A mechanical approach to solve two-dimensional static electrical and magnetic fields: Applications to contact between conductors under electrical load

S. Hao*, Q. Wang, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

A general approach has been developed to obtain analytical solutions to the boundaryvalue problems for a two-dimensional conductor under static electric and magnetic fields. This approach is based on a "congruity principle" between a solution of Maxwell's equation and the corresponding linear elastic plane stress solution with constant mean stress or plane strain solution with constant mean in-plane stress. It also leads to a new avenue to construct analytical solutions of antiplane strain boundary-value problems using plane stress/strain solutions, or vice versa, in linear elastic theory. This approach has been applied for such engineering problems as contact between two conducting solid bodies under electrical load.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Volume77
Issue number3
DOIs
StatePublished - Aug 10 2010

Keywords

  • Analytical antiplane strain solution
  • Conductor
  • Congruity principle
  • Contact
  • Electrical load
  • Magnetic field
  • Maxwell equation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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