TY - JOUR A1 - Elhaddad, Mohamed A1 - Zander, Nils A1 - Bog, Tino A1 - Kudela, László A1 - Kollmannsberger, Stefan A1 - Kirschke, Jan A1 - Baum, Thomas A1 - Ruess, Martin A1 - Rank, Ernst T1 - Multi-level hp-finite cell method for embedded interface problems with application in biomechanics JF - International Journal for Numerical Methods in Biomedical Engineering N2 - 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. Y1 - 2018 UR - http://www.ncbi.nlm.nih.gov/pubmed/29265715 U6 - https://doi.org/10.1002/cnm.2951 SN - 2040-7947 VL - 34 IS - 4 PB - Wiley ER - TY - JOUR A1 - Keshavanarayana, Pradeep A1 - Ruess, Martin A1 - de Borst, René T1 - On the monolithic and staggered solution of cell contractility and focal adhesion growth JF - International Journal for Numerical Methods in Biomedical Engineering Y1 - 2018 UR - http://www.ncbi.nlm.nih.gov/pubmed/30070031 U6 - https://doi.org/10.1002/cnm.3138 SN - 2040-7947 VL - 34 IS - 11 PB - Wiley ER - TY - JOUR A1 - Magisano, D. A1 - Liang, Ke A1 - Garcea, G. A1 - Leonetti, L. A1 - Ruess, Martin T1 - An efficient mixed variational reduced-order model formulation for nonlinear analyses of elastic shells JF - International Journal for Numerical Methods in Engineering Y1 - 2018 U6 - https://doi.org/10.1002/nme.5629 SN - 1097-0207 VL - 113 IS - 4 SP - 634 EP - 655 PB - Wiley ER - TY - JOUR A1 - Nguyen, Lam H. A1 - Stoter, Stein K.F. A1 - Ruess, Martin A1 - Sanchez Uribe, Manuel A. A1 - Schillinger, Dominik T1 - The diffuse Nitsche method: Dirichlet constraints on phase-field boundaries JF - International Journal for Numerical Methods in Engineering Y1 - 2018 U6 - https://doi.org/10.1002/nme.5628 SN - 1097-0207 VL - 113 IS - 4 SP - 601 EP - 633 PB - Wiley ER - TY - JOUR A1 - Guo, Yujie A1 - Heller, Jason A1 - Hughes, Thomas J.R. A1 - Ruess, Martin A1 - Schillinger, Dominik T1 - Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format JF - Computer Methods in Applied Mechanics and Engineering Y1 - 2018 U6 - https://doi.org/10.1016/j.cma.2018.02.027 SN - 0045-7825 N1 - Open Manuscript https://www.sciencedirect.com/science/article/am/pii/S0045782518301075 VL - 336 SP - 39 EP - 79 PB - Elsevier ER -