A user material approach for the solution of multi-field problems in Abaqus : Theoretical foundations, gradient-enhanced damage mechanics and thermo-mechanical coupling
(2024) In Finite Elements in Analysis and Design 232.- Abstract
The solution of multi-field problems and the numerical implementation by means of the finite element method constitute a sophisticated part of the characterisation of industrial processes. A comprehensive implementation framework for such a system of coupled field equations into a non-linear large strain finite element formulation is provided. The procedure is derived for a micromorphic approach in a thermo-mechanical setting. Although the provided framework contributes to a particular three-field problem it is not limited to a specific application or a specific number of coupled field equations from a conceptual point of view. The solution of the considered system of equations is separated into two coupled domains, with the balance of... (More)
The solution of multi-field problems and the numerical implementation by means of the finite element method constitute a sophisticated part of the characterisation of industrial processes. A comprehensive implementation framework for such a system of coupled field equations into a non-linear large strain finite element formulation is provided. The procedure is derived for a micromorphic approach in a thermo-mechanical setting. Although the provided framework contributes to a particular three-field problem it is not limited to a specific application or a specific number of coupled field equations from a conceptual point of view. The solution of the considered system of equations is separated into two coupled domains, with the balance of linear momentum and a balance equation of heat equation-type being solved on each of them. Since both, the balance of micromorphic momentum and the heat balance equation, are partial differential equations of Laplace-type, the resulting two-instance problem can be solved in the framework of commercial finite element software, such as Abaqus, based on a thermo-mechanical user material. To assess the framework for a particular constitutive model, a gradient-enhanced damage model in a thermo-mechanical setting is applied and representative simulation results are discussed. The Abaqus framework is made available as an open-source code on GitHub (https://github.com/InstituteOfMechanics/Thermomechanical_Gradient_Enhanced_Damage_UMAT).
(Less)
- author
- Sobisch, Lennart ; Kaiser, Tobias ; Furlan, Tim and Menzel, Andreas LU
- organization
- publishing date
- 2024-05
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Abaqus, Finite deformation thermomechanics, GitHub, Gradient-enhanced damage, Micromorphic approach, Multi-field problem
- in
- Finite Elements in Analysis and Design
- volume
- 232
- article number
- 104105
- publisher
- Elsevier
- external identifiers
-
- scopus:85182260607
- ISSN
- 0168-874X
- DOI
- 10.1016/j.finel.2023.104105
- language
- English
- LU publication?
- yes
- id
- 8ed21a53-3106-40dd-930c-a20bf972f398
- date added to LUP
- 2024-02-22 10:43:28
- date last changed
- 2024-02-22 10:44:51
@article{8ed21a53-3106-40dd-930c-a20bf972f398,
abstract = {{<p>The solution of multi-field problems and the numerical implementation by means of the finite element method constitute a sophisticated part of the characterisation of industrial processes. A comprehensive implementation framework for such a system of coupled field equations into a non-linear large strain finite element formulation is provided. The procedure is derived for a micromorphic approach in a thermo-mechanical setting. Although the provided framework contributes to a particular three-field problem it is not limited to a specific application or a specific number of coupled field equations from a conceptual point of view. The solution of the considered system of equations is separated into two coupled domains, with the balance of linear momentum and a balance equation of heat equation-type being solved on each of them. Since both, the balance of micromorphic momentum and the heat balance equation, are partial differential equations of Laplace-type, the resulting two-instance problem can be solved in the framework of commercial finite element software, such as Abaqus, based on a thermo-mechanical user material. To assess the framework for a particular constitutive model, a gradient-enhanced damage model in a thermo-mechanical setting is applied and representative simulation results are discussed. The Abaqus framework is made available as an open-source code on GitHub (https://github.com/InstituteOfMechanics/Thermomechanical_Gradient_Enhanced_Damage_UMAT).</p>}},
author = {{Sobisch, Lennart and Kaiser, Tobias and Furlan, Tim and Menzel, Andreas}},
issn = {{0168-874X}},
keywords = {{Abaqus; Finite deformation thermomechanics; GitHub; Gradient-enhanced damage; Micromorphic approach; Multi-field problem}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Finite Elements in Analysis and Design}},
title = {{A user material approach for the solution of multi-field problems in Abaqus : Theoretical foundations, gradient-enhanced damage mechanics and thermo-mechanical coupling}},
url = {{http://dx.doi.org/10.1016/j.finel.2023.104105}},
doi = {{10.1016/j.finel.2023.104105}},
volume = {{232}},
year = {{2024}},
}