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This paper presents an effective formulation to study the response of laminated composites based on isogeometric approach (IGA) and Carrera unified formulation (CUF). The IGA utilizes the non-uniform rational B-spline (NURBS) functions…

数值分析 · 数学 2013-12-17 S Natarajan , H Nguyen-Xuan , AJM Ferreira , E Carrera

In this work we apply reduced basis methods for parametric PDEs to an isogeometric formulation based on NURBS. The motivation for this work is an integrated and complete work pipeline from CAD to parametrization of domain geometry, then…

数值分析 · 数学 2017-10-18 Denis Devaud , Gianluigi Rozza

With more efficient structures, last trends in aeronautics have witnessed an increased flexibility of wings, calling for adequate design and optimization approaches. To correctly model the coupled physics, aerostructural optimization has…

计算工程、金融与科学 · 计算机科学 2021-06-04 Rocco Bombardieri , Rauno Cavallaro , Ruben Sanchez , Nicolas R. Gauger

This paper presents the application of triangle configuration B-splines (TCB-splines) for representing and analyzing the Kirchhoff-Love shell in the context of isogeometric analysis (IGA). The Kirchhoff-Love shell formulation requires…

计算工程、金融与科学 · 计算机科学 2023-05-02 Zhihao Wang , Juan Cao , Xiaodong Wei , Zhonggui Chen , Hugo Casquero , Yongjie Jessica Zhang

Thermal modeling of Laser Powder Bed Fusion (LPBF) is challenging due to steep, rapidly moving thermal gradients induced by the laser, which are difficult to resolve accurately with conventional Finite Element Methods. Highly refined,…

数值分析 · 数学 2025-11-26 Yang Yang , Ye Ji , Matthias Möller , Can Ayas

Volumetric spline parameterization and computational efficiency are two main challenges in isogeometric analysis (IGA). To tackle this problem, we propose a framework of computation reuse in IGA on a set of three-dimensional models with…

数值分析 · 计算机科学 2016-09-02 Gang Xu , Tsz-Ho Kwok , Charlie C. L. Wang

This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulations. In…

数值分析 · 数学 2023-07-12 Giang Huynh , Xiaoying Zhuang , Hoang-Giang Bui , G. Meschke , Hung Nguyen-Xuan

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element…

数值分析 · 数学 2019-05-21 Kosala Bandara , Fehmi Cirak

The finite element method (FEM) is commonly used in computational cardiac simulations. For this method, a mesh is constructed to represent the geometry and, subsequently, to approximate the solution. To accurately capture curved geometrical…

This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

计算工程、金融与科学 · 计算机科学 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

We extend the softFEM idea to isogeometric analysis (IGA) to reduce the stiffness (consequently, the condition numbers) of the IGA discretized problem. We refer to the resulting approximation technique as softIGA. We obtain the resulting…

数值分析 · 数学 2022-11-09 Quanling Deng , Pouria Behnoudfar , Victor M. Calo

Isogeometric Analysis (IgA) is a spline based approach to the numerical solution of partial differential equations. There are two major issues that IgA was designed to address. The first issue is the exact representation of domains stemming…

数值分析 · 数学 2024-05-16 Stefan Tyoler , Stefan Takacs

Future e-mobility calls for efficient electrical machines. For different areas of operation, these machines have to satisfy certain desired properties that often depend on their design. Here we investigate the use of multipatch Isogeometric…

数值分析 · 数学 2026-04-02 Peter Gangl , Ulrich Langer , Angelos Mantzaflaris , Rainer Schneckenleitner

The numerical simulation of additive manufacturing techniques promises the acceleration of costly experimental procedures to identify suitable process parameters. We recently proposed Floating Isogeometric Analysis (FLIGA), a new…

计算工程、金融与科学 · 计算机科学 2024-04-17 Helge C. Hille , Siddhant Kumar , Laura De Lorenzis

This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the $C^1$ requirement of Kirchhoff-Love-based discretizations. Weak enforcement of coupling…

数值分析 · 数学 2024-04-15 Giuliano Guarino , Pablo Antolin , Alberto Milazzo , Annalisa Buffa

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are…

计算工程、金融与科学 · 计算机科学 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

Geometry Independent Field approximaTion (GIFT) was proposed as a generalization of Isogeometric analysis (IGA), where different types of splines are used for the parameterization of the computational domain and approximation of the unknown…

计算工程、金融与科学 · 计算机科学 2022-10-11 Javier Videla , Ahmed Mostafa Shaaban , Elena Atroshchenko

During the last ten years, increasing efforts were made to improve and simplify the process from Computer Aided Design (CAD) modeling to a numerical simulation. It has been shown that the transition from one model to another, i.e. the…

计算工程、金融与科学 · 计算机科学 2018-10-01 Benjamin Wassermann , Stefan Kollmannsberger , Tino Bog , Ernst Rank

Mesh adaptivity is a technique to provide detail in numerical solutions without the need to refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be driven by Truncated Hierarchical B-splines (THB-splines)…

数值分析 · 数学 2025-03-20 H. M. Verhelst , A. Mantzaflaris , M. Möller , J. H. Den Besten

In engineering design, one of the most daunting problems in the design-through-analysis workflow is to deal with trimmed NURBS (Non-Uniform Rational B-Splines), which often involve topological/geometric issues and lead to inevitable gaps…

计算几何 · 计算机科学 2024-10-21 Zheng Wei , Xiaodong Wei