Isogeometric Methods for Numerical SimulationGernot Beer, Stéphane Bordas The book presents the state of the art in isogeometric modeling and shows how the method has advantaged. First an introduction to geometric modeling with NURBS and T-splines is given followed by the implementation into computer software. The implementation in both the FEM and BEM is discussed. |
Contents
| 1 | |
Extended Isogeometric Analysis for Strong and Weak Discontinuities | 21 |
Boundary Element Methods | 121 |
An Introduction to Isogeometric Collocation Methods | 173 |
Isogeometric analysis based on Tsplines | 205 |
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Common terms and phrases
algorithm anchor line Applied Mechanics Auricchio Autodesk B-spline basis functions basis functions Bazilevs Bernstein polynomials Bézier extraction blossom boundary conditions boundary element Boundary Element Method cell collocation methods collocation points Computer Methods control points control Pts coordinates defined degree denotes derivatives dimensional Dirichlet boundary conditions displacement elasticity enriched equations evaluation finite element method fracture fracture mechanics Gauss points geometry global IGA collocation implementation integration isogeometric analysis Isogeometric Methods isoparametric Jacobian Journal for Numerical Kiendl knot insertion knot vector linear M. A. Scott Matlab Mechanics and Engineering mesh Methods in Applied Methods in Engineering nodes Numerical Methods NURBS basis functions NURBS curve NURBS patches plane strain plate polynomial problem quadratic quadrature Reali refinement Schillinger sctr Sederberg shape functions shell shown in Figure singularity solution spline function stress T-mesh T-splines T.J.R. Hughes traction vertical visualization weights XFEM zero