TY - JOUR A1 - Yang, Zhengxiong A1 - Kollmannsberger, Stefan A1 - Düster, Alexander A1 - Ruess, Martin A1 - Garcia, Eduardo Grande A1 - Burgkart, Rainer A1 - Rank, Ernst T1 - Non-standard bone simulation: interactive numerical analysis by computational steering JF - Computing and Visualization in Science Y1 - 2011 U6 - https://doi.org/10.1007/s00791-012-0175-y VL - 14 IS - 5 SP - 207 EP - 216 PB - Springer ER - TY - JOUR A1 - Zander, Nils A1 - Kollmannsberger, Stefan A1 - Ruess, Martin A1 - Yosibash, Z. A1 - Rank, Ernst T1 - The Finite Cell Method for linear thermoelasticity JF - Computers & Mathematics with Applications Y1 - 2012 U6 - https://doi.org/10.1016/j.camwa.2012.09.002 SN - 0898-1221 N1 - Open Archiv VL - 64 IS - 11 SP - 3527 EP - 3541 PB - Elsevier ER - TY - JOUR A1 - Zander, Nils A1 - Bog, Tino A1 - Elhaddad, Mohamed A1 - Espinoza, R. A1 - Hu, H. A1 - Joly, A. A1 - Wu, C. A1 - Zerbe, P. A1 - Düster, Alexander A1 - Kollmannsberger, Stefan A1 - Parvizian, J. A1 - Ruess, Martin A1 - Schillinger, Dominik A1 - Rank, Ernst T1 - FCMLab: A finite cell research toolbox for MATLAB JF - Advances in Engineering Software Y1 - 2014 U6 - https://doi.org/10.1016/j.advengsoft.2014.04.004 SN - 0965-9978 VL - 74 SP - 49 EP - 63 PB - Elsevier ER - TY - CHAP A1 - Ruess, Martin A1 - Varduhn, Vasco A1 - Rank, Ernst A1 - Yosibash, Zohar ED - Bader, Michael T1 - A Parallel High-Order Fictitious Domain Approach for Biomechanical Applications T2 - 11th International Symposium on Parallel and Distributed Computing (ISPDC), 2012 : 25 - 29 June 2012, Munich, Germany ; proceedings Y1 - 2012 UR - http://ieeexplore.ieee.org/document/6341523/ SN - 978-1-4673-2599-8 U6 - https://doi.org/10.1109/ISPDC.2012.45 SP - 279 EP - 285 PB - IEEE CY - Piscataway ER - TY - CHAP A1 - Ruess, Martin A1 - Mundani, Ralf-Peter A1 - Rank, Ernst T1 - Computational steering in dynamic structure simulation: An improved communication concept T2 - 2009 IEEE Toronto International Conference Science and Technology for Humanity (TIC-STH), Toronto, 26.09.2009 - 27.09.2009 Y1 - 2009 UR - http://ieeexplore.ieee.org/document/5444450/ SN - 978-1-4244-3877-8 U6 - https://doi.org/10.1109/TIC-STH.2009.5444450 SP - 497 EP - 502 PB - IEEE ER - TY - JOUR A1 - Ruess, Martin A1 - Schillinger, Dominik A1 - Bazilevs, Yuri A1 - Varduhn, Vasco A1 - Rank, Ernst T1 - Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method JF - International Journal for Numerical Methods in Engineering Y1 - 2013 U6 - https://doi.org/10.1002/nme.4522 SN - 1097-0207 VL - 95 IS - 10 SP - 811 EP - 846 PB - Wiley ER - TY - JOUR A1 - Schillinger, Dominik A1 - Ruess, Martin A1 - Zander, Nils A1 - Bazilevs, Yuri A1 - Düster, Alexander A1 - Rank, Ernst T1 - Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method JF - Computational Mechanics Y1 - 2012 U6 - https://doi.org/10.1007/S00466-012-0684-Z SN - 1432-0924 VL - 50 IS - 4 SP - 445 EP - 478 PB - Springer ER - TY - JOUR A1 - Ruess, Martin A1 - Tal, David A1 - Trabelsi, Nir A1 - Yosibash, Zohar A1 - Rank, Ernst T1 - The finite cell method for bone simulations: verification and validation JF - Biomechanics and modeling in mechanobiology Y1 - 2012 UR - http://www.ncbi.nlm.nih.gov/pubmed/21695444 U6 - https://doi.org/10.1007/s10237-011-0322-2 SN - 1617-7940 VL - 11 IS - 3-4 SP - 425 EP - 437 PB - Springer ER - TY - JOUR A1 - Ruess, Martin A1 - Schillinger, Dominik A1 - Özcan, Ali I. A1 - Rank, Ernst T1 - Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries JF - Computer Methods in Applied