@article{ElhaddadZanderBogetal.2018, author = {Elhaddad, Mohamed and Zander, Nils and Bog, Tino and Kudela, L{\´a}szl{\´o} and Kollmannsberger, Stefan and Kirschke, Jan and Baum, Thomas and Ruess, Martin and Rank, Ernst}, title = {Multi-level hp-finite cell method for embedded interface problems with application in biomechanics}, series = {International Journal for Numerical Methods in Biomedical Engineering}, volume = {34}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, number = {4}, publisher = {Wiley}, issn = {2040-7947}, doi = {10.1002/cnm.2951}, year = {2018}, abstract = {This work presents a numerical discretization technique for solving 3-dimensional material interface problems involving complex geometry without conforming mesh generation. The finite cell method (FCM), which is a high-order fictitious domain approach, is used for the numerical approximation of the solution without a boundary-conforming mesh. Weak discontinuities at material interfaces are resolved by using separate FCM meshes for each material sub-domain and weakly enforcing the interface conditions between the different meshes. Additionally, a recently developed hierarchical hp-refinement scheme is used to locally refine the FCM meshes to resolve singularities and local solution features at the interfaces. Thereby, higher convergence rates are achievable for nonsmooth problems. A series of numerical experiments with 2- and 3-dimensional benchmark problems is presented, showing that the proposed hp-refinement scheme in conjunction with the weak enforcement of the interface conditions leads to a significant improvement of the convergence rates, even in the presence of singularities. Finally, the proposed technique is applied to simulate a vertebra-implant model. The application showcases the method's potential as an accurate simulation tool for biomechanical problems involving complex geometry, and it demonstrates its flexibility in dealing with different types of geometric description.}, language = {en} } @article{KeshavanarayanaRuessdeBorst2018, author = {Keshavanarayana, Pradeep and Ruess, Martin and de Borst, Ren{\´e}}, title = {On the monolithic and staggered solution of cell contractility and focal adhesion growth}, series = {International Journal for Numerical Methods in Biomedical Engineering}, volume = {34}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, number = {11}, publisher = {Wiley}, issn = {2040-7947}, doi = {10.1002/cnm.3138}, year = {2018}, language = {en} } @article{MagisanoLiangGarceaetal.2018, author = {Magisano, D. and Liang, Ke and Garcea, G. and Leonetti, L. and Ruess, Martin}, title = {An efficient mixed variational reduced-order model formulation for nonlinear analyses of elastic shells}, series = {International Journal for Numerical Methods in Engineering}, volume = {113}, journal = {International Journal for Numerical Methods in Engineering}, number = {4}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.5629}, pages = {634 -- 655}, year = {2018}, language = {en} } @article{NguyenStoterRuessetal.2018, author = {Nguyen, Lam H. and Stoter, Stein K.F. and Ruess, Martin and Sanchez Uribe, Manuel A. and Schillinger, Dominik}, title = {The diffuse Nitsche method: Dirichlet constraints on phase-field boundaries}, series = {International Journal for Numerical Methods in Engineering}, volume = {113}, journal = {International Journal for Numerical Methods in Engineering}, number = {4}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.5628}, pages = {601 -- 633}, year = {2018}, language = {en} } @article{GuoHellerHughesetal.2018, author = {Guo, Yujie and Heller, Jason and Hughes, Thomas J.R. and Ruess, Martin and Schillinger, Dominik}, title = {Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format}, series = {Computer Methods in Applied Mechanics and Engineering}, volume = {336}, journal = {Computer Methods in Applied Mechanics and Engineering}, publisher = {Elsevier}, issn = {0045-7825}, doi = {10.1016/j.cma.2018.02.027}, pages = {39 -- 79}, year = {2018}, language = {en} }