Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

An electro-mechanically coupled computational multiscale formulation for electrical conductors

Kaiser, T. and Menzel, A. LU (2021) In Archive of Applied Mechanics 91(4). p.1509-1526
Abstract

Motivated by experimental findings on deformation induced microcracks in thin metal films and by their influence on the effective macroscopic electrical conductivity, a computational multiscale formulation for electrical conductors is proposed in this contribution. In particular, averaging theorems for kinematic quantities and for their energetic duals are discussed, an extended version of the Hill–Mandel energy equivalence condition is proposed and suitable boundary conditions for the microscale problem are elaborated. The implementation of the proposed framework in a two-scale finite element environment is shown and representative boundary value problems are studied in two- and three-dimensional settings.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Anisotropic conductivity, Conductors, Electro-mechanical coupling, Flexible electronic devices, Heterogeneous microstructures, Multiscale modelling, Scale-bridging
in
Archive of Applied Mechanics
volume
91
issue
4
pages
18 pages
publisher
Springer
external identifiers
  • scopus:85097562191
ISSN
0939-1533
DOI
10.1007/s00419-020-01837-6
language
English
LU publication?
yes
id
64a71827-d242-40be-aef2-d976e4965e9e
date added to LUP
2020-12-22 12:36:28
date last changed
2022-04-26 22:47:29
@article{64a71827-d242-40be-aef2-d976e4965e9e,
  abstract     = {{<p>Motivated by experimental findings on deformation induced microcracks in thin metal films and by their influence on the effective macroscopic electrical conductivity, a computational multiscale formulation for electrical conductors is proposed in this contribution. In particular, averaging theorems for kinematic quantities and for their energetic duals are discussed, an extended version of the Hill–Mandel energy equivalence condition is proposed and suitable boundary conditions for the microscale problem are elaborated. The implementation of the proposed framework in a two-scale finite element environment is shown and representative boundary value problems are studied in two- and three-dimensional settings.</p>}},
  author       = {{Kaiser, T. and Menzel, A.}},
  issn         = {{0939-1533}},
  keywords     = {{Anisotropic conductivity; Conductors; Electro-mechanical coupling; Flexible electronic devices; Heterogeneous microstructures; Multiscale modelling; Scale-bridging}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{4}},
  pages        = {{1509--1526}},
  publisher    = {{Springer}},
  series       = {{Archive of Applied Mechanics}},
  title        = {{An electro-mechanically coupled computational multiscale formulation for electrical conductors}},
  url          = {{http://dx.doi.org/10.1007/s00419-020-01837-6}},
  doi          = {{10.1007/s00419-020-01837-6}},
  volume       = {{91}},
  year         = {{2021}},
}