Patient-specific isogeometric structural analysis of aortic valve closure

Generalized Unified Formulation shell element for functionally graded Variable-Stiffness Composite Laminates and aeroelastic applications

“…[49,47]). In the present work GUF finite element implementation includes linear, parabolic, cubic, and quartic triangular elements (see Fig.…”

Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function

“…Current ways of performing personalization include estimation of fiber directions from imaging modalities such as diffusion MRI [178], as well as data assimilation of cardiac motion from imaging into electromechanics simulations through unscented Kalman filters [164,233]. Meanwhile, in the cardiac fluid dynamics community more and more advanced patient-specific valve models incorporating fluid-structure interaction are being developed [1,73,52,81,148,175,267], and may in the future be incorporated into full-heart computational models to study the joint effect of valve function and cardiac mechanics.…”

Isogeometric collocation methods for the Reissner–Mindlin plate problem

“…The basic IGA paradigm consists of adopting the same basis functions used for geometry representations in CAD systems -such as, e.g., Non-Uniform Rational B-Splines (NURBS) -for the approximation of field variables, in an isoparametric fashion. Thanks to the high-continuity properties of its basis functions, IGA is also characterized by an increased accuracy and robustness on a per-degree-of-freedom basis in comparison to standard FEA [3][4][5][6][7], and opens the door to new possibilities such as the construction of geometrically flexible discretizations of higher-order partial differential equations (PDEs) in primal form [8][9][10][11][12].…”