Reference map technique for finite-strain elasticity and fluid-solid interaction
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ref_map_FSI_submit_revise.pdf
Size
6.26 MB
Format
Adobe PDF
Checksum (MD5)
d9442629f45abfadac4f97a21fc0714a
Author(s)
Rycroft, Chris H.
Nave, Jean-Christophe
Kamrin, Kenneth N
Date Issued
June 2012
Journal
Journal of the Mechanics and Physics of Solids
Publisher
Elsevier
Citation
Kamrin, Ken, Chris H. Rycroft, and Jean-Christophe Nave. "Reference map technique for finite-strain elasticity and fluid-solid interaction." Journal of the Mechanics and Physics of Solids 60:11 (November 2012), pp. 1952-1969.
Version
Author's final manuscript
Abstract
The reference map, defined as the inverse motion function, is utilized in an Eulerian-frame representation of continuum solid mechanics, leading to a simple, explicit finite-difference method for solids undergoing finite deformations. We investigate the accuracy and applicability of the technique for a range of finite-strain elasticity laws under various geometries and loadings. Capacity to model dynamic, static, and quasi-static conditions is shown. Specifications of the approach are demonstrated for handling irregularly shaped and/or moving boundaries, as well as shock solutions. The technique is also integrated within a fluid–solid framework using a level-set to discern phases and using a standard explicit fluid solver for the fluid phases. We employ a sharp-interface method to institute the interfacial conditions, and the resulting scheme is shown to efficiently capture fluid–solid interaction solutions in several examples.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.jmps.2012.06.003
