The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-sc...The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic struc- ture under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.展开更多
The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considere...The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the twoorder and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective.展开更多
In the present paper,a homogenization-based two-scale FEM-FEM model is developed to simulate compactions of visco-plastic granular assemblies.The granular structure consisting of two-dimensional grains is modeled by t...In the present paper,a homogenization-based two-scale FEM-FEM model is developed to simulate compactions of visco-plastic granular assemblies.The granular structure consisting of two-dimensional grains is modeled by the microscopic finite element method at the small-scale level,and the homogenized viscous assembly is analyzed by the macroscopic finite element method at large-scale level.The link between scales is made using a computational homogenization method.The two-scale FEM-FEM model is developed in which each particle is treated individually with the appropriate constitutive relations obtained from a representative volume element,kinematic conditions,contact constraints,and elimination of overlap satisfied for every particle.The method could be used in a variety of problems that can be represented using granular media.展开更多
基金supported by the National Natural Science Foundation of China(Nos.10801042 and 11171257)the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20104410120001)
文摘The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic struc- ture under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.
基金Project supported by the National Natural Science Foundation of China(No.10590353)the Science Research Project of National University of Defense Technology(No.JC09-02-05)
文摘The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the twoorder and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective.
基金This work was supported by National Natural Science Foundation of China(Grant No.10972162).
文摘In the present paper,a homogenization-based two-scale FEM-FEM model is developed to simulate compactions of visco-plastic granular assemblies.The granular structure consisting of two-dimensional grains is modeled by the microscopic finite element method at the small-scale level,and the homogenized viscous assembly is analyzed by the macroscopic finite element method at large-scale level.The link between scales is made using a computational homogenization method.The two-scale FEM-FEM model is developed in which each particle is treated individually with the appropriate constitutive relations obtained from a representative volume element,kinematic conditions,contact constraints,and elimination of overlap satisfied for every particle.The method could be used in a variety of problems that can be represented using granular media.
