@article{YangKollmannsbergerDuesteretal.2011, author = {Yang, Zhengxiong and Kollmannsberger, Stefan and D{\"u}ster, Alexander and Ruess, Martin and Garcia, Eduardo Grande and Burgkart, Rainer and Rank, Ernst}, title = {Non-standard bone simulation: interactive numerical analysis by computational steering}, series = {Computing and Visualization in Science}, volume = {14}, journal = {Computing and Visualization in Science}, number = {5}, publisher = {Springer}, doi = {10.1007/s00791-012-0175-y}, pages = {207 -- 216}, year = {2011}, language = {en} } @article{ZanderKollmannsbergerRuessetal.2012, author = {Zander, Nils and Kollmannsberger, Stefan and Ruess, Martin and Yosibash, Z. and Rank, Ernst}, title = {The Finite Cell Method for linear thermoelasticity}, series = {Computers \& Mathematics with Applications}, volume = {64}, journal = {Computers \& Mathematics with Applications}, number = {11}, publisher = {Elsevier}, issn = {0898-1221}, doi = {10.1016/j.camwa.2012.09.002}, pages = {3527 -- 3541}, year = {2012}, language = {en} } @article{ZanderBogElhaddadetal.2014, author = {Zander, Nils and Bog, Tino and Elhaddad, Mohamed and Espinoza, R. and Hu, H. and Joly, A. and Wu, C. and Zerbe, P. and D{\"u}ster, Alexander and Kollmannsberger, Stefan and Parvizian, J. and Ruess, Martin and Schillinger, Dominik and Rank, Ernst}, title = {FCMLab: A finite cell research toolbox for MATLAB}, series = {Advances in Engineering Software}, volume = {74}, journal = {Advances in Engineering Software}, publisher = {Elsevier}, issn = {0965-9978}, doi = {10.1016/j.advengsoft.2014.04.004}, pages = {49 -- 63}, year = {2014}, language = {en} } @inproceedings{RuessVarduhnRanketal.2012, author = {Ruess, Martin and Varduhn, Vasco and Rank, Ernst and Yosibash, Zohar}, title = {A Parallel High-Order Fictitious Domain Approach for Biomechanical Applications}, series = {11th International Symposium on Parallel and Distributed Computing (ISPDC), 2012 : 25 - 29 June 2012, Munich, Germany ; proceedings}, booktitle = {11th International Symposium on Parallel and Distributed Computing (ISPDC), 2012 : 25 - 29 June 2012, Munich, Germany ; proceedings}, editor = {Bader, Michael}, publisher = {IEEE}, address = {Piscataway}, isbn = {978-1-4673-2599-8}, doi = {10.1109/ISPDC.2012.45}, pages = {279 -- 285}, year = {2012}, language = {en} } @inproceedings{RuessMundaniRank2009, author = {Ruess, Martin and Mundani, Ralf-Peter and Rank, Ernst}, title = {Computational steering in dynamic structure simulation: An improved communication concept}, series = {2009 IEEE Toronto International Conference Science and Technology for Humanity (TIC-STH), Toronto, 26.09.2009 - 27.09.2009}, booktitle = {2009 IEEE Toronto International Conference Science and Technology for Humanity (TIC-STH), Toronto, 26.09.2009 - 27.09.2009}, publisher = {IEEE}, isbn = {978-1-4244-3877-8}, doi = {10.1109/TIC-STH.2009.5444450}, pages = {497 -- 502}, year = {2009}, language = {en} } @article{RuessSchillingerBazilevsetal.2013, author = {Ruess, Martin and Schillinger, Dominik and Bazilevs, Yuri and Varduhn, Vasco and Rank, Ernst}, title = {Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method}, series = {International Journal for Numerical Methods in Engineering}, volume = {95}, journal = {International Journal for Numerical Methods in Engineering}, number = {10}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.4522}, pages = {811 -- 846}, year = {2013}, language = {en} } @article{SchillingerRuessZanderetal.2012, author = {Schillinger, Dominik and Ruess, Martin and Zander, Nils and Bazilevs, Yuri and D{\"u}ster, Alexander and Rank, Ernst}, title = {Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method}, series = {Computational Mechanics}, volume = {50}, journal = {Computational Mechanics}, number = {4}, publisher = {Springer}, issn = {1432-0924}, doi = {10.1007/S00466-012-0684-Z}, pages = {445 -- 478}, year = {2012}, language = {en} } @article{RuessTalTrabelsietal.2012, author = {Ruess, Martin and Tal, David and Trabelsi, Nir and Yosibash, Zohar and Rank, Ernst}, title = {The finite cell method for bone simulations: verification and validation}, series = {Biomechanics and modeling in mechanobiology}, volume = {11}, journal = {Biomechanics and modeling in mechanobiology}, number = {3-4}, publisher = {Springer}, organization = {Springer}, issn = {1617-7940}, doi = {10.1007/s10237-011-0322-2}, pages = {425 -- 437}, year = {2012}, language = {en} } @article{RuessSchillingerOezcanetal.2014, author = {Ruess, Martin and Schillinger, Dominik and {\"O}zcan, Ali I. and Rank, Ernst}, title = {Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries}, series = {Computer Methods in Applied Mechanics and Engineering}, volume = {269}, journal = {Computer Methods in Applied Mechanics and Engineering}, publisher = {Elsevier}, issn = {0045-7825}, doi = {10.1016/j.cma.2013.10.009}, pages = {46 -- 71}, year = {2014}, language = {en} } @article{RankRuessKollmannsbergeretal.2012, author = {Rank, Ernst and Ruess, Martin and Kollmannsberger, Stefan and Schillinger, Dominik and D{\"u}ster, Alexander}, title = {Geometric modeling, isogeometric analysis and the finite cell method}, series = {Computer Methods in Applied Mechanics and Engineering}, volume = {249-252}, journal = {Computer Methods in Applied Mechanics and Engineering}, publisher = {Elsevier}, issn = {0045-7825}, doi = {10.1016/j.cma.2012.05.022}, pages = {104 -- 115}, year = {2012}, language = {de} } @article{YangRuessKollmannsbergeretal.2012, author = {Yang, Z. and Ruess, Martin and Kollmannsberger, Stefan and D{\"u}ster, Alexander and Rank, Ernst}, title = {An efficient integration technique for the voxel-based finite cell method}, series = {International Journal for Numerical Methods in Engineering}, volume = {91}, journal = {International Journal for Numerical Methods in Engineering}, number = {5}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.4269}, pages = {457 -- 471}, year = {2012}, language = {en} } @article{KollmannsbergerOezcanBaigesetal.2015, author = {Kollmannsberger, Stefan and {\"O}zcan, Ali I. and Baiges, J. and Ruess, Martin and Rank, Ernst and Reali, A.}, title = {Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches}, series = {International Journal for Numerical Methods in Engineering}, volume = {101}, journal = {International Journal for Numerical Methods in Engineering}, number = {9}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.4817}, pages = {670 -- 699}, year = {2015}, language = {en} } @article{WilleRuessRanketal.2016, author = {Wille, Hagen and Ruess, Martin and Rank, Ernst and Yosibash, Zohar}, title = {Uncertainty quantification for personalized analyses of human proximal femurs}, series = {Journal of Biomechanics}, volume = {49}, journal = {Journal of Biomechanics}, number = {4}, publisher = {Elsevier}, issn = {0021-9290}, doi = {10.1016/j.jbiomech.2015.11.013}, pages = {520 -- 527}, year = {2016}, abstract = {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.}, language = {en} } @article{ZanderRuessBogetal.2017, author = {Zander, Nils and Ruess, Martin and Bog, Tino and Kollmannsberger, Stefan and Rank, Ernst}, title = {Multi-level hp -adaptivity for cohesive fracture modeling}, series = {International Journal for Numerical Methods in Engineering}, volume = {109}, journal = {International Journal for Numerical Methods in Engineering}, number = {13}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.5340}, pages = {1723 -- 1755}, year = {2017}, language = {en} } @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} }