A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors
(2021) In Acta Mechanica 232(10). p.3939-3956- Abstract
Motivated by the influence of deformation-induced microcracks on the effective electrical properties at the macroscale, an electro-mechanically coupled computational multiscale formulation for electrical conductors is proposed. The formulation accounts for finite deformation processes and is a direct extension of the fundamental theoretical developments presented by Kaiser and Menzel (Arch Appl Mech 91:1509–1526, 2021) who assume a geometrically linearised setting. More specifically speaking, averaging theorems for the electric field quantities are proposed and boundary conditions that a priori fulfil the extended Hill–Mandel condition of the electro-mechanically coupled problem are discussed. A study of representative boundary value... (More)
Motivated by the influence of deformation-induced microcracks on the effective electrical properties at the macroscale, an electro-mechanically coupled computational multiscale formulation for electrical conductors is proposed. The formulation accounts for finite deformation processes and is a direct extension of the fundamental theoretical developments presented by Kaiser and Menzel (Arch Appl Mech 91:1509–1526, 2021) who assume a geometrically linearised setting. More specifically speaking, averaging theorems for the electric field quantities are proposed and boundary conditions that a priori fulfil the extended Hill–Mandel condition of the electro-mechanically coupled problem are discussed. A study of representative boundary value problems in two- and three-dimensional settings eventually shows the applicability of the proposed formulation and reveals the severe influence of microscale deformation processes on the effective electrical properties at the macroscale.
(Less)
- author
- Kaiser, T. and Menzel, A. LU
- organization
- publishing date
- 2021-10
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Acta Mechanica
- volume
- 232
- issue
- 10
- pages
- 18 pages
- publisher
- Springer
- external identifiers
-
- scopus:85111858717
- ISSN
- 0001-5970
- DOI
- 10.1007/s00707-021-03005-5
- language
- English
- LU publication?
- yes
- id
- 7e812c8f-4290-4163-bad6-0d9b8dd41914
- date added to LUP
- 2021-12-15 15:27:38
- date last changed
- 2022-04-27 06:44:14
@article{7e812c8f-4290-4163-bad6-0d9b8dd41914,
abstract = {{<p>Motivated by the influence of deformation-induced microcracks on the effective electrical properties at the macroscale, an electro-mechanically coupled computational multiscale formulation for electrical conductors is proposed. The formulation accounts for finite deformation processes and is a direct extension of the fundamental theoretical developments presented by Kaiser and Menzel (Arch Appl Mech 91:1509–1526, 2021) who assume a geometrically linearised setting. More specifically speaking, averaging theorems for the electric field quantities are proposed and boundary conditions that a priori fulfil the extended Hill–Mandel condition of the electro-mechanically coupled problem are discussed. A study of representative boundary value problems in two- and three-dimensional settings eventually shows the applicability of the proposed formulation and reveals the severe influence of microscale deformation processes on the effective electrical properties at the macroscale.</p>}},
author = {{Kaiser, T. and Menzel, A.}},
issn = {{0001-5970}},
language = {{eng}},
number = {{10}},
pages = {{3939--3956}},
publisher = {{Springer}},
series = {{Acta Mechanica}},
title = {{A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors}},
url = {{http://dx.doi.org/10.1007/s00707-021-03005-5}},
doi = {{10.1007/s00707-021-03005-5}},
volume = {{232}},
year = {{2021}},
}