000056679 001__ 56679
000056679 005__ 20200221144346.0
000056679 0247_ $$2doi$$a10.1186/s40323-016-0061-0
000056679 0248_ $$2sideral$$a95797
000056679 037__ $$aART-2016-95797
000056679 041__ $$aeng
000056679 100__ $$aRüberg, Thomas
000056679 245__ $$aNumerical simulation of solid deformation driven by creeping flow using an immersed finite element method
000056679 260__ $$c2016
000056679 5060_ $$aAccess copy available to the general public$$fUnrestricted
000056679 5203_ $$aAn 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.
000056679 536__ $$9info:eu-repo/grantAgreement/EUR/FP7/ERC2012-StG-306751$$9info:eu-repo/grantAgreement/ES/MINECO/DPI2012-38090-C03-01
000056679 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000056679 592__ $$a0.0$$b2016
000056679 593__ $$aApplied Mathematics$$c2016
000056679 593__ $$aModeling and Simulation$$c2016
000056679 593__ $$aEngineering (miscellaneous)$$c2016
000056679 593__ $$aComputer Science Applications$$c2016
000056679 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000056679 700__ $$0(orcid)0000-0002-9864-7683$$aGarcía Aznar, José Manuel$$uUniversidad de Zaragoza
000056679 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est.
000056679 773__ $$g3, 9 (2016), [31 pp.]$$pAdv. model. simul. eng. sci.$$tAdvanced modeling and simulation in engineering sciences$$x2213-7467
000056679 8564_ $$s2448614$$uhttps://zaguan.unizar.es/record/56679/files/texto_completo.pdf$$yVersión publicada
000056679 8564_ $$s16969$$uhttps://zaguan.unizar.es/record/56679/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000056679 909CO $$ooai:zaguan.unizar.es:56679$$particulos$$pdriver
000056679 951__ $$a2020-02-21-13:52:36
000056679 980__ $$aARTICLE