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In this paper we develop a new simple and effective isogeometric analysis for modeling thermal buckling of stiffened laminated composite plates with cutouts using level sets. We employ a first order shear deformation theory to approximate…

计算工程、金融与科学 · 计算机科学 2022-01-11 Balakrishnan Devarajan

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

In this contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual functionals is developed. Non-Uniform Rational B-splines (NURBS)…

计算工程、金融与科学 · 计算机科学 2024-04-18 Susanne Held , Sascha Eisenträger , Wolfgang Dornisch

In this paper, a novel varying order NURBS discretization method is proposed to enhance the performance of isogeometric analysis within the framework of computational contact mechanics. The method makes use of higher-order NURBS for contact…

数值分析 · 计算机科学 2020-06-03 Vishal Agrawal , Sachin S. Gautam

Locking is a common effect in finite element and isogeometric analysis. In the case of plates, transverse shear locking is most prominent, for shells several other types of locking exist. A common cure are mixed methods that introduce…

数值分析 · 数学 2026-02-26 Lisa Stammen , Wolfgang Dornisch

Analysis of static bending, free vibration and buckling behaviours of functionally graded microplates is investigated in this study. The main idea is to use the isogeometric analysis in associated with novel four-variable refined plate…

计算工程、金融与科学 · 计算机科学 2016-12-21 Hoang X. Nguyen , Tuan N. Nguyen , M. Abdel-Wahab , S. P. A. Bordas , H. Nguyen-Xuan , Thuc P. Vo

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

数值分析 · 数学 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

Isogeometric cohesive elements are presented for modeling two and three dimensional delaminated composite structures. We exploit the knot insertion algorithm offered by NURBS (Non Uniform Rational B-splines) to generate cohesive elements…

数值分析 · 数学 2014-10-07 Vinh Phu Nguyen , Pierre Kerfriden , Stephane Bordas

We present a novel stabilized isogeometric formulation for the Stokes problem, where the geometry of interest is obtained via overlapping NURBS (non-uniform rational B-spline) patches, i.e., one patch on top of another in an arbitrary but…

数值分析 · 数学 2023-09-22 Xiaodong Wei , Riccardo Puppi , Pablo Antolin , Annalisa Buffa

Shells are ubiquitous thin structures that can undergo large nonlinear elastic deformations while exhibiting combined modes of bending and stretching, and have profound modern applications. In this paper, we have proposed a new Isogeometric…

软凝聚态物质 · 物理学 2022-06-22 Nikhil Padhye , Subodh Kalia

This work introduces a scaffolding framework to compactly parametrise solid structures with conforming NURBS elements for isogeometric analysis. A novel formulation introduces a topological, geometrical and parametric subdivision of the…

计算几何 · 计算机科学 2022-06-10 Stefano Moriconi , Parashkev Nachev , Sebastien Ourselin , M. Jorge Cardoso

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

最优化与控制 · 数学 2019-01-30 Grigor Nika , Andrei Constantinescu

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

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

机器学习 · 计算机科学 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies,…

数值分析 · 计算机科学 2015-02-04 Benjamin Marussig , Jürgen Zechner , Gernot Beer , Thomas-Peter Fries

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by…

计算工程、金融与科学 · 计算机科学 2019-02-07 N. Vu-Bac , T. X. Duong , T. Lahmer , X. Zhuang , R. A. Sauer , H. S. Parke , T. Rabczuk

The immersed isogeometric Boundary Element Method is presented and applied to the simulation of underground excavations. Nonuniform rational B-splines (NURBS) are used for the accurate definition of complex geometries with few parameters.…

数值分析 · 数学 2022-12-01 Gernot Beer , Christian Duenser

This contribution explores the combined capabilities of reduced basis methods and IsoGeometric Analysis (IGA) in the context of parameterized partial differential equations. The introduction of IGA enables a unified simulation framework…

数值分析 · 数学 2025-10-14 Margarita Chasapi , Pablo Antolin , Annalisa Buffa

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

A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic homogenization problems is proposed. These problems possess highly oscillating coefficients leading to extremely high computational…

数值分析 · 数学 2017-10-31 H. Nguyen-Xuan , T. Hoang , V. P. Nguyen
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