000006535 001__ 6535
000006535 005__ 20190219123700.0
000006535 020__ $$a978-84-694-9903-0
000006535 037__ $$aTESIS-2011-065
000006535 041__ $$aspa
000006535 1001_ $$aNiroomandi, Siamak
000006535 24500 $$aReal-Time simulation of surgery by model reduction and X-Fem techniques
000006535 260__ $$aZaragoza$$bUniversidad de Zaragoza$$c2011
000006535 300__ $$a138
000006535 500__ $$aPresentado: 04 07 2011
000006535 502__ $$aTesis-Univ. Zaragoza$$bZaragoza, Universidad de Zaragoza$$c2011
000006535 506__ $$aby-nc-nd$$bCreative Commons$$c3.0$$uhttps://creativecommons.org/licenses/by-nc-nd/3.0/
000006535 520__ $$aInteractive (that with haptic feedback) simulation of surgery needs for increasingly fast simulation techniques. Feedback rates are nowadays fixed around 1 kHz for haptic peripherals and around 30Hz for visual display. Such tremendous rates impose very drastic limitations to the simulation procedure. In order to achieve haptic realism, several techniques have been tested in the literature. These include mass-spring systems, the use of linear elastic explicit finite element codes or, more recently, the use of Graphic Processing Units (GPU) to speedup the simulation. In any case, in order to achieve realistic results compatible with the sense of touch, large strains must be taken into account, together with sophisticated, state of the art constitutive models for the soft tissues. This has not been achieved to date, up to the author's knowledge. Techniques based on model order reduction (MOR) have received an increasing attention in the last years, and have been employed for interactive simulation of linear elastic solids undergoing large strains (Barbic and James, 2005). In this thesis, however, a study has been made in order to discern if MOR techniques are suitable for the simulation of soft living tissues. In chapter 2 a technique based upon Proper Orthogonal Decomposition (POD) has been employed to simulate at haptic rates the governing equations for a human cornea under a hyperelastic, fiber-reinforced constitutive model. While the technique is able to efficiently simulate these models, errors up to 20% have been noticed, still cceptable. In chapter 3 a novel technique has been developed that allows for an accurate solution of material and geometrical non-linear hyperelastic models without the need of stiffness matrix inversions. It is based upon the combination of POD techniques and Asymptotic Numerical Methods, which provide an accurate description of the nonlinear stress-strain curve of these organs in a convergence interval of sufficient width. Finally, the use of globally supported basis functions, an essential characteristic of POD techniques, very much complicates the task of simulating surgical cutting. To that end, a multiscale method has been developed that enriches the displacement field with an X-FEM-like, discontinuous, field that avoids the need of remeshing, impossible under such severe time restrictions.
000006535 6531_ $$amecánica de medios continuos
000006535 6531_ $$asimulación
000006535 700__ $$aAlfaro Ruiz, Icíar$$edir.
000006535 700__ $$aCueto Prendes, Elias$$edir.
000006535 7102_ $$aUniversidad de Zaragoza$$bIngeniería Mecánica
000006535 8560_ $$fzaguan@unizar.es
000006535 8564_ $$s8683626$$uhttps://zaguan.unizar.es/record/6535/files/TESIS-2011-065.pdf$$zTexto completo (spa)
000006535 909CO $$ooai:zaguan.unizar.es:6535
000006535 909co $$ptesis
000006535 909CO $$pdriver
000006535 9102_ $$aMecánica de medios continuos y teoría de estructuras$$bIngeniería Mecánica
000006535 980__ $$aTESIS