Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials [PDF]
Mathematics, 2022 In this study, a Monte Carlo simulation (MCs)-based isogeometric stochastic Finite Element Method (FEM) is proposed for uncertainty quantification in the vibration analysis of piezoelectric materials.
Yanming Xu +4 more
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Quadrature-free immersed isogeometric analysis. [PDF]
Eng Comput, 2022 AbstractThis paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the evaluation of polynomial integrals over spline boundary representations that is exclusively ...
Antolin P, Hirschler T.
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Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 AbstractThis paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the local resolution of possible singularities as well as the state-of-the-art formulation of convergence and ...
Buffa A +4 more
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Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis. [PDF]
HeliyonThis study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams.
Abdi F +6 more
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ON DEVELOPMENT OF THE INTERACTIVE DESIGN TOOL BASED ON ISOGEOMETRIC ANALYSIS
Acta Polytechnica CTU Proceedings, 2017 Isogeometric analysis is a new concept of Finite element method which has been proposed to bridge the gap between the CAD systems and the FEM solvers. In Isogeometric analysis, the same basis functions, typically splines or NURBS, are used for geometry ...
Edita Dvořáková, B. Patzák
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Isogeometric iFEM Analysis of Thin Shell Structures [PDF]
Sensors, 2020 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, reliability, and affordability. The inverse finite element method (iFEM) is an innovative shape-sensing technique that was
Adnan Kefal, Erkan Oterkus
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The role of Bézier extraction in adaptive isogeometric analysis: Local refinement and hierarchical refinement. [PDF]
Int J Numer Methods Eng, 2018 de Borst R, Chen L.
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A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects. [PDF]
Arch Comput Methods Eng, 2018 Marussig B, Hughes TJR.
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Floating Isogeometric Analysis
Computer Methods in Applied Mechanics and Engineering, 2022 We propose Floating Isogeometric Analysis (FLIGA), which extends the concepts of IGA to Lagrangian extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions in one direction of the parametric space. With basis functions 'floating' deformation-dependently in this direction,
Helge C. Hille +2 more
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Compressive isogeometric analysis [PDF]
Computers & Mathematics with Applications, 2020 This work is motivated by the difficulty in assembling the Galerkin matrix when solving Partial Differential Equations (PDEs) with Isogeometric Analysis (IGA) using B-splines of moderate-to-high polynomial degree. To mitigate this problem, we propose a novel methodology named CossIGA (COmpreSSive IsoGeometric Analysis), which combines the IGA principle
Simone Brugiapaglia +2 more
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