Evaluation of the influence tensor of two disks in a periodic setting through the Poisson summation formula

DOI

The goal of the calculations presented here is to show numerically that in a periodic setting, the influence tensor of two disks can be expressed as a sum in the real space of the influence tensors of the first disk with all periodic images of the second disk (these interactions being evaluated with boundary conditions at infinity). This result was first published heuristically by Zecevic et Lebenson (2021, DOI:10.1002/nme.6841). However, we show that the published formula is not correct and propose a (heuristic) correction that was introduced in (Brisard, Bertin and Legoll, 2023). The corrected formula is then asserted numerically. See 00-README.html for more details.

Identifier
DOI https://doi.org/10.57745/EKZGIL
Metadata Access https://entrepot.recherche.data.gouv.fr/oai?verb=GetRecord&metadataPrefix=oai_datacite&identifier=doi:10.57745/EKZGIL
Provenance
Creator Brisard, Sébastien; Legoll, Frédéric; Bertin, Michaël
Publisher Recherche Data Gouv
Contributor Brisard, Sébastien; Université Gustave Eiffel; Ecole des Ponts Paris Tech
Publication Year 2023
Funding Reference Labex MMCD, Multi-Scale Modelling & Experimentation of Materials for Sustainable Construction ANR-11-LABX-022-01
Rights info:eu-repo/semantics/openAccess
OpenAccess true
Contact Brisard, Sébastien (Navier, Ecole des Ponts, Univ Gustave Eiffel, CNRS, Marne-la-Vallée, France)
Representation
Resource Type Dataset
Format text/html; image/png; application/octet-stream; application/vnd.dynageo; text/tab-separated-values; text/markdown
Size 10329; 14298; 18478; 16006; 21320; 715; 1150; 422; 547; 1098; 1406; 51508; 7185
Version 1.1
Discipline Engineering Sciences