Reference map technique for finite-strain elasticity and fluid-solid interaction
Author(s)Rycroft, Chris H.; Nave, Jean-Christophe; Kamrin, Kenneth N
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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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
Journal of the Mechanics and Physics of Solids
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.
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