In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used for computing the fundamental solutions. In addition the inclusion may exhibit inelastic material behavior. In this paper only plane stress/strain problems are considered. In our approach the geometry of the inclusion i...

NURBS surfaces are widely used in computer graphics, due to their great accuracy of design and reduced amount of data needed for representation. For real-time visualization, tessellation algorithms are needed, as they make use of the actual graphics hardware through the conversion of surfaces to triangle meshes. The existent algorithms for tessellation are only partially adaptive because the te...

This paper presents an algorithm of modifying free-formed NURBS curve/surface for offsetting without local self-intersecting. The method consists of (1) sampling a number of points from a progenitor curve/surface based on second derivatives; (2) checking the curvature or maximum curvature of the progenitor curve/surface at the sampled points; (3) inserting corresponding knots of sampled points;...

Riemann Existence Theorems for Galois covers of Mumford curves by Mumford curves are stated and proven. As an application, all finite groups are realised as full automorphism groups of Mumford curves in characteristic zero.

Many industrial structural mechanics applications require topologically similar meshes on topologically similar surfaces that might differ in shape or size. Rotationally symmetric mesh models requiring cyclic symmetry boundary conditions, contact meshes that connect large structural assemblies and automotive and space panels with minor structural variations are some common challenges. The prese...

Analysis of the laminated composite plates under transverse loading is considered using the new method of Isogeometric Analysis (IGA). Non-Uniform Rational B-Splines(NURBS)are used as shape functions for modeling the geometry of the structure and also are used as shape functions in the analysis process. To show robustness of the new technique, some examples are represented and are compared with...

in this article, by using chebyshev’s polynomials and chebyshev’s expansion, we obtain the best uniform polynomial approximation out of p2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

A three-dimensional (3D) geometric model obtained from a 3D device or other approaches is not necessarily watertight due to the presence of geometric deficiencies. These deficiencies must be repaired to create a valid surface mesh on the model as a preprocess of computational engineering analyses. This procedure has been a tedious and labor-intensive step, as there are many kinds of deficiencie...