Show simple item record

dc.contributor.authorCanevari, G.en_US
dc.contributor.authorHarris, Jen_US
dc.contributor.authorMajumdar, A.en_US
dc.contributor.authorWang, Y.en_US
dc.date.accessioned2020-07-14T06:07:44Z
dc.date.available2020-07-14T06:07:44Z
dc.date.issued2020-03-01
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1124
dc.description.abstractWe study nematic equilibria on three-dimensional square wells, with emphasis on Well Order Reconstruction Solutions (WORS) as a function of the well size, characterized by 𝜆, and the well height denoted by 𝜖. The WORS are distinctive equilibria reported in Kralj and Majumdar (2014) for square domains, without taking the third dimension into account, which have two mutually perpendicular defect lines running along the square diagonals, intersecting at the square center. We prove the existence of WORS on three-dimensional wells for arbitrary well heights, with (i) natural boundary conditions and (ii) realistic surface energies on the top and bottom well surfaces, along with Dirichlet conditions on the lateral surfaces. Moreover, the WORS is globally stable for 𝜆 small enough in both cases and unstable as 𝜆 increases. We numerically compute novel mixed 3D solutions for large 𝜆 and 𝜖 followed by a numerical investigation of the effects of surface anchoring on the WORS, exemplifying the relevance of the WORS solution in a 3D context.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherInternational Journal of Non-Linear Mechanicsen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectNematics Landau–de Gennes theory, Well Order Reconstruction Solution, Three-dimensional analysis, Surface anchoringen_US
dc.titleThe Well Order Reconstruction Solution for three-dimensional wells, in the Landau–de Gennes theoryen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.ijnonlinmec.2019.103342
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0020746218307212?via%3Dihuben_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82184-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España