The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions

2001 ◽  
Vol 190 (15-17) ◽  
pp. 1967-1983 ◽  
Author(s):  
M. Küssner ◽  
B.D. Reddy
Keyword(s):  
Finite Elements ◽  
Three Dimensions ◽  
Stabilized Finite Elements

Analysis of Dynamic Response for Piezoelectric Vibration Converter by Finite Element Simulation

2007 ◽  
Vol 336-338 ◽  
pp. 335-337
Author(s):  
Xiang Cheng Chu ◽  
Ren Bo Yan ◽  
Wen Gong ◽  
Long Tu Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Dynamic Response ◽  
Finite Element Modeling ◽  
Three Dimensions ◽  
Dynamic Motion ◽  
Element Simulation ◽  
Piezoelectric Coupling ◽  
Piezoelectric Vibration

The dynamic behavior of a vibration converter of an ultrasonic motor is described using finite element method. Tetrahedral finite elements with three dimensions are formulated with the effects of piezoelectric coupling. And the solution of the coupled electroelastic equations of dynamic motion is presented. The simulated response of the vibration converter is calculated, and shows excellent consistency with experimental results, which proved that finite element modeling is a good approach to optimize piezoelectric apparatus design. A gradual optimized method is employed to ascertain the most compatible structure.

scholarly journals Finite elements for symmetric tensors in three dimensions

2008 ◽  
Vol 77 (263) ◽  
pp. 1229-1251 ◽  
Author(s):  
Douglas N. Arnold ◽  
Gerard Awanou ◽  
Ragnar Winther
Keyword(s):  
Finite Elements ◽  
Three Dimensions ◽  
Symmetric Tensors

3D Adaptive Remeshing Procedure and its Application to Large Deformation Problems

2012 ◽  
Vol 498 ◽  
pp. 199-209
Author(s):  
Jie Zhang ◽  
Abel Cherouat ◽  
Houman Borouchaki
Keyword(s):  
Finite Elements ◽  
Orthogonal Cutting ◽  
Nonlinear Problems ◽  
Posteriori Error ◽  
Three Dimensions ◽  
Local Conditions ◽  
Adaptive Remeshing ◽  
Damage Initiation ◽  
Material Behaviors ◽  
Physical Fields

Metal orthogonal cutting and blanking are two important forming processes which include material removing. During finite element analyzing, the nonlinear problems of boundary, material and geometry must be considered to obtain the accurate calculating results. In this paper, we present an advanced adaptive remeshing procedure which has the capacities to simulate material removing processes in three dimensions. The sizes of finite elements are well adapted to local conditions which have the high distributions of physical fields using priori and posteriori error estimates. Based on constraint Delaunay Kernel, the unit mesh strategy is proposed to improve the mesh quality. By optimizing of both mesh edges and mesh elements, the mesh shape qualities are strictly controlled as the regular tetrahedrons. In this paper, Johnson-cook model is considered to simulate the elastic-visco-plastical material behaviors. The damage initiation is also judged by Johnson-cook criterion. The finite elements which reach the criterion will be killed and the material removing processes finished step by step. The proposed adaptive remeshing scheme is well present using the simulation of metal orthogonal cutting, milling and blanking processes.

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