A “poor-man's” deformation plasticity based approach to topology optimization of elastoplastic structures
Li, Kai ; Wallin, Mathias LU ; Ristinmaa, Matti LU
and Cheng, Gengdong
(2024)
In International Journal of Solids and Structures
305.
- Abstract
This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology... (More)
This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology optimization, we compare three common elastoplastic optimization objectives: stiffness, strain energy and plastic work. The possibility to limit the peak local plastic work while maximizing the strain energy is also investigated. The consistent analytical sensitivity analysis which only requires the terminal state is derived using adjoint method. Numerical examples demonstrate that the proportionality assumption is reasonable and the deformation plasticity model combined with topology optimization is a competitive alternative to cumbersome incremental elastoplasticity.
(Less)
- author
- Li, Kai
; Wallin, Mathias
LU
; Ristinmaa, Matti
LU
and Cheng, Gengdong
- organization
- publishing date
- 2024-12
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Deformation plasticity, Elastoplastic topology optimization, Nonlinear elasticity, Plastic work, Sensitivity analysis
- in
- International Journal of Solids and Structures
- volume
- 305
- article number
- 113056
- publisher
- Elsevier
- external identifiers
-
- scopus:85203406395
- ISSN
- 0020-7683
- DOI
- 10.1016/j.ijsolstr.2024.113056
- language
- English
- LU publication?
- yes
- id
- 6fe68993-9aaa-4dc0-bddf-0b320ca4fb2d
- date added to LUP
- 2024-11-12 17:29:17
- date last changed
- 2025-04-04 14:34:30
@article{6fe68993-9aaa-4dc0-bddf-0b320ca4fb2d,
abstract = {{<p>This paper presents a topology optimization framework utilizing a deformation plasticity model to approximate the isotropic hardening von-Mises incremental elastoplasticity model under monotone proportional loading. One advantage of the model is that it is based on a yield surface allowing for precise matching to uniaxial elastoplastic isotropic hardening response. The deformation plasticity model and the incremental plasticity model coincides for proportional loading and since the deformation plasticity model is path-independent, the computational cost and implementation complexity reduce significantly compared to the conventional incremental elastoplasticity. To investigate the deformation plasticity model combined with topology optimization, we compare three common elastoplastic optimization objectives: stiffness, strain energy and plastic work. The possibility to limit the peak local plastic work while maximizing the strain energy is also investigated. The consistent analytical sensitivity analysis which only requires the terminal state is derived using adjoint method. Numerical examples demonstrate that the proportionality assumption is reasonable and the deformation plasticity model combined with topology optimization is a competitive alternative to cumbersome incremental elastoplasticity.</p>}},
author = {{Li, Kai and Wallin, Mathias and Ristinmaa, Matti and Cheng, Gengdong}},
issn = {{0020-7683}},
keywords = {{Deformation plasticity; Elastoplastic topology optimization; Nonlinear elasticity; Plastic work; Sensitivity analysis}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{International Journal of Solids and Structures}},
title = {{A “poor-man's” deformation plasticity based approach to topology optimization of elastoplastic structures}},
url = {{http://dx.doi.org/10.1016/j.ijsolstr.2024.113056}},
doi = {{10.1016/j.ijsolstr.2024.113056}},
volume = {{305}},
year = {{2024}},
}