Numerical simulation of solid deformation driven by creeping flow using an immersed finite element method
Financiación FP7 / Fp7 Funds
Resumen: An immersed finite element method for solid–fluid interaction is presented with application focus on highly deformable elastic bodies in a Stokes flow environment. The method is based on a global balance equation which combines the solid and fluid momentum balances, the fluid mass balance and, in weak form, the interface conditions. By means of an Updated Lagrangian description for finite elasticity, only one analysis mesh is used, where the solid particles are backtracked in order to preserve the deformation history. The method results in a full coupling of the solid-fluid system which is solved by an exact Newton method. The location of the material interface is captured by a signed distance function and updated according to the computed displacement increments and the help of an explicit surface parameterisation; no body-fitted volume meshes are needed. Special emphasis is placed on the accurate integration of finite elements traversed by the interface and the related numerical stability of the shape function basis. A number of applications for compressible Neo-Hookean solids subject to creeping flow are presented, motivated by microfluidic experimentation in mechanobiology.
Idioma: Inglés
DOI: 10.1186/s40323-016-0061-0
Año: 2016
Publicado en: Advanced modeling and simulation in engineering sciences 3, 9 (2016), [31 pp.]
ISSN: 2213-7467

Factor impacto SCIMAGO: 0.0 - Applied Mathematics - Modeling and Simulation - Engineering (miscellaneous) - Computer Science Applications

Financiación: info:eu-repo/grantAgreement/EUR/FP7/ERC2012-StG-306751
Financiación: info:eu-repo/grantAgreement/ES/MINECO/DPI2012-38090-C03-01
Tipo y forma: Artículo (Versión definitiva)
Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)

Creative Commons Debe reconocer adecuadamente la autoría, proporcionar un enlace a la licencia e indicar si se han realizado cambios. Puede hacerlo de cualquier manera razonable, pero no de una manera que sugiera que tiene el apoyo del licenciador o lo recibe por el uso que hace.

Exportado de SIDERAL (2020-02-21-13:52:36)

Este artículo se encuentra en las siguientes colecciones:

 Registro creado el 2016-09-20, última modificación el 2020-02-21

Versión publicada:
Valore este documento:

Rate this document:
(Sin ninguna reseña)