@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{GuoRuess2015, author = {Guo, Yujie and Ruess, Martin}, title = {Weak Dirichlet boundary conditions for trimmed thin isogeometric shells}, series = {Computers \& Mathematics with Applications}, volume = {70}, journal = {Computers \& Mathematics with Applications}, number = {7}, publisher = {Elsevier}, issn = {0898-1221}, doi = {10.1016/j.camwa.2015.06.012}, pages = {1425 -- 1440}, year = {2015}, language = {de} } @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{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} } @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{VarduhnHsuRuessetal.2016, author = {Varduhn, Vasco and Hsu, Ming-Chen and Ruess, Martin and Schillinger, Dominik}, title = {The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes}, series = {International Journal for Numerical Methods in Engineering}, volume = {107}, journal = {International Journal for Numerical Methods in Engineering}, number = {12}, publisher = {Wiley}, issn = {1097-0207}, doi = {10.1002/nme.5207}, pages = {1054 -- 1079}, year = {2016}, language = {en} } @article{LiangRuessAbdalla2014, author = {Liang, Ke and Ruess, Martin and Abdalla, Mostafa}, title = {The Koiter-Newton approach using von K{\´a}rm{\´a}n kinematics for buckling analyses of imperfection sensitive structures}, series = {Computer Methods in Applied Mechanics and Engineering}, volume = {279}, journal = {Computer Methods in Applied Mechanics and Engineering}, publisher = {Elsevier}, issn = {0045-7825}, doi = {10.1016/j.cma.2014.07.008}, pages = {440 -- 468}, year = {2014}, language = {en} } @article{SchillingerRuess2015, author = {Schillinger, Dominik and Ruess, Martin}, title = {The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models}, series = {Archives of Computational Methods in Engineering}, volume = {22}, journal = {Archives of Computational Methods in Engineering}, number = {3}, publisher = {Springer}, issn = {1886-1784}, doi = {10.1007/s11831-014-9115-y}, pages = {391 -- 455}, year = {2015}, 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{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} }