Topology optimization for designing periodic microstructures based on finite strain visco-plasticity
(2018) 2018 IUTAM Symposium on When Topology Optimization Meets Additive Manufacturing - Theory and Methods p.84-86- Abstract
In the current work, we present a topology optimization framework for designing periodic microstructures with viscoplastic constitutive behavior under finite deformation. Materials with tailored macroscopic mechanical properties, i.e. maximum viscoplastic energy absorp- tion and prescribed Poisson's ratio, are designed by performing numerical tests of a single unit cell subjected to periodic boundary conditions. The kinematic and constitutive models are based on finite strain isotropic hardening viscoplasticity, and the mechanical balance laws are formulated in a total Lagrangian finite element setting. To solve the coupled momentum balance equation and constitutive equations, a nested Newton method is used together with an adaptive... (More)
In the current work, we present a topology optimization framework for designing periodic microstructures with viscoplastic constitutive behavior under finite deformation. Materials with tailored macroscopic mechanical properties, i.e. maximum viscoplastic energy absorp- tion and prescribed Poisson's ratio, are designed by performing numerical tests of a single unit cell subjected to periodic boundary conditions. The kinematic and constitutive models are based on finite strain isotropic hardening viscoplasticity, and the mechanical balance laws are formulated in a total Lagrangian finite element setting. To solve the coupled momentum balance equation and constitutive equations, a nested Newton method is used together with an adaptive time-stepping scheme. The optimization problem is iteratively solved using the method of moving asymptotes (MMA), where path-dependent sensitivities are derived using the adjoint method. The applicability of the framework is demonstrated by numerical examples of optimized continuum structures exposed to multiple load cases over a wide macroscopic strain range.
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- author
- Ivarsson, Niklas LU ; Wallin, Mathias LU and Tortorelli, Daniel
- organization
- publishing date
- 2018
- type
- Contribution to conference
- publication status
- published
- subject
- keywords
- Discrete adjoint sensitivity analysis, Finite strains, Material design, Rate-dependent plasticity, Topology optimization
- pages
- 3 pages
- conference name
- 2018 IUTAM Symposium on When Topology Optimization Meets Additive Manufacturing - Theory and Methods
- conference location
- Dalian, China
- conference dates
- 2018-10-07 - 2018-10-12
- external identifiers
-
- scopus:85092251847
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2018 IUTAM Symposium: When Topology Optimization Meets Additive Manufacturing - Theory and Methods. All rights reserved.
- id
- 27dcaae4-9209-4ca7-b4f6-63b77d89a292
- date added to LUP
- 2024-03-07 08:35:55
- date last changed
- 2024-03-08 10:15:12
@misc{27dcaae4-9209-4ca7-b4f6-63b77d89a292,
abstract = {{<p>In the current work, we present a topology optimization framework for designing periodic microstructures with viscoplastic constitutive behavior under finite deformation. Materials with tailored macroscopic mechanical properties, i.e. maximum viscoplastic energy absorp- tion and prescribed Poisson's ratio, are designed by performing numerical tests of a single unit cell subjected to periodic boundary conditions. The kinematic and constitutive models are based on finite strain isotropic hardening viscoplasticity, and the mechanical balance laws are formulated in a total Lagrangian finite element setting. To solve the coupled momentum balance equation and constitutive equations, a nested Newton method is used together with an adaptive time-stepping scheme. The optimization problem is iteratively solved using the method of moving asymptotes (MMA), where path-dependent sensitivities are derived using the adjoint method. The applicability of the framework is demonstrated by numerical examples of optimized continuum structures exposed to multiple load cases over a wide macroscopic strain range.</p>}},
author = {{Ivarsson, Niklas and Wallin, Mathias and Tortorelli, Daniel}},
keywords = {{Discrete adjoint sensitivity analysis; Finite strains; Material design; Rate-dependent plasticity; Topology optimization}},
language = {{eng}},
pages = {{84--86}},
title = {{Topology optimization for designing periodic microstructures based on finite strain visco-plasticity}},
year = {{2018}},
}