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A computational multiscale approach towards the modelling of microstructures with material interfaces in electrical conductors

Güzel, Dilek ; Kaiser, Tobias and Menzel, Andreas LU (2023) In Mathematics and Mechanics of Solids
Abstract

Motivated by the change of effective electrical properties grain or phase boundaries, a computational multiscale framework for continua with interfaces at the microscale is proposed. Cohesive-type interfaces are considered at the microscale, such that displacement and electrical potential jumps are accounted for. The governing equations for materials with interfaces under mechanical and electrical loads are provided. Based on these, a computational multiscale formulation is proposed. The coupling between the electrical and mechanical subproblem is established by the constitutive equations at the material interface. In order to investigate deformation-induced property changes at the microscale, the evolution of interface damage is... (More)

Motivated by the change of effective electrical properties grain or phase boundaries, a computational multiscale framework for continua with interfaces at the microscale is proposed. Cohesive-type interfaces are considered at the microscale, such that displacement and electrical potential jumps are accounted for. The governing equations for materials with interfaces under mechanical and electrical loads are provided. Based on these, a computational multiscale formulation is proposed. The coupling between the electrical and mechanical subproblem is established by the constitutive equations at the material interface. In order to investigate deformation-induced property changes at the microscale, the evolution of interface damage is elaborated. The proposed multiscale framework is further examined through various representative boundary value problems so as to identify its key properties.

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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
epub
subject
keywords
cohesive-zone formulations, damage, Electrical conductors, homogenisation, multiscale formulations, size effect
in
Mathematics and Mechanics of Solids
publisher
SAGE Publications
external identifiers
  • scopus:85176147299
ISSN
1081-2865
DOI
10.1177/10812865231202721
language
English
LU publication?
yes
id
ac2623a0-e34e-4a73-9ffc-40835896f7d4
date added to LUP
2023-11-24 14:27:33
date last changed
2023-11-24 14:28:28
@article{ac2623a0-e34e-4a73-9ffc-40835896f7d4,
  abstract     = {{<p>Motivated by the change of effective electrical properties grain or phase boundaries, a computational multiscale framework for continua with interfaces at the microscale is proposed. Cohesive-type interfaces are considered at the microscale, such that displacement and electrical potential jumps are accounted for. The governing equations for materials with interfaces under mechanical and electrical loads are provided. Based on these, a computational multiscale formulation is proposed. The coupling between the electrical and mechanical subproblem is established by the constitutive equations at the material interface. In order to investigate deformation-induced property changes at the microscale, the evolution of interface damage is elaborated. The proposed multiscale framework is further examined through various representative boundary value problems so as to identify its key properties.</p>}},
  author       = {{Güzel, Dilek and Kaiser, Tobias and Menzel, Andreas}},
  issn         = {{1081-2865}},
  keywords     = {{cohesive-zone formulations; damage; Electrical conductors; homogenisation; multiscale formulations; size effect}},
  language     = {{eng}},
  publisher    = {{SAGE Publications}},
  series       = {{Mathematics and Mechanics of Solids}},
  title        = {{A computational multiscale approach towards the modelling of microstructures with material interfaces in electrical conductors}},
  url          = {{http://dx.doi.org/10.1177/10812865231202721}},
  doi          = {{10.1177/10812865231202721}},
  year         = {{2023}},
}