Non-Uniform Rational B-Splines (NURBS) is a well-established tool for geometric design having become the de facto industry standards for the representation, design, and data exchange of geometric information. The introduction of a trimmed surface data type in the description of free form objects or parts of solids has provided greater power and flexibility to the standard NURBS representational...

Problem statement: The objective of this study is to compare the methods for approximating the positions of twist fiber in yarn structures. Computer Aided Design (CAD) is applied using parametric equation, spline curve and NURBS curve. The ideal twist fiber and fiber migration are studied in 3 dimensions. Approach: The fiber positions in yarn structures were measured by trace fiber technique. T...

The mapping of real-world objects to 3D geometry is of particular importance for engineering applications such as as-built modeling for progress monitoring and energy performance simulation. The state-of-the-art methods for fitting NURBS to point clouds still fail to account for all the topological variations or struggle with the mapping of physical space to parameter space given unordered, inc...

Generalized finite element methods have proved a great potential in the mesh-independent modeling of both weak and strong discontinuities, such as the ones encountered when treating materials with inclusions or cracks. By removing the constraint of a conforming mesh, more freedom is offered to modeling exact geometries by means of splines. However, very few studies have been published which com...

Rendering large trimmed NURBS models with high quality at interactive frame rates is of great interest for industry, since nearly all their models are designed on the basis of this surface type. Most existing approaches transform the NURBS surfaces into polygonal representation and build static levels of detail. Unfortunately, algorithms which keep the NURBS representation and generate view-dep...

This work presents some numerical aspects of isogeometric boundary element methods (IGABEM). The behavior hyper-singular and nearly-singular integration is first explored on the distorted NURBS surface. Several treatments are proposed to enhance quadrature in framework analysis. Then a implementation IGABEM trimmed detailed. Based this idea, surface crack problem modeled incorporation with phan...

Abstract—A novel scheme of combining non-uniform rational Bsplines (NURBS) model with higher-order moment method (HOMM) is presented. The mesh precision of conforming to practical object is a major factor for HOMM to yield accurate results. In the present paper, NURBS technique is employed to model complex objects accurately with large curved Bezier patches and no factitious geometric discontin...

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 along delamination planes in an automatic fashion. A complete computational framework is presented including pre-processing, processing and post-processing. Th...

This paper presents a method of determining the approximate swept volume of Non-Uniform Rational B-Spline (NURBS) surfaces or solids. The method consists of (1) slicing the NURBS surfaces or solids by finding the intersection of plane/surface; (2) forming the sliced curves; (3) setting up the local moving coordinate system; (4) determining the characteristic (also called singular) points or cur...