A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors

T. Kaiser, A. Menzel

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Sammanfattning

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.

Originalspråkengelska
Sidor (från-till)3939-3956
Antal sidor18
TidskriftActa Mechanica
Volym232
Utgåva10
DOI
StatusPublished - 2021 okt.

Ämnesklassifikation (UKÄ)

  • Teknisk mekanik

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