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 - Guo, Yujie A1 - Ruess, Martin T1 - Weak Dirichlet boundary conditions for trimmed thin isogeometric shells JF - Computers & Mathematics with Applications Y1 - 2015 U6 - https://doi.org/10.1016/j.camwa.2015.06.012 SN - 0898-1221 N1 - Open Archiv VL - 70 IS - 7 SP - 1425 EP - 1440 PB - Elsevier 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 - 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 - 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 - Varduhn, Vasco A1 - Hsu, Ming-Chen A1 - Ruess, Martin A1 - Schillinger, Dominik T1 - The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes JF - International Journal for Numerical Methods in Engineering Y1 - 2016 U6 - https://doi.org/10.1002/nme.5207 SN - 1097-0207 VL - 107 IS - 12 SP - 1054 EP - 1079 PB - Wiley ER - TY - JOUR A1 - Liang, Ke A1 - Ruess, Martin A1 - Abdalla, Mostafa T1 - The Koiter–Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures JF - Computer Methods in Applied Mechanics and Engineering Y1 - 2014 U6 - https://doi.org/10.1016/j.cma.2014.07.008 SN - 0045-7825 VL - 279 SP - 440 EP - 468 PB - Elsevier ER - TY - JOUR A1 - Schillinger, Dominik A1 - Ruess, Martin T1 - The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models JF - Archives of Computational Methods in Engineering Y1 - 2015 U6 - https://doi.org/10.1007/s11831-014-9115-y SN - 1886-1784 VL - 22 IS - 3 SP - 391 EP - 455 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 - 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 -