Corotational cut finite element method for real-time surgical simulation: application to needle insertion simulation

DOI10.1016/j.cma.2018.10.023zbMath1440.74378arXiv1712.03052OpenAlexW2773725824WikidataQ128959919 ScholiaQ128959919MaRDI QIDQ1986772

Huu Phuoc Bui, Satyendra Tomar, Stéphane Pierre Alain Bordas

Publication date: 9 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03052

zbMATH Keywords

real-time simulationcut finite element methodcorotational CutFEMneedle insertionunfitted FEM

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Medical applications (general) (92C50) Biomechanical solid mechanics (74L15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability ⋮ An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries ⋮ A contact formulation using local frame of \(SE(3)\) group for corotational beam against rigid solid via moving signed distance field

Uses Software

• SOFA
• FEAPpv
• CutFEM

Cites Work

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• Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
• Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
• Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
• A unified formulation of small-strain corotational finite elements. I: Theory
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• The design and analysis of the generalized finite element method
• Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
• A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems
• Real-time simulation of surgery by reduced-order modeling and X-FEM techniques
• CutFEM: Discretizing geometry and partial differential equations
• Higher-order accurate integration of implicit geometries
• Immersed particle method for fluid-structure interaction
• Elastic crack growth in finite elements with minimal remeshing
• A FINITE ELEMENT FORMULATION FOR 3-D CONTINUA USING THE CO-ROTATIONAL TECHNIQUE
• A finite element method for crack growth without remeshing
• A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation

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