deformation plasticity formulation derived directly from Hill’s yield criterion. Conventional incremental elastoplastic approaches in topology optimization, while accurate, are computationally demanding due to their path-dependent nature and the need to store internal variables over multiple load steps. The proposed Hill-based deformation plasticity formulation enables single-step loading and direct computation of the final equilibrium state, thereby eliminating path dependence and substantially reducing computational cost and memory requirements. The formulation is embedded within a density-based topology optimization framework with stiffness maximization as the design objective. Numerical examples demonstrate the effectiveness of the proposed approach, validate the proportional loading assumption, and illustrate its applicability to realistic structural design problems. The results establish the Hill-based deformation plasticity formulation as a computationally efficient and robust alternative to conventional incremental elastoplastic methods.</p>}},
  author       = {{Dar, Sobhan and N’Dao, Zacharia and Ristinmaa, Matti and Wallin, Mathias}},
  issn         = {{1615-147X}},
  keywords     = {{Deformation plasticity; Non-linear elasticity; Topology optimization}},
  language     = {{eng}},
  number       = {{8}},
  publisher    = {{Springer}},
  series       = {{Structural and Multidisciplinary Optimization}},
  title        = {{Anisotropic deformation plasticity for efficient topology optimization}},
  url          = {{http://dx.doi.org/10.1007/s00158-026-04397-5}},
  doi          = {{10.1007/s00158-026-04397-5}},
  volume       = {{69}},
  year         = {{2026}},
}