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Comparing mixed hybrid finite element method with standard FEM in swelling simulations involving extremely large deformations

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dc.contributor.author Yu, Cong
dc.contributor.author Malakpoor, Kamyar
dc.contributor.author Huyghe, Jacques M.
dc.date.accessioned 2020-06-02T09:22:40Z
dc.date.available 2020-06-02T09:22:40Z
dc.date.issued 2020
dc.identifier.uri http://hdl.handle.net/10344/8877
dc.description peer-reviewed en_US
dc.description.abstract Swelling involving (extremely) large deformations simulations have wide range of applications in biomedicine, tissue engineering and hygienic product design. Typically, standard FEM is used in which deformations and chemical potential are chosen to be the prime variables. On the other hand, mixed hybrid finite element method (MHFEM) featuring an additional independent variable field flux possesses local mass conservation property. Such a property has shown its success in Darcy’s type equations with heterogeneous permeability. In this work, we perform a full-round comparison between MHFEM and FEM in solving swelling problems involving large deformations. Specifically, based on the permeability distributions, the problems fall into three categories: constant permeability, strain-dependent permeability and permeability with a discontinuous interface. For each category, we compare the two methods in aspects like solution convergence robustness, deformation, chemical potential and flux field accuracy and computational cost. We conclude that MHFEM outperforms standard FEM in terms of solution convergence robustness and the accuracy of all three fields when a swelling problem involves discontinuous interface in permeability. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation.ispartofseries Computational Mechanics;
dc.subject Large deformations en_US
dc.subject Numerical methods en_US
dc.subject Hydrogel en_US
dc.subject Transient swelling en_US
dc.title Comparing mixed hybrid finite element method with standard FEM in swelling simulations involving extremely large deformations en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1007/s00466-020-01851-z
dc.contributor.sponsor Technology Foundation STW en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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