We present an eecient 3D meshing algorithm which combines the merits of two popular meshing methods, advancing front and sphere packing methods. In particular , it inherits the practicality and simplicity of advancing front and the size-and-quality guarantee of the sphere packing method. We prove that it generates a well-shaped mesh whose size is within a constant factor of the optimal possible...

Curvilinear tooth gears are commonly produced on a face milling cutter and a hob cutter. However, this paper proposes a kind of curvilinear tooth gear which is processed by a parallel linkage with a single blade cutter. For the purpose of identifying the meshing and contact characteristics of curvilinear tooth gears, the paper covers the following: (i) equations of tooth surfaces are deduced fr...

Automatic and high quality hexahedral meshing of complex solid models is still a challenging task. To guarantee the quality of the generated mesh, current commercial software normally requires users to manually decompose a complex solid model into a set of simple geometry like swept volume whose high quality hexahedral mesh can be easily generated. The manual decomposition is a time-consuming p...

This paper discusses an elliptical pad structure and its polygonal approximation. The elliptical pad is a part of via model structures, which are important and critical components on today’s multilayered Printed Circuit Board (PCB) and electrical packaging. To explore meshing characterization of the elliptical pad helps mesh generation over 3D structures for electromagnetic modeling (EM) and si...

The use of feature recognition as part of an overall decomposition-based hexahedral meshing approach is described in this paper. Our meshing approach consists of feature recognition, using a c-loop or hybrid c-loop method, and the use of cutting surfaces to decompose the solid model. These steps are part of an iterative process, which proceeds either until no more features can be recognized or ...

For a variety of structural finite element analyses on automotive body panels, aerospace wings and space satellite panels, highquality, structured quadrilateral meshing is imperative. Transfinite meshing, the technique to produce such meshes is severely infringed by the presence of surface-interior point constraints. The present paper attempts to solve the inverse problem of transfinite meshing...

In this paper, 3D Finite Element Method (FEM)-based numerical modelling of precision hard turning has been studied to investigate the effects of chamfered edge geometry on tool forces, temperatures and stresses in machining of AISI 52100 steel using low-grade Polycrystalline Cubic Boron Nitrite (PCBN) inserts. An Arbitrary Lagrangian Eulerian (ALE)-based numerical modelling is employed for 3D p...

Computation of soft tissue mechanical responses for surgery simulation and image-guided surgery has been dominated by the finite element (FE) method that utilises a mesh of interconnected elements as a computational grid. Shortcomings of such mesh-based discretisation in modelling of surgical cutting include high computational cost and the need for re-meshing in the vicinity of cutting-induced ...

In Part I of this work, we analyzed superconvergence for piecewise linear finite element approximations on triangular meshes satisfying an O(h2) approximate parallelogram property. In this work, we consider superconvergence for general unstructured but shape regular meshes. We develop a postprocessing gradient recovery scheme for the finite element solution uh, inspired in part by the smoothing...