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A thermo-electro-mechanically coupled cohesive zone formulation for predicting interfacial damage

Güzel, Dilek ; Kaiser, Tobias and Menzel, Andreas LU (2023) In European Journal of Mechanics, A/Solids 99.
Abstract

Material interfaces can occur at different material length scales. Understanding the properties and the behaviour of interfaces is of utmost importance because interfaces can significantly influence the effective constitutive response of the material under consideration. Based on the fundamentals of electro-mechanically coupled cohesive zone formulations for electrical conductors and on the associated finite element framework proposed in Kaiser and Menzel(2021), a thermo-electro-mechanically coupled cohesive zone formulation is established in this article. To this end, the governing equations of continuum thermodynamics for materials with interfaces under combined mechanical, thermal, and electrical loads are derived. A damage variable... (More)

Material interfaces can occur at different material length scales. Understanding the properties and the behaviour of interfaces is of utmost importance because interfaces can significantly influence the effective constitutive response of the material under consideration. Based on the fundamentals of electro-mechanically coupled cohesive zone formulations for electrical conductors and on the associated finite element framework proposed in Kaiser and Menzel(2021), a thermo-electro-mechanically coupled cohesive zone formulation is established in this article. To this end, the governing equations of continuum thermodynamics for materials with interfaces under combined mechanical, thermal, and electrical loads are derived. A damage variable is introduced to account for the evolution of interface damage in a thermodynamically consistent way. Motivated by deformation-induced property changes, the effective thermal and electrical conductivities are moreover assumed to be functions of the damage variable. Finally, analytical solutions are derived to validate the finite element formulation, and representative boundary value problems are studied so as to reveal key properties of the proposed cohesive-zone framework.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cohesive zone formulation, Damage, Interface modelling, Thermo-electro-mechanical coupling
in
European Journal of Mechanics, A/Solids
volume
99
article number
104935
publisher
Elsevier
external identifiers
  • scopus:85147607638
ISSN
0997-7538
DOI
10.1016/j.euromechsol.2023.104935
language
English
LU publication?
yes
id
3e6ab600-0a92-4025-9684-f9ec7e8fed19
date added to LUP
2023-03-10 11:29:21
date last changed
2023-03-10 11:29:21
@article{3e6ab600-0a92-4025-9684-f9ec7e8fed19,
  abstract     = {{<p>Material interfaces can occur at different material length scales. Understanding the properties and the behaviour of interfaces is of utmost importance because interfaces can significantly influence the effective constitutive response of the material under consideration. Based on the fundamentals of electro-mechanically coupled cohesive zone formulations for electrical conductors and on the associated finite element framework proposed in Kaiser and Menzel(2021), a thermo-electro-mechanically coupled cohesive zone formulation is established in this article. To this end, the governing equations of continuum thermodynamics for materials with interfaces under combined mechanical, thermal, and electrical loads are derived. A damage variable is introduced to account for the evolution of interface damage in a thermodynamically consistent way. Motivated by deformation-induced property changes, the effective thermal and electrical conductivities are moreover assumed to be functions of the damage variable. Finally, analytical solutions are derived to validate the finite element formulation, and representative boundary value problems are studied so as to reveal key properties of the proposed cohesive-zone framework.</p>}},
  author       = {{Güzel, Dilek and Kaiser, Tobias and Menzel, Andreas}},
  issn         = {{0997-7538}},
  keywords     = {{Cohesive zone formulation; Damage; Interface modelling; Thermo-electro-mechanical coupling}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{Elsevier}},
  series       = {{European Journal of Mechanics, A/Solids}},
  title        = {{A thermo-electro-mechanically coupled cohesive zone formulation for predicting interfacial damage}},
  url          = {{http://dx.doi.org/10.1016/j.euromechsol.2023.104935}},
  doi          = {{10.1016/j.euromechsol.2023.104935}},
  volume       = {{99}},
  year         = {{2023}},
}