Integral equation method for a Robin-type traction problem in a periodic domain

Autor: Riva, Matteo Dalla, Mishuris, Gennady, Musolino, Paolo
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: arXiv admin note: substantial text overlap with arXiv:1306.6177
Databáze: arXiv