Integral Equation Method for a Robin-Type Traction Problem in a Periodic Domain

Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
40 Downloads (Pure)

Abstract

In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the solution we use periodic elastic layer potentials to show that the solution can be written as the sum of a single layer potential, a constant function and a linear function of the space variable. The density of the periodic single layer potential and the constant are identified as the unique solutions of a certain integral equation.

Original languageEnglish
Pages (from-to)349-360
Number of pages12
JournalTransactions of A. Razmadze Mathematical Institute
Volume176
Issue number3
Publication statusPublished - 31 Dec 2022

Keywords

  • Robin boundary value problem
  • Integral representations
  • Integral operators
  • Integral equations methods
  • Linearized elastostatics
  • Periodic domain
  • TRANSMISSION CONDITIONS
  • EFFECTIVE CONDUCTIVITY
  • HEAT-CONDUCTION
  • INTERFACE
  • INTERPHASE
  • COMPOSITE
  • EXPANSION
  • CRACKS
  • MODEL

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