%0 Conference Paper %1 Duong2015b %A Duong, Minh Tuan %A Nguyễn, Như Huynh %A Staat, Manfred %B YIC GACM 2015, 3rd ECCOMAS Young Investigators Conference, 6th GACM Colloquium, Aachen, Germany, July 20-23, 2015 %C Aachen, Germany %D 2015 %K Constitutive Modeling,Face-based Modeling,SFEM SFEM,Growing mass,Growth %T Modeling and simulation of a growing mass by the Smoothed Finite Element Method (SFEM) %X Modeling of a growing mass like soft tissue becomes more essential in biomechanical applications such as mesh implants, tissue replacements or stents in arteries. It could be hypothesised that growth and remodelling may cause problems such as aneurisms and herniae. The paper presents growth modeling using a multiplicative decomposition of the deformation gradient into the growth part and the elastic term. Stretch ratios in growth tensors are introduced as internal variables at the integration point level in the finite element setting. Isotropic and transversely isotropic growth models are implemented into the open source program Code Aster. The growth problems are solved by adopting a Face-based Smoothed Finite Element Method (FS-FEM). To this end, internal variables of the growth models are modified properly, the growth tensors are smoothed, and the implicit Euler scheme for the stretch ratios is utilized. The FS-FEM can improve some existing problems which the standard Finite Element Method (FEM) such as the well-known overly stiff behavior and poor stress solution.

@inproceedings{Duong2015b, abstract = {Modeling of a growing mass like soft tissue becomes more essential in biomechanical applications such as mesh implants, tissue replacements or stents in arteries. It could be hypothesised that growth and remodelling may cause problems such as aneurisms and herniae. The paper presents growth modeling using a multiplicative decomposition of the deformation gradient into the growth part and the elastic term. Stretch ratios in growth tensors are introduced as internal variables at the integration point level in the finite element setting. Isotropic and transversely isotropic growth models are implemented into the open source program Code Aster. The growth problems are solved by adopting a Face-based Smoothed Finite Element Method (FS-FEM). To this end, internal variables of the growth models are modified properly, the growth tensors are smoothed, and the implicit Euler scheme for the stretch ratios is utilized. The FS-FEM can improve some existing problems which the standard Finite Element Method (FEM) such as the well-known overly stiff behavior and poor stress solution.}, added-at = {2019-12-23T09:34:32.000+0100}, address = {Aachen, Germany}, author = {Duong, Minh Tuan and Nguyễn, Như Huynh and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/2a05b88b9f8693c9065244609961ffafd/staat}, booktitle = {YIC GACM 2015, 3rd ECCOMAS Young Investigators Conference, 6th GACM Colloquium, Aachen, Germany, July 20-23, 2015}, interhash = {eb65ea5a714729052a9df448b798e3fe}, intrahash = {a05b88b9f8693c9065244609961ffafd}, keywords = {Constitutive Modeling,Face-based Modeling,SFEM SFEM,Growing mass,Growth}, timestamp = {2019-12-23T09:34:32.000+0100}, title = {{Modeling and simulation of a growing mass by the Smoothed Finite Element Method (SFEM)}}, year = 2015 }