Mechanics and Engineering Y1 - 2014 U6 - https://doi.org/10.1016/j.cma.2013.10.009 SN - 0045-7825 VL - 269 SP - 46 EP - 71 PB - Elsevier ER - TY - JOUR A1 - Rank, Ernst A1 - Ruess, Martin A1 - Kollmannsberger, Stefan A1 - Schillinger, Dominik A1 - Düster, Alexander T1 - Geometric modeling, isogeometric analysis and the finite cell method JF - Computer Methods in Applied Mechanics and Engineering Y1 - 2012 U6 - https://doi.org/10.1016/j.cma.2012.05.022 SN - 0045-7825 VL - 249-252 SP - 104 EP - 115 PB - Elsevier ER - TY - JOUR A1 - Yang, Z. A1 - Ruess, Martin A1 - Kollmannsberger, Stefan A1 - Düster, Alexander A1 - Rank, Ernst T1 - An efficient integration technique for the voxel-based finite cell method JF - International Journal for Numerical Methods in Engineering Y1 - 2012 U6 - https://doi.org/10.1002/nme.4269 SN - 1097-0207 VL - 91 IS - 5 SP - 457 EP - 471 PB - Wiley ER - TY - JOUR A1 - Kollmannsberger, Stefan A1 - Özcan, Ali I. A1 - Baiges, J. A1 - Ruess, Martin A1 - Rank, Ernst A1 - Reali, A. T1 - Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches JF - International Journal for Numerical Methods in Engineering Y1 - 2015 U6 - https://doi.org/10.1002/nme.4817 SN - 1097-0207 VL - 101 IS - 9 SP - 670 EP - 699 PB - Wiley ER - TY - JOUR A1 - Wille, Hagen A1 - Ruess, Martin A1 - Rank, Ernst A1 - Yosibash, Zohar T1 - Uncertainty quantification for personalized analyses of human proximal femurs JF - Journal of Biomechanics N2 - Computational models for the personalized analysis of human femurs contain uncertainties in bone material properties and loads, which affect the simulation results. To quantify the influence we developed a probabilistic framework based on polynomial chaos (PC) that propagates stochastic input variables through any computational model. We considered a stochastic E-ρ relationship and a stochastic hip contact force, representing realistic variability of experimental data. Their influence on the prediction of principal strains (ϵ1 and ϵ3) was quantified for one human proximal femur, including sensitivity and reliability analysis. Large variabilities in the principal strain predictions were found in the cortical shell of the femoral neck, with coefficients of variation of ≈40%. Between 60 and 80% of the variance in ϵ1 and ϵ3 are attributable to the uncertainty in the E-ρ relationship, while ≈10% are caused by the load magnitude and 5-30% by the load direction. Principal strain directions were unaffected by material and loading uncertainties. The antero-superior and medial inferior sides of the neck exhibited the largest probabilities for tensile and compression failure, however all were very small (pf<0.001). In summary, uncertainty quantification with PC has been demonstrated to efficiently and accurately describe the influence of very different stochastic inputs, which increases the credibility and explanatory power of personalized analyses of human proximal femurs. Y1 - 2016 UR - http://www.ncbi.nlm.nih.gov/pubmed/26873282 U6 - https://doi.org/10.1016/j.jbiomech.2015.11.013 SN - 0021-9290 VL - 49 IS - 4 SP - 520 EP - 527 PB - Elsevier ER - TY - JOUR A1 - Zander, Nils A1 - Ruess, Martin A1 - Bog, Tino A1 - Kollmannsberger, Stefan A1 - Rank, Ernst T1 - Multi-level hp -adaptivity for cohesive fracture modeling JF - International Journal for Numerical Methods in Engineering Y1 - 2017 U6 - https://doi.org/10.1002/nme.5340 SN - 1097-0207 VL - 109 IS - 13 SP - 1723 EP - 1755 PB - Wiley ER - 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 -