Three Dimensional Finite Element Program for Determination of Cure Level in Thick Rubber Part

2017 ◽  
Vol 728 ◽  
pp. 318-324 ◽  
Author(s):  
Sacharuck Pornpeerakeat ◽  
Tonkid Chantrasmi ◽  
Arisara Chaikittiratana ◽  
Sitthichai Limrungruengrat
Keyword(s):  
Finite Element ◽  
Time Pressure ◽  
Three Dimensional ◽  
Cure Kinetics ◽  
Curing Kinetics ◽  
Heat Transfer Analysis ◽  
Element Formulation ◽  
Curing Process ◽  
Finite Element Program ◽  
Standard Fortran

The vulcanization or curing process begins in a heated mould to convert viscous uncured rubber materials into functional elastic ones. As the mechanical properties and service performances of the final products are greatly affected by the state of cure or cure level of rubbers, thus it is very crucial to use suitable time, pressure and temperature for the curing process to ensure that the desired quality of the final products are obtained. A computer program “RACE-CURE” written in standard FORTRAN code has been developed by our research team for the analysis of curing process of large rubber parts. The program is developed based on the incremental finite element formulation for three dimensional nonlinear transient heat transfer analysis coupled with cure kinetics. The RACE-CURE is tested for a test problem of curing of a large rubber block and results are compared to another two programs: ANSYS Polyflow v.14 and CFEM, a MATLAB© FEM program with capability to add curing kinetics, independently developed at our research group.

Determination of Temperatures and Heat Fluxes on Surfaces and Interfaces of Multi-Domain Three-Dimensional Electronic Components

2003 ◽  
Author(s):  
Brian H. Dennis ◽  
Zhen-Xue Han ◽  
George S. Dulikravich
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Measurement Errors ◽  
Sparse Matrix ◽  
Three Dimensional ◽  
Heat Fluxes ◽  
Junction Temperature ◽  
Element Formulation ◽  
Finite Element Program ◽  
Element Program

A finite element method (FEM) formulation for the prediction of unknown steady boundary conditions in heat conduction for multi-domain three-dimensional solid objects is presented. The FEM formulation is capable of determining temperatures and heat fluxes on the boundaries where such quantities are unknown, provided such quantities are sufficiently over-specified on other boundaries. An inverse finite element program has been previously developed and successfully tested on 3-D simple geometries. The finite element code uses an efficient sparse matrix storage scheme that allows treatment of realistic three-dimensional problems on personal computer. The finite element formulation also allows for very straight-forward treatment of geometries composed of many different materials. The inverse FEM formulation was applied to the prediction of die junction temperature distribution in a simple ball grid array (BGA) electronic package. Examples are presented with simulated measurement that include random measurement errors. Regularization was applied to control numerical error when large measurement errors were added to the over-specified boundary conditions.

Determination of Temperatures and Heat Fluxes on Surfaces and Interfaces of Multidomain Three-Dimensional Electronic Components

2004 ◽  
Vol 126 (4) ◽  
pp. 457-464 ◽  
Author(s):  
Brian H. Dennis ◽  
Zhen-xue Han ◽  
George S. Dulikravich
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Measurement Errors ◽  
Sparse Matrix ◽  
Three Dimensional ◽  
Heat Fluxes ◽  
Junction Temperature ◽  
Element Formulation ◽  
Finite Element Program ◽  
Element Program

A finite element method (FEM) formulation for the prediction of unknown steady boundary conditions in heat conduction for multidomain three-dimensional (3D) solid objects is presented. The FEM formulation is capable of determining temperatures and heat fluxes on the boundaries where such quantities are unknown, provided such quantities are sufficiently overspecified on other boundaries. An inverse finite element program has been previously developed and successfully tested on 3D simple geometries. The finite element code uses an efficient sparse matrix storage scheme that allows treatment of realistic 3D problems on personal computer. The finite element formulation also allows for very straightforward treatment of geometries composed of many different materials. The inverse FEM formulation was applied to the prediction of die-junction temperature distribution in a simple ball grid array electronic package. Examples are presented with simulated measurements, which include random measurement errors. Regularization was applied to control numerical error when large measurement errors were added to the overspecified boundary conditions.

scholarly journals A Method for Thermal Analysis of Spiral Bevel Gears

1996 ◽  
Vol 118 (4) ◽  
pp. 580-585 ◽  
Author(s):  
R. F. Handschuh ◽  
T. P. Kicher
Keyword(s):  
Three Dimensional ◽  
Contact Analysis ◽  
Heat Transfer Analysis ◽  
Maximum Pressure ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Finite Element Program ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

A modelling method for analyzing the three-dimensional thermal behavior of spiral bevel gears has been developed. The model surfaces are generated through application of differential geometry to the manufacturing process for face-milled spiral bevel gears. Contact on the gear surface is found by combining tooth contact analysis with three-dimensional Hertzian theory. The tooth contact analysis provides the principle curvatures and orientations of the two surfaces. This information is then used directly in the Hertzian analysis to find the contact size and maximum pressure. Heat generation during meshing is determined as a function of the applied load, sliding velocity, and coefficient of friction. Each of these factors change as the point of contact changes during meshing. A nonlinear finite element program was used to conduct the heat transfer analysis. This program permitted the time- and position-varying boundary conditions, found in operation, to be applied to a one-tooth model. An example model and analytical results are presented.

scholarly journals Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations

2012 ◽  
Author(s):  
Kaliappan Jayabal ◽  
Andreas Menzel
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Three Dimensional ◽  
Specific Property ◽  
Voronoi Cell ◽  
Polycrystalline Materials ◽  
Element Formulation ◽  
Hybrid Finite Element ◽  
Grain Structures ◽  
Polygonal Elements

Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can efficiently be used to model the behaviour of polycrystalline materials. Randomly generated three-dimensional Voronoi polygonal elements with varying numbers of surfaces and corners in general better approximate the geometry of polycrystalline microor rather grain-structures than the standard tetrahedral and hexahedral finite elements. In this work, the application of a polygonal finite element formulation to three-dimensional elastomechanical problems is elaborated with special emphasis on the numerical implementation of the method and the construction of the element stiffness matrix. A specific property of Voronoi-based discretisations in combination with a hybrid finite element approach is investigated. The applicability of the framework established is demonstrated by means of representative numerical examples.

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