Second-Order Two-Scale Finite Element Method for Piezoelectric Problem in Composite Plate

2014 ◽  
Vol 602-605 ◽  
pp. 3047-3051
Author(s):  
Zi Qiang Wang ◽  
Jun Ying Cao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Composite Plate ◽  
Second Order ◽  
Computational Method ◽  
Deformation Pattern ◽  
Integral Projection ◽  
Periodic Configuration ◽  
Micro Structures ◽  
Element Method

In this paper, we construct a second-order two-scale (SOTS) finite element method for piezoelectric problem in composite plate with 3-D periodic configuration by means of construction way. Based on theReissner-Mindlindeformation pattern and integral projection operator of electric field, the homogenization solution of piezoelectric problem is obtained based on finite element method. The SOTS's computational method is constructed by SOTS's asymptotic expansion. A set of numerical results are demonstrated for predicting the displacement and temperature of composite plate. It shows that SOTS's finite element method can capture the 3-D local behaviors caused by 3-D micro-structures well.

Second Order Two-Scale Method for Composite Plate with 3-D Periodic Configuration under Condition of Coupled Thermoelasticity

2014 ◽  
Vol 898 ◽  
pp. 7-10 ◽  
Author(s):  
Zi Qiang Wang ◽  
Jun Ying Cao
Keyword(s):  
Composite Plate ◽  
Second Order ◽  
Computational Method ◽  
Deformation Pattern ◽  
Effective Parameters ◽  
Coupled Thermoelasticity ◽  
Integral Projection ◽  
Cell Functions ◽  
Periodic Configuration ◽  
Micro Structures

In this paper, we give a second-order two-scale (SOTS) computational method for composite plate with 3-D periodic configuration under condition of coupled thermoelasticity by means of construction way. Based on the Reissner-Mindlin deformation pattern and integral projection operator of temperature, the homogenization solution is obtained. The SOTS's approximate solution is constructed by the cell functions and the homogenization solution. A set of numerical results are demonstrated for predicting the effective parameters, the displacement and temperature of composite plate. It shows that SOTS's method can capture the 3-D local behaviors caused by 3-D micro-structures well.

Parametric Study of a Simply Supported Composite Plate Using Finite Element Method

2014 ◽  
Vol 4 (4) ◽  
pp. 26-33
Author(s):  
P.Deepak Kumar ◽  
◽  
Ishan Sharma ◽  
P.R. Maiti ◽  
◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parametric Study ◽  
Composite Plate ◽  
Simply Supported ◽  
Element Method

A New Stabilized Finite Element Formulation for Solving Radiative Transfer Equation

2016 ◽  
Vol 138 (6) ◽  
Author(s):  
L. Zhang ◽  
J. M. Zhao ◽  
L. H. Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Second Order ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Stabilized Finite Element ◽  
Element Method

A new stabilized finite element formulation for solving radiative transfer equation is presented. It owns the salient feature of least-squares finite element method (LSFEM), i.e., free of the tuning parameter that appears in the streamline upwind/Petrov–Galerkin (SUPG) finite element method. The new finite element formulation is based on a second-order form of the radiative transfer equation. The second-order term will provide essential diffusion as the artificial diffusion introduced in traditional stabilized schemes to ensure stability. The performance of the new method was evaluated using challenging test cases featuring strong medium inhomogeneity and large gradient of radiative intensity field. It is demonstrated to be computationally efficient and capable of solving radiative heat transfer in strongly inhomogeneous media with even better accuracy than the LSFEM, and hence a promising alternative finite element formulation for solving complex radiative transfer problems.

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