Weak Dirichlet boundary conditions for trimmed thin isogeometric shells
type: Item
instance of: scholarly article
title: Weak Dirichlet boundary conditions for trimmed thin isogeometric shells
zbMATH Open document ID: 1443.65331
author: Yujie Guo
author: Martin Ruess
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 68U07
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 7258630
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: Nitsche method
zbMATH Keywords: essential boundary conditions
zbMATH Keywords: Kirchhoff-Love shells
zbMATH Keywords: rotation-free
zbMATH Keywords: trimmed geometry
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.06.012
OpenAlex ID: W767444809
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: Efficient quadrature for NURBS-based isogeometric analysis
cites work: Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
cites work: Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
cites work: An isogeometric approach to cohesive zone modeling
cites work: A fully ``locking-free'' isogeometric approach for plane linear elasticity problems: a stream function formulation
cites work: Isogeometric sizing and shape optimisation of beam structures
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: 3D simulation of wind turbine rotors at full scale. Part II: Fluid-structure interaction modeling with composite blades
cites work: A large deformation frictional contact formulation using NURBS-based isogeometric analysis
cites work: An isogeometric solid-like shell element for nonlinear analysis
cites work: A hierarchic family of isogeometric shell finite elements
cites work: Q5722857
cites work: Isogeometric shell analysis with Kirchhoff-Love elements
cites work: Isogeometric design of anisotropic shells: optimal form and material distribution
cites work: Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors
cites work: Isogeometric shell analysis: the Reissner-Mindlin shell
cites work: Blended isogeometric shells
cites work: Geometric modeling, isogeometric analysis and the finite cell method
cites work: An isogeometric continuum shell element for non-linear analysis
cites work: Isogeometric Analysis
cites work: Q4681216
cites work: Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
cites work: Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
cites work: The finite cell method for three-dimensional problems of solid mechanics
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
cites work: The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics
cites work: Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method
cites work: The Finite Element Method with Penalty
cites work: A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
cites work: The finite element method with Lagrangian multipliers
cites work: A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
cites work: Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
cites work: An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
cites work: Q2550279
cites work: Q4407680
cites work: Nitsche's method for interface problems in computa-tional mechanics
cites work: Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
cites work: The finite cell method for linear thermoelasticity
cites work: Numerical approximation with Nitsche's coupling of transient Stokes/Darcy's flow problems applied to hemodynamics
cites work: Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
cites work: Weak Dirichlet boundary conditions for wall-bounded turbulent flows
cites work: Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
cites work: Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
cites work: Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
cites work: Q4256595
cites work: Rotation-free isogeometric thin shell analysis using PHT-splines
cites work: An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
cites work: Weak imposition of Dirichlet boundary conditions in fluid mechanics
cites work: Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements
cites work: Efficient rendering of trimmed NURBS surfaces
cites work: Isogeometric analysis of trimmed NURBS geometries
cites work: Analysis in computer aided design: nonlinear isogeometric B-Rep analysis of shell structures
cites work: Isogeometric analysis for trimmed CAD surfaces
cites work: On the numerical integration of trimmed isogeometric elements
cites work: PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
cites work: Q2742794
cites work: Stress projection for membrane and shear locking in shell finite elements

Weak Dirichlet boundary conditions for trimmed thin isogeometric shells (cites work)
cites work: Q4000182

Weak Dirichlet boundary conditions for trimmed thin isogeometric shells (DOI)
DOI: 10.1016/J.CAMWA.2015.06.012

Weak Dirichlet boundary conditions for trimmed thin isogeometric shells (published in)
published in: Computers & Mathematics with Applications