Isogeometric analysis ≈ Isogeometric analysis
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Constitutive models for strongly curved beams in the frame of isogeometric analysis Open
The current development of the isogeometric approach in various fields of mechanics is explained by the high-accuracy results which can be achieved at a reduced computational cost by codes based on non-uniform rational B-splines (NURBS). I…
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Isogeometric Analysis of Laminated Composite Plates Using the Higher-Order Shear Deformation Theory Open
Isogeometric analysis (IGA) aims at simplifying the computer aided design (CAD) and computer aided engineering (CAE) pipeline by using the same functions to describe the geometry (CAD) and the unknown fields (Analysis). IGA can be based on…
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Condition number analysis and preconditioning of the finite cell method Open
The (Isogeometric) Finite Cell Method-in which a domain is immersed in a structured background mesh-suffers from conditioning problems when cells with small volume fractions occur. In this contribution, we establish a rigorous scaling rela…
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A Comprehensive Review of Isogeometric Topology Optimization: Methods, Applications and Prospects Open
Topology Optimization (TO) is a powerful numerical technique to determine the optimal material layout in a design domain, which has accepted considerable developments in recent years. The classic Finite Element Method (FEM) is applied to c…
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Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity Open
Summary The present work addresses shape sensitivity analysis and optimization in two‐dimensional elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform rational B‐splines are used both for the geometry an…
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Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review Open
Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design tools, has been used in structural optimization for 10 years, with plenty of excellent research results. This paper provides a comprehe... | Find, re…
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Isogeometric Fatigue Damage Prediction in Large-Scale Composite Structures Driven by Dynamic Sensor Data Open
In this paper, we combine recent developments in modeling of fatigue-damage, isogeometric analysis (IGA) of thin-shell structures, and structural health monitoring (SHM) to develop a computational steering framework for fatigue-damage pred…
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Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence Open
The problem of developing an adaptive isogeometric method (AIGM) for solving elliptic second-order partial differential equations with truncated hierarchical B-splines of arbitrary degree and different order of continuity is addressed. The…
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Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT) Open
Summary This paper presents an approach to generalize the concept of isogeometric analysis by allowing different spaces for the parameterization of the computational domain and for the approximation of the solution field. The method inheri…
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Compressible-flow geometric-porosity modeling and spacecraft parachute computation with isogeometric discretization Open
One of the challenges in computational fluid–structure interaction (FSI) analysis of spacecraft parachutes is the “geometric porosity,” a design feature created by the hundreds of gaps and slits that the flow goes through. Because FSI anal…
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Heart valve isogeometric sequentially-coupled FSI analysis with the space–time topology change method Open
Heart valve fluid–structure interaction (FSI) analysis is one of the computationally challenging cases in cardiovascular fluid mechanics. The challenges include unsteady flow through a complex geometry, solid surfaces with large motion, an…
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Isogeometric iFEM Analysis of Thin Shell Structures Open
Shape sensing is one of most crucial components of typical structural health monitoring systems and has become a promising technology for future large-scale engineering structures to achieve significant improvement in their safety, reliabi…
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Ventricle-valve-aorta flow analysis with the Space–Time Isogeometric Discretization and Topology Change Open
We address the computational challenges of and presents results from ventricle-valve-aorta flow analysis. Including the left ventricle (LV) in the model makes the flow into the valve, and consequently the flow into the aorta, anatomically …
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Gas turbine computational flow and structure analysis with isogeometric discretization and a complex-geometry mesh generation method Open
A recently introduced NURBS mesh generation method for complex-geometry Isogeometric Analysis (IGA) is applied to building a high-quality mesh for a gas turbine. The compressible flow in the turbine is computed using the IGA and a stabiliz…
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Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis Open
In this article, we address adaptive methods for isogeometric analysis based on local refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was introduced a decade ago and an impressive progress has been m…
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Space–time VMS flow analysis of a turbocharger turbine with isogeometric discretization: computations with time-dependent and steady-inflow representations of the intake/exhaust cycle Open
Many of the computational challenges encountered in turbocharger-turbine flow analysis have been addressed by an integrated set of space–time (ST) computational methods. The core computational method is the ST variational multiscale (ST-VM…
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Isogeometric hyperelastic shell analysis with out-of-plane deformation mapping Open
We derive a hyperelastic shell formulation based on the Kirchhoff–Love shell theory and isogeometric discretization, where we take into account the out-of-plane deformation mapping. Accounting for that mapping affects the curvature term. I…
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A geometrically exact isogeometric Kirchhoff plate: Feature‐preserving automatic meshing and <i>C</i><sup>1</sup> rational triangular Bézier spline discretizations Open
Summary The analysis of the Kirchhoff plate is performed using rational Bézier triangles in isogeometric analysis coupled with a feature‐preserving automatic meshing algorithm. Isogeometric analysis employs the same basis function for geom…
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Turbocharger turbine and exhaust manifold flow computation with the Space–Time Variational Multiscale Method and Isogeometric Analysis Open
We address the computational challenges encountered in turbocharger turbine and exhaust manifold flow analysis. The core computational method is the Space–Time Variational Multiscale (ST-VMS) method, and the other key methods are the ST Is…
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Shape, displacement and mechanical properties from isogeometric multiview stereocorrelation Open
It is proposed to develop a multiview framework to perform stereocorrelation by resorting to isogeometric descriptions of the observed three-dimensional surfaces. Once the three-dimensional surfaces have been reconstructed, the correspondi…
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Preconditioning immersed isogeometric finite element methods with application to flow problems Open
Immersed finite element methods generally suffer from conditioning problems when cut elements intersect the physical domain only on a small fraction of their volume. We present a dedicated Additive-Schwarz preconditioner that targets the u…
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Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners Open
Isogeometric analysis has been introduced as an alternative to finite element methods in order to simplify the integration of computer-aided design (CAD) software and the discretization of variational problems of continuum mechanics. In co…
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A geometrically nonlinear Euler–Bernoulli beammodel within strain gradient elasticity with isogeometric analysis and latticestructure applications Open
The nonlinear governing differential equation and variational formulation of the Euler–Bernoulli beam model are formulated within Mindlin’s strain gradient elasticity theory of form II by adopting the von Kármán strain assumption. The form…
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Reissner-Mindlin Based Isogeometric Finite Element Formulation for Piezoelectric Active Laminated Shells Open
The paper deals with the isogeometric analysis (IGA) of active composite laminates with piezoelectric layers. IGA is a special formulation of the finite element method (FEM) that aims at seamless integration of geometric and finite element…
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Medical-image-based aorta modeling with zero-stress-state estimation Open
Because the medical-image-based geometries used in patient-specific arterial fluid–structure interaction computations do not come from the zero-stress state (ZSS) of the artery, we need to estimate the ZSS required in the computations. The…
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Space–Time Variational Multiscale Isogeometric Analysis of a tsunami-shelter vertical-axis wind turbine Open
We present computational flow analysis of a vertical-axis wind turbine (VAWT) that has been proposed to also serve as a tsunami shelter. In addition to the three-blade rotor, the turbine has four support columns at the periphery. The colum…
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Element length calculation in B-spline meshes for complex geometries Open
Variational multiscale methods, and their precursors, stabilized methods, have been playing a core-method role in semi-discrete and space–time (ST) flow computations for decades. These methods are sometimes supplemented with discontinuity-…
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Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency Open
An important ingredient of any moving-mesh method for fluid-structure interaction (FSI) problems is the mesh moving technique (MMT) used to adapt the computational mesh in the moving fluid domain. An ideal MMT is computationally inexpensiv…
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Data-Driven Structural Design Optimization for Petal-Shaped Auxetics Using Isogeometric Analysis Open
Focusing on the structural optimization of auxetic materials using data-driven methods, a back-propagation neural network (BPNN) based design framework is developed for petal-shaped auxetics using isogeometric analysis. Adopting a NURBS-ba…
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An adaptive SVD–Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method Open
This work presents an adaptive Singular Value Decomposition (SVD)-Krylov reduced order model to solve structural optimization problems. By utilizing the SVD, it is shown that the solution space of a structural optimization problem can be d…