The date of receipt and acceptance will be inserted by the editor Summary We construct stable, conforming and symmetric finite elements for the mixed formulation of the linear elasticity problem in two dimensions. In our approach we add three divergence free rational functions to piecewise polynomials to form the stress finite element space. The relation with the elasticity elements and a class...

A formulation and an implementation of two-dimensional Boundary Element Method (BEM) analysis for steady state, uncoupled thermoelastic problems is presented. This approach differs from other treatments of thermal loads in BEM analysis in which the domain integrals due to the thermal gradients are to be incorporated in the analysis via particular-integrals. Thus unlike Finite Elements or Field ...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

a new approach is proposed to model a crack in orthotropic composite media using the extended finite element method (xfem). the xfem uses the concept of partition of unity in addition to meshless basic idea of approximating a field variable by its values at a set of surrounding nodes. as a result, higher order approximations can be designed with the same total number of degrees of freedom. in t...

We present m thts paper the application of the mortar element method m the case where fini te element methods are used in each subdornains The novelty is m the posstbility of dealing with tenahedra for thefimte element mesh Thts paper thus complètes the analysis of the mot tai element methods that allows for couphng different spectral and/or finite element methods in adjascent mbdomains in a fl...

Over the last years, the demand for high strength and low weight materials, such as fabric-reinforced plastics, has grown in the aeronautical industry. By decreasing the production cost with short production cycle times and increasing reproducibility by automation, fabric-reinforced plastics are becoming increasingly better economical competitors to other construction materials such as for exam...

This book is the third volume of a three-part textbook suitable for both graduate coursework and professional engineering research reference alike. Volume III focuses on time-dependent problems symmetric positive systems first-order PDEs called Friedrichs' systems.

The most popular instrumentation used in the Electrical Engineering, presents edges that in the presence of an important electric field, act like as concentrating of electrostatic load and for they turn in the points with major probability of acting as way of an electrostatic discharge. The study from the electrostatic point of view of the behaviour of an edge, presents a singularity, since in ...

We consider in this paper the wave scattering problem by an object with Neumann boundary conditions in an anisotropic elastic body. To obtain an efficient numerical method (permitting the use of regular grids) we follow a fictitious domain approach coupled with a first order velocity stress formulation for elastodynamics. We first observe that the method does not always converge when the Qdiv 1...