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

Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino*

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

1 Dyfyniadau(SciVal)
33 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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.

Iaith wreiddiolSaesneg
Tudalennau (o-i)349-360
Nifer y tudalennau12
CyfnodolynTransactions of A. Razmadze Mathematical Institute
Cyfrol176
Rhif cyhoeddi3
StatwsCyhoeddwyd - 31 Rhag 2022

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