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Design of stiff elasto-plastic structures

Granlund, Gunnar LU orcid and Wallin, Mathias LU (2026) In Computer Methods in Applied Mechanics and Engineering 450(118622).
Abstract
This study investigates “stiffness” optimization of path-dependent elasto-plastic structures by comparing the traditional secant stiffness formulation with a novel tangent stiffness formulation. Design updates are generated using the gradient-based Method of Moving Asymptotes (MMA), and the material behavior is modeled and limited to small-strain elasto-plasticity and isotropic hardening. Numerical examples compare and analyze the two stiffness definitions, revealing that they produce different designs and structural responses. Cross validation and comparison reveals that the secant stiffness optimized designs may have very low end tangent stiffness, and that the end tangent stiffness optimized designs may have very low secant stiffness,... (More)
This study investigates “stiffness” optimization of path-dependent elasto-plastic structures by comparing the traditional secant stiffness formulation with a novel tangent stiffness formulation. Design updates are generated using the gradient-based Method of Moving Asymptotes (MMA), and the material behavior is modeled and limited to small-strain elasto-plasticity and isotropic hardening. Numerical examples compare and analyze the two stiffness definitions, revealing that they produce different designs and structural responses. Cross validation and comparison reveals that the secant stiffness optimized designs may have very low end tangent stiffness, and that the end tangent stiffness optimized designs may have very low secant stiffness, showing that the two formulations can contradict each other for elasto-plastic structures. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Computer Methods in Applied Mechanics and Engineering
volume
450
issue
118622
pages
23 pages
publisher
Elsevier
ISSN
0045-7825
DOI
10.1016/j.cma.2025.118622
language
English
LU publication?
yes
id
c1407231-59e4-40bc-9ed8-d40f6dbca605
date added to LUP
2025-12-11 16:14:11
date last changed
2025-12-15 10:48:16
@article{c1407231-59e4-40bc-9ed8-d40f6dbca605,
  abstract     = {{This study investigates “stiffness” optimization of path-dependent elasto-plastic structures by comparing the traditional secant stiffness formulation with a novel tangent stiffness formulation. Design updates are generated using the gradient-based Method of Moving Asymptotes (MMA), and the material behavior is modeled and limited to small-strain elasto-plasticity and isotropic hardening. Numerical examples compare and analyze the two stiffness definitions, revealing that they produce different designs and structural responses. Cross validation and comparison reveals that the secant stiffness optimized designs may have very low end tangent stiffness, and that the end tangent stiffness optimized designs may have very low secant stiffness, showing that the two formulations can contradict each other for elasto-plastic structures.}},
  author       = {{Granlund, Gunnar and Wallin, Mathias}},
  issn         = {{0045-7825}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{118622}},
  publisher    = {{Elsevier}},
  series       = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{Design of stiff elasto-plastic structures}},
  url          = {{http://dx.doi.org/10.1016/j.cma.2025.118622}},
  doi          = {{10.1016/j.cma.2025.118622}},
  volume       = {{450}},
  year         = {{2026}},
}