Detailed analysis of its principle, grid patterns and their characteristics, the theory and technique to calculate principal plastic strains of quadrilateral grids under homogenous forming condition are provided.
The Friedrichs Lax Scheme is extended to arbitrary quadrilateral grids. during itaration process the streamline positions are computed from streamline equation after the velocity field is obtained. Finally,the high resolution results obtained by the method are shown.
Besides, according to the ENO interpolation on unstructured grids, a class of linear interpolation polynomial is developed on anomalous quadrilateral grids and allows very small oscillation. Finally, numerical experiments are made with Lagrange method and remapping algorithm.
Based on the wide variety of quadrilateral element generation methods,an automatic mesh generator especially for finite element computation of metal forming processes has been proposed in the paper,and it allows varying element size distributions and produces well shaped boundary elements.
We present a simple, effective and computationally efficient approach for quadrilateral mesh adaptation.
Feature based quadrilateral mesh generation for sculptured surface products
By introducing the variable-node elements, which have physical mid-side nodes, some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome.
We verify that the convergence rate was between first and second order on the arbitrary quadrilateral grids and demonstrate robustness of the method in numerical examples.
This paper establishes the convergence of a multi point flux approximation control volume method on rough quadrilateral grids.
By rough grids we refer to a family of refined quadrilateral grids where the cells are not required to approach parallelograms in the asymptotic limit.
We discuss discrete formulations of the maximum principle and derive sufficient criteria for discrete monotonicity for arbitrary nine-point control-volume discretizations for conforming quadrilateral grids in 2D.
Concerning arbitrary quadrilateral grids, we show that only methods with parallelogram-like finite volume cells lead to a multi-symplectic discretization; i.e., to a method that preserves a discrete conservation law of symplecticity.
The set of four bars that delineate a quadrilateral element - the unit cell of the micromechanical analysis - is further endowed with a torsion deformation mode.
A new element for thin plate of bending with curvilinear boundary-Curvilinear boundary quadrilateral element
This paper presents a curvilinear boundary quadrilateral element for the problem of thin plate of bending with curvilinear boundary.
What's more the quadrilateral element obtained accordingly for the elastic bending of thick plates demonstrates such advantages as high precision for computation and availability of accurate integration for stiffness matrices.
Both, discontinuous tensile splitting and shear banding are examined in square and quadrilateral element, geometries within the frame of associated and non-associated elasto-plastic Rankine-and Drucker-Prager descriptions.