Abstract The capability of Non‐Uniform Rational B‐Splines (NURBS) to exactly represent conic sections makes Isogeometric Analysis (IGA) an attractive alternative classical Finite Element Method (FEM) for tire simulation. Application NURBS as basis functions geometry representation simplifies the generation computational mesh that can be directly obtained from software graphical design. NURBS‐ba...

The contribution is concerned with a finite element formulation for the nonlinear analysis of heterogeneous solids in boundary representation. It results an arbitrary number curved edges. edges can be parametrized by, example, non-uniform rational B-splines (NURBS). presented based on scaling concept, which adopted from so-called scaled method (SBFEM). In contrast to SBFEM, proposed uses numeri...

The scaled boundary finite element method(SBFEM) is a semi-analysis method, combing the advantages of method and method. However, in solving quadruple corner-cut ridged elliptical(QCRE) waveguide, traditional SBFEM employ Lagrange polynomials as basis functions which leads to curved boundaries cannot be exactly represented continuity order across low. In this paper, non-uniform rational B-splin...

This paper shows a new approach for non-linear least squares fitting with NURBS as curves and surfaces to measured data by the Gauss-Newton method. A Trust Region algorithm is used to reach global convergence as well as variable substitution and simple bounds. Key–Words: Non-linear least squares, NURBS, curve and surface fitting, reverse engineering, optimisation, GaussNewton

Image processing techniques are used to detect the edges of a hand-drawn sketch. Generally, various types of gradation are expressed in the background of a hand-drawn sketch. Therefore, the original image is transformed into a logarithmic image. The entire image has to be binarized for edge detection. To smooth the edge of the binary image, feature based erosion and dilation is applied. A Lapla...

Today scene graphs are ubiquitous in computer graphics: since they provide both a well suited data structure and an abstraction layer, almost all modern graphics applications employ some sort of scene graph. Unfortunately most scene graphs do not support higher order primitives (such as trimmed NURBS) adequately, even though in Computer Aided Design (CAD) systems the de facto standard surface r...

Computational fluid dynamics (CFD) simulations of flow over complex objects have been performed traditionally using fluid-domain meshes that conform to the shape of the object. However, creating shape conforming meshes for complicated geometries like automobiles require extensive geometry preprocessing. This process is usually tedious and requires modifying the geometry, including specialized o...

We initiate the study of efficient quadrature rules for NURBS-based isogeometric analysis. A rule of thumb emerges, the “half-point rule”, indicating that optimal rules involve a number of points roughly equal to half the number of degrees-of-freedom, or equivalently half the number of basis functions of the space under consideration. The half-point rule is independent of the polynomial order o...

A variational formulation and numerical implementation of the phase-field models for shape memory alloys using distributed computing are reported in the paper. The numerical implementation is based on the isogeometric analysis framework, constituting the rich NURBS basis functions. The phase field models are developed using the strain based order parameter and the Ginzburg-Landau theory. The fo